What does the value of x have to be so that
(x,-7) and (-1,4) have a slope of 11/4 between them?

Answers

Answer 1
The value of x is 5

Solution:

The slope of a line is given by formula:

[tex]Slope = \frac{ y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex]slope = \frac{11}4}\\\\(x_1, y_1) = (x, -7)\\\\(x_2, y_2) = (-1, 4)[/tex]

Substituting the values we get,

[tex]\frac{11}{4} = \frac{4+7}{-1-x}\\\\-11 - 11x = 11 \times 4\\\\-11-11x = 44\\\\11x = -11-44\\\\11x = 55\\\\x = 5[/tex]

Thus the value of x is 5


Related Questions

The difference of a number and five is negative one. Find the number.

Answers

Answer:

The number is 4

Step-by-step explanation:

Write algebraically:

n-5=-1

n=4

The number is 4

Final answer:

To find the number when the difference of a number and five is negative one, substitute the given values into an equation and solve for the unknown variable.

Explanation:

To solve the problem, let's assign a variable to the unknown number. Let's call it 'x'. The difference of a number and five can be represented as 'x - 5'. According to the problem, this expression is equal to -1. So, we can write the equation x - 5 = -1. To find x, we need to isolate it on one side of the equation. Adding 5 to both sides, we get x = 4. Therefore, the number is 4.

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There are twelve inches in 1 foot. Convert 3 feet to inches.

Answers

Answer:

36 inches

Step-by-step explanation:

since there are 12 inches in one foot, just do 12 x 3 which equals 36.

A line that comes closest to data in the coordinate plane is called the line of

Answers

Answer:

That would be the line of best fit.

The line of best fit is a straight line that best represents the data on a scatter plot.

Hope that helps, :)

The first layer of a rectangle prism is packed with 25 unit cubes. There are no spaces or gaps between the cubes. The prism is 7 unit cubes tall. Which expression represents the volume of the rectangular prism?

Answers

Answer:

So, the answer is 175 but in an expression it is 25x where x would be the height in this situation it is 7.

Step-by-step explanation:

So basicly if there is 25 units and there are 7 layers of that 25 units you would multiply 7 by 25 to get 175.

Hence, in an expression it would be 25x where x would be 7

Which of the following equations has infinitely many solutions

Answers

Answer:

D

Step-by-step explanation:

Both equations are same

Answer:

D. 3x - 5 = -5 + 3x

Step-by-step explanation:

3x - 5 = -5 + 3x

3x = 3x

x = x (Infinitely many solutions)

Question 1 (Mandatory) (1 point)
Which method is best used to prove that a figure has a right angle?
a) Using slope formula to show two segments have opposite reciprocal slopes.
Ub Using slope formula to show two segments have the same slope.
C) Using distance formula to show two segments are congruent.
od) Using the midpoint formula to show two segments have the same midpoint.

Answers

Answer:

A

Step-by-step explanation:

Right angle means that the two sides that meet to create right angle are "perpendicular".

Two perpendicular lines meet to form the angle of 90 degrees.

In coordinate geometry, how do we prove that two lines are perpendicular??

We show that their slopes are negative reciprocals of each other.

This also tells us that the angle between the two lines are "right angle".

So, we can use slope formula to show two segments have opposite reciprocal slopes, that will tell us that it is a right angle between the two segments.

Option A is right.

last question promise

Answers

Answer:

80°

Step-by-step explanation:

A triangle = 180° total.

Because it is a parallelogram, 40° is also the measure of BCE.

180° - 60° - 40° = 80°

BEC = 80°

=
Write an equation in slope-intercept form for the line with y-intercept 5 and slope -1/4​

Answers

Equation is y = -1/4x + 5

Step-by-step explanation:

Step 1: Given slope, m = -1/4 and y-intercept, b = 5. Write the equation in slope intercept form which is y = mx + b

⇒ y = -1/4x + 5

ANSWER ASAP PLEASE :)

Answers

Answer:

20%

Step-by-step explanation:

If 10 goes to 12, that means there was an increase of 2. 2/10 is, in decimal form, 0.2. To change a decimal into a percentage, you multiply it by 100, giving you 20.

For the first question, the answer is 20% and the second question, it’s 20% as well.

Which number is most likely an irrational number?

Answers

Your answer is B. The answer is B because the numbers in the decimal are repeating numbers with no pattern. Unlike the rest of the options, they have a pattern to the numbers in the decimal

Sammy opens a bag of
skittles and counts all the
green skittles. There are
13 green skittles in a bag
with 65 skittles. What is the
ratio of green to total
skittles?​

Answers

1/5
13/65
1/5
Decimal 0.2

Final answer:

To find the ratio of green to total skittles, divide the number of green skittles by the total number of skittles and simplify the fraction. The ratio of green to total skittles is 1:5.

Explanation:

To find the ratio of green to total skittles, we need to divide the number of green skittles by the total number of skittles and simplify the fraction.

Ratio = Number of green skittles / Total number of skittles

Ratio = 13 / 65

Since 13 and 65 are both divisible by 13, we can simplify the fraction to:

Ratio = 1 / 5

Therefore, the ratio of green to total skittles is 1:5.

Factor: 25 m 6 −16 25m6−16 (5m3 + 8)(5m3 – 8) (5m3 – 8)2 (5m3 – 4)2 (5m3 + 4)(5m3 – 4)

Answers

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)


14) What is the vertex of y= x- 4x + 7?

Answers

Slope = -6.000/2.000 = -3.000
x-intercept = 7/3 = 2.33333
y-intercept = 7/1 = 7.00000

Complete the equation of the line through (3,-8) and (6,-4).
Use exact numbers.

Answers

Answer:

y = 4/3x - 12

Step-by-step explanation:

Use Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the slope

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = [tex]\frac{-4 - (-8)}{6 - 3}[/tex]

m = [tex]\frac{-4 + 8}{3}[/tex]

m = [tex]\frac{4}{3}[/tex]

Step 2:  Plug into point slope form

(y - (-4)) = 4/3(x - 6)

y + 4 = 4/3x - 24/3

y + 4 - 4 = 4/3x - 8 - 4

y = 4/3x - 12

Answer:  y = 4/3x - 12

Janet researcher compares the math placement scores of college applicants who have, or have not taken a special college preparation program.


Independent Variable (IV):

How will you describe the IV?:


Dependent variables (DV): ]

How will you measure the DV?:


Hypothesis:

Answers

Answer:

Step-by-step explanation:

Independent Variable (IV):  Special college preparation program

How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.

Dependent variables (DV): Math placement scores of college applicants

How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.

Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).

Hypothesis:

If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.

Final answer:

The independent variable in the study is whether college applicants have taken a special college preparation program or not, with the dependent variable being the math placement scores. A potential hypothesis could be that applicants who took the program will achieve higher math scores.

Explanation:

Independent Variable (IV): The independent variable in this study is whether college applicants have taken a special college preparation program or not.

Dependent Variable (DV): The dependent variable is the math placement scores of the college applicants.

Hypothesis: A possible hypothesis could be 'College applicants who have taken a special college preparation program will have higher math placement scores compared to those who have not taken the program.'

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

Answers

Answer:

1436

Step-by-step explanation:

the volume of the tennis ball is 1436

how can you find the differnt between points

Answers

Answer:

  subtract one from the other

Step-by-step explanation:

You find the difference between points the same way you find any difference: you subtract one from the other.

Points are generally described by an ordered pair. When you subtract one point from the other, you subtract corresponding parts of the ordered pair:

  (a, b) - (c, d) = (a-c, b-d)

__

Sometimes, when you're interested in finding the difference between points (x, y), you want to do something different with the y-difference than you do with the x-difference.

For example, the slope of a line is calculated as the ratio of the y-difference to the x-difference. The length of a line segment is the root of the sum of the squares of the differences.

Last year, Rina's history and math classes had regular tests. Each history test had 14
questions and each math test had 11 questions. If Rina had to answer the same number of
history questions and math questions last year, what is the smallest number of each type of
question she must have answered?

Answers

Answer:

154

Step-by-step explanation:

This ones tough so im not sure but try it. I hope this helps

Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound

and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, write

and solve a linear equation to find the amount of thistle bird seed she purchased

Answers

Answer:

The amount of thistle bird seed she purchased was 7.5 pounds

Step-by-step explanation:

Let

x ----> the amount in pounds of thistle bird seed she purchased

x ----> the amount in pounds of wild bird seed she purchased

we know that

Kate bought $23.40 worth of two types of bird seed.

so

[tex]1.60x+0.95y=23.40[/tex] ----> equation A

She bought 12 pounds of wild bird seed

so

[tex]y=12\ pounds[/tex]

substitute the value of y in the equation A

[tex]1.60x+0.95(12)=23.40[/tex]

solve for x

[tex]1.60x=23.40-11.40\\1.60x=12\\x=7.5\ pounds[/tex]

therefore

The amount of thistle bird seed she purchased was 7.5 pounds

Kate bought 7.5 pounds of thistle bird seed.

Since Kate bought $ 23.40 worth of two types of bird seed, thistle bird seed sells for $ 1.60 per pound and wild bird seed sells for $ 0.95 per pound, if she bought 12 pounds of wild bird seed, to find the amount of thistle bird seed she purchased, the following calculation must be performed, through a linear function:

(12 x 0.95) + 1.60X = 23.40 11.40 + 1.60X = 23.40 1.60X = 23.4 - 11.4 X = 12 / 1.60 X = 7.5

Therefore, Kate bought 7.5 pounds of thistle bird seed.

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Please help ty! I added extra points.
Hillary and Charlene both drove from City A to City B. At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h. Charlene drove at an average speed of 144 km/h and took 50 minutes. She arrived at City B at the same time as Hillary. Find the time Charlene left City A.

Answers

Let's denote the time Charlene left City A as [tex]\( t \).[/tex]

Since Charlene took 50 minutes (or [tex]\(\frac{50}{60} = \frac{5}{6}\) hours)[/tex] to reach City B, and she arrived at the same time as Hillary, we can set up the equation based on the distances traveled by both:

For Hillary:

[tex]\[ \text{Distance}_\text{Hillary} = \text{Speed}_\text{Hillary} \times \text{Time}_\text{Hillary} \]\[ \text{Distance}_\text{Hillary} = 120 \times (t + 1) \][/tex]

For Charlene:

[tex]\[ \text{Distance}_\text{Charlene} = \text{Speed}_\text{Charlene} \times \text{Time}_\text{Charlene} \]\[ \text{Distance}_\text{Charlene} = 144 \times \left(t + \frac{5}{6}\right) \][/tex]

Since they traveled the same distance, we can equate these two expressions:

[tex]\[ 120 \times (t + 1) = 144 \times \left(t + \frac{5}{6}\right) \][/tex]

Now, solve for \( t \):

[tex]\[ 120t + 120 = 144t + 120 \]\[ 24t = 120 \]\[ t = 5 \][/tex]

So, Charlene left City A at 5:00 a.m.

The difference of a number p and -9 is 12

Answers

Answer: 3

Step-by-step explanation: Your equation is p- (-9)=12. A negative plus a negative is a positive. So the equation is basically p+9=12. 12 minus 9 is 3 and that's the answer!

Sarah and Kaylee go to the movie theater and purchase refreshments for their friends.

Sarah spends a total of $47.00 on 12 drinks and 1 bag of popcorn.

Kaylee spends a total of $81.75 on 3 drinks and 9 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Each drink costs $3.25 and each popcorn costs $8.

Step-by-step explanation:

Step 1:

Assume each drink costs x dollars and each popcorn costs y dollars.

From the given data, we can write the following equations;

[tex]12x + y = 47[/tex], take this as equation 1,

[tex]3x+9y=81.75[/tex], take this as equation 2.

Step 2:

We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get

[tex]3x+9y = 81.75[/tex], take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.

[tex]-35y = -280, y = \frac{280}{35} = 8[/tex]

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y is substituted in equation 1.

[tex]12x+8 = 47, 12x= 39[/tex],

[tex]x=\frac{39}{12} = 3.25[/tex]

So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.

Write an equation in slope intercept form for the line that has a slope of 12 and passes through the point (3,20)

Answers

Answer:

y= 12x-16

Step-by-step explanation:

Given that you have a slope of 12 and a point of (3, 20), you are most obligated to using the Slope-Intercept form, or y=mx+b.

What this allows you to find is the y-intercept if your line has one. You take your point, (3,20), and you insert the values at the appropriate places. You should now have 20=12(3)+b. You will then solve for b by multiplying 12 and 3 to get 36 and subtract that from both sides of the equal sign. You should have 20-36=b. 20-36 is -16, which is your y-intercept.

Now you know all your needed values, you would write the Slope-Intercept form without the values for y and x, to represent your equation.

Since 12 is your slope, it will be 'm' and -16 will be 'b'.

You will end with y = 12x - 16.

The equation in slope intercept form will be "y = 12x - 16".

Given:

Line passing through,

[tex](x_1,y_1) = (3, 20)[/tex]

Slope,

[tex]m = 12[/tex]

The equation will be:

→ [tex]y - y_1 = m(x-x_1)[/tex]

By substituting the values,

→ [tex]y-20=12(x-3)[/tex]

→ [tex]y-20=12x-36[/tex]

          [tex]y = 12x-16[/tex]

Thus the above answer is right.

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A survey was conducted on 37 people so find out the colours that they like. It was found that 20 people like red, 22 people like blue and 17 people like green. It was also found that 7 people like blue and red, 12 people like blue and green, and 9 people like red and green. Assuming that x persons like three colours, find the value of x

A) 2
B) 4
C) 6
D) 8

Answers

(20 + 22 + 17) - 7 - 12 - (9 - x) = 37;

59 - 19 - 9 + x = 37;

31 + x = 37;

x = C) 6

If x over 5 equals 3 then what is x

Answers

Answer:

x=15

Step-by-step explanation:

x/5 =3

Multiply each side by 5

x/5 *5 = 3*5

x = 15

A store that sells merchandise on a college campus is restocking their inventory of sweatshirts and t-shirts. They order a total of 934 items. Each sweatshirt costs $8.00 and each t-shirt costs $5.00. They spend a total of $5,933.00.

A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

{s+t=934
{8s+5+=5933
The solution to the system is (421, 513). Interpret this solution in the context of the situation.

A. The store ordered 513 sweatshirts and 421 t-shirts.

B. The store ordered 421 sweatshirts and 513 t-shirts.

C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts.

D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts.

Answers

Answer:

Option B.

Step-by-step explanation:

A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

s + t = 934

8s + 5t = 5,933

The solution to the system is (421, 513).

So, The number of sweatshirts = 421

And the number of t-shirts = 513

Because 8 * 421 + 5 * 513 = $5,933

We will check the options:

A. The store ordered 513 sweatshirts and 421 t-shirts.  ⇒Wrong

B. The store ordered 421 sweatshirts and 513 t-shirts.  ⇒True

C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

So, the answer is option B.

Angie has saved $2.50 of her allowance every week for the past 12 weeks. If she continues saving the same amount each week, how many more weeks will it take her to save a total of $50

Answers

Answer:

20

Step-by-step explanation:

$2.50 x 12 equals 30

2.50 x 20 equals 50

x10= 2.50 x 20 =$50

Bowser bought mushrooms
at the farmer's market. He
paid $4.32 for 6 pounds of
mushrooms. At that rate,
how much should he pay for
5 pounds of mushrooms?

Answers

I’m pretty sure it’s $3.60. since the price for one pound it 72 cents

I WILL GIVE BRAINLIEST
Part A:
A garden is in the shape of a circle with a radius of 10 feet. Edging is placed around the garden
How much edging, in feet, is needed to go around the garden? Round to the nearest whole number?

Part B:
Another garden is in the shape of a semicircle with a radius of 25 feet. Edging is placed around this garden.
How much edging, in feet, is needed to go around this garden? Round to the nearest whole number.

Answers

Answer:

Part A = 64 feet

Part B = 79 feet

Step-by-step explanation:

Part A

10 × 2 = 20 = Diameter

Formula is C = π × diameter

20 × π = 62.8318530718 feet = 64 feet

Part B

25 × 2 = 50

Same formula

50 × π = 157.079632679 feet

157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet

divide by 2 because it is a semi circle

Hope his helped :)

Final answer:

For the circular garden with a radius of 10 feet, 63 feet of edging is required. For the semicircular garden with a radius of 25 feet, 129 feet of edging is needed. These figures are obtained by calculating the circumference of a circle and a semicircle, then rounding to the nearest whole number.

Explanation:

To find out how much edging is needed for the gardens, we need to calculate the circumference of the circles.

Part A

The formula for the circumference of a circle (which is the distance around the edge) is 2πr, where π (pi) is approximately 3.14, and r is the radius. For a circle with a radius of 10 feet, the circumference is:

2 × 3.14 × 10 feet = 62.8 feet

Rounded to the nearest whole number, we need 63 feet of edging for the garden.

Part B

For a semicircle with a radius of 25 feet, the circumference is half that of a whole circle, plus the diameter (which is 2 × radius). So, first calculate the circumference of the whole circle and then divide by 2 and add the diameter:

(2 × 3.14 × 25 feet) / 2 + 2 × 25 feet = 78.5 feet + 50 feet = 128.5 feet

Rounded to the nearest whole number, we need 129 feet of edging for the semicircular garden.

True or false: f(x) is a function.
f(x)

Answers

Answer:

yes it is

Step-by-step explanation:

f(x) or g(x) are functions

Answer:

It is False

Step-by-step explanation:

I tried true and got it wrong

Other Questions
Earnings on pooled investments and changes in fair value of investments are allocated to the participants having an equity interest in the pool in proportion to their relative contributions to the pool.1. true2. false In terms of _______ behavior, taking another's perspective improves children's likelihood of understanding and sympathizing with others when they are distressed or in need. Faith Cassen has recently been hired as the manager of Gibraltar Coffee Shop. Gibraltar Coffee Shop is a national chain of franchised coffee shops. During her first month as store manager, Faith encountered the following internal control situations:Faith caught an employee putting a case of 1,000 single-serving tea bags in his car. Not wanting to create a scene, Faith smiled and said, "I dont think youre putting those tea bags on the right shelf. Don't they belong inside the coffee shop?" The employee returned the tea bags to the stockroom.I _______with Faith's method of handling this situation because she has _______the internal control principle of safeguarding of assets.A. AGREEB. DISAGREEC. FOLLOWEDD. DID NOT FOLLOWED A 35-year-old man presents with anemia, neutropenia, thrombocytopenia, myeloblasts with the presence of Auer rods, and one or two distinct nucleoli and promyelocytes. Cytochemistry examination demonstrates peroxidase and Sudan black B (SBB) positive and TdT terminal eoxynucleotidyl transferase (TdT) negative. This hematologic picture is consistent with: A) Acute lymphoblastic leukemia (ALL) B) Acute myeloblastic leukemia (AML) C) Chronic myelocytic leukemia (CML) D) Chronic lymphocytic leukemia (CLL) E) None of the above Matter is the ability to cause change.Please select the best answer from the choices providedTF what is the answer to 8/3 divided by 10/3? What is a rhythmic cell common throughout the Caribbean, containing five separate articulations and organized into a long-short-long-short-long pattern Which statement about myosin is not true? A) Myosin is a heterohexamer. B) Myosin contains two globular heads. C) Myosin contains six different polypeptides D) Myosin aggregates to form thick filaments E) All of the answers above are true of myosin. None of this makes sense Determine the molecular formula of decene, which has an empirical formula of CH2 and a molar mass of 140.27 g/mol. 100.00541 helpssssss On January 2, 2019, Kornis Corporation acquired equipment for $ 300 comma 000. The estimated life of the equipment is 5 years or 80 comma 000 hours. The estimated residual value is $ 40 comma 000. What is the balance in Accumulated Depreciation on December 31, 2019, if Kornis Corporation uses the doubleminusdecliningminusbalance method of depreciation? Elyon holds a savings account in the Rochester City Bank in the United States. During an economic downturn, the bank suffers great losses. Elyon, however, is insured under the Federal Deposit Insurance Corporation and his savings are protected as the insurance covers his deposit value. Which of the following laws ensured the protection of depositors from a bank's failure?A. The Sarbanes-Oxley ActB. The Glass-Steagall ActC. The Gramm-Bliley-Leach ActD. The Securities Act What is another word for unmistaken that has 8 letters: t as the fourth and I as the last letter Which sentence uses a present participle as an adjective?A)My dog is always hogging all the space in my bed.B)Jamming too much clothing in the washing machine will clog it.C)Jonathan thought that the instructions were extremely confusing.D)We were getting along just fine until the conversation turned to politics. In research by John Meyer and Brian Rowan, what aspects of a bureaucracy were often found to be ceremonial or ritual, serving mainly to justify the way things are really done? How much heat must your body transfer to 500.0g of water to heat it from 25.0C to body temperature, 37.0C? What is the area of the figure?Enter your answer in the box. How to write an expression to represent a number g divided by 5 (1) Which of the following are APs ? If they form an AP, find the common difference d and write 3 more terms. (a) 2,4,8,16 (b) -1.2, -3.2,-5.2,-7.2,.. 2, 5/2 ,3, 7/2.. (d)-10,-6,-2.2, Steam Workshop Downloader