(-8,-4)&(2,-9) fint the distance between each pair of points

Answers

Answer 1

Answer:

[tex]5 \sqrt{5} [/tex]

Step-by-step explanation:

We want to find the distance between (-8,-4) and (2,-9).

We use the distance formula:

[tex]d = \sqrt{ {(x_2-x_1)^2} +(y_2-y_1)^2 } [/tex]

We substitute the coordinates to get:

[tex]d = \sqrt{ {(2- - 8)^2} +( - 9 - - 4)^2 } [/tex]

We simplify to obtain:

[tex]d = \sqrt{ {(2 + 8)^2}+( - 9 + 4)^2 } [/tex]

Add the numbers within the parenthesis to get:

[tex]d = \sqrt{ {(10)^2}+( -5)^2 } [/tex]

Find the squares of the numbers under the radical

[tex]d = \sqrt{ {100}+25} [/tex]

[tex]d = \sqrt{125} = 5 \sqrt{5} [/tex]


Related Questions

compare using <, >, = 5+(-4)____-4 + (-7)

Answers

Good morning,

Answer:

5+(-4) > -4 + (-7)

Step-by-step explanation:

5+(-4) = 5 - 4 = 1

-4 + (-7) = -(4+7) = -11

since  1 > -11 then 5+(-4) > -4 + (-7)

:)

Estimate the sum by rounding to the tens place

4,351
4,174
3,233
+5,155
———

Answers

The sum of them is 16,910 would be your answer

Write this algebraic expression to a verbal expression.
3(3j + 7 + 3j)
Best answer gets Brainliest!!!!

Answers

Answer:

The sum of three times j and three times j and the number seven, all multiplied by three.

Step-by-step explanation:

At a potato chip factory there were 41 machines
working with each machine able to produce 72
chips a minute. If this is enough potato chips to
fill 3 shipping boxes, how many chips are there
per box? How do you know?

Answers

Answer:

984 Chips per box

Step-by-step explanation:

41 x 72 = 2952 ÷ 3 (boxes) = 984

Answer:

I got 984 chips per box. (I could be wrong)*

Step-by-step explanation:

My very un-detailed explanation: So you know that there are 41 machines in this potato chip factory and each machine can produce 72 chips every minute. And if this is enough to fill 3 shipping boxes, then the steps to solve this problem is as follows....

1. 41x72=2954 I did this to find the total number of chips that all of the 41 machines make every minute.

2. 2954/3=984 I did this because we know that "2954" chips is the total amount of chips in 3 boxes so to find the amount of chips in each box, we would divide the total number of chips by 3.

Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 years.

Answers

Answer:

Debra needs to buy 32 bottles of a quarter of fertilizer, that will cost her $ 473.28 to fertilize her garden of 1,008 square feet or 112 square yards of area.

Correct statement and question:

Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of fertilizer cost $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden, how many cups of fertilizer did she need? How can you persevere in solving this problem? And what's the answer?

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question properly:

Length of the garden = 12 yards

Width of the garden = 9 1/3 = 9.33 yards

Cost of a bottle of fertilizer = $ 14.79

Ratio of fertilizer : water for the garden = 1/8 cup for each square foot

2. How many cups of fertilizer did she need?

For answering the question, we need to know the area of the garden and convert it to square feet, this way:

Area = Length of the garden * width of the garden

Area = 12 * 9.33 = 111.96 square yards, that we will round to 112

Let's recall that 1 square yard = 9 square feet

Area = 112 * 9 = 1,008 square feet

Now, we can calculate the cups of fertilizer needed:

Cups of fertilizer = 1,008/8 = 126

Finally, for calculating how many bottles of fertilizer does Debra need to buy, let's assume that each bottle has a quart because that information wasn't given to us.

Let's recall that 1 cup = 1/4 quart

126 cups = 32 quarts ⇒ 32 bottles

Cost of 32 bottles of fertilizer = 32 * 14.79

Cost of fertilizer = $ 473.28

Final answer:

The subject of this question is Mathematics.

Explanation:

The subject of this question is Mathematics because it involves measuring the dimensions of a rectangular vegetable garden.

What kind of angle is shown in the image below​

Answers

Answer:

Your answer is C Straight angle

Step-by-step explanation:

Answer is C.

It is a straight angle and it lies at 180 degrees

Show whether the point (3,5) satisfies the inequality
y> 2x -4.
Answer with supporting work:

Answers

Answer:

true

Step-by-step explanation:

2*3=6-4=2 5>2 yeaaaaaa

what is the answer to -2 1/2 +4

Answers

The answer would be 2 1/2

If LO = 15x+19 and QN = 10x+2 find PN

Answers

Answer:

[tex]PN=64\ units[/tex]

Step-by-step explanation:

The complete question is

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

[tex]QN=\frac{1}{2}LO[/tex]

substitute the given values

[tex]10x+2=\frac{1}{2}(15x+19)[/tex]

solve for x

[tex]20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3[/tex]

Find the length of PN

Remember that

[tex]PN=LO[/tex] ----> diagonals of rectangle are congruent

[tex]LO=15x+19[/tex]

substitute the value of x

[tex]LO=15(3)+19=64\ units[/tex]

therefore

[tex]PN=64\ units[/tex]

x=—2; x+3y=4 what is y’s value

Answers

Answer:

x = -2

x+3y = 4

This is the substitution method. You need to plug the -2 in x's place to get y.

-2+ 3y = 4

3y = 4+2

3y = 6

y= 6/3

y= 2

Find the coordinates of the midpoint MM of ST. Then find the distance between points SS and TT. Round the distance to the nearest tenth. S(−2, 4) and T(3, 9)

Answers

The midpoint is [tex](\frac{1}{2}, \frac{13}{2})[/tex]

The distance between points S and T is 7.1 units

Solution:

Given points are S(−2, 4) and T(3, 9)

Find the coordinates of the midpoint of ST

The midpoint is given as:

[tex]m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

Here in this sum,

[tex](x_1, y_1) = (-2, 4)\\\\(x_2, y_2) = (3, 9)[/tex]

Substituting the values, we get

[tex]m(x, y)=\left(\frac{-2+3}{2}, \frac{4+9}{2}\right)\\\\m(x, y)=\left(\frac{1}{2}, \frac{13}{2})[/tex]

Thus the midpoint is [tex](\frac{1}{2}, \frac{13}{2})[/tex]

Find the distance between points

The distance is given by formula:

[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]

Here in this sum,

[tex](x_1, y_1) = (-2, 4)\\\\(x_2, y_2) = (3, 9)[/tex]

Substituting the values, we get

[tex]\begin{aligned}&d=\sqrt{(3-(-2))^{2}+(9-4)^{2}}\\\\&d=\sqrt{5^{2}+5^{2}}\\\\&d=\sqrt{25+25}\\\\&d=\sqrt{50}=7.071 \approx 7.1\end{aligned}[/tex]

Thus the distance between points S and T is 7.1 units

The coordinates of the midpoint [tex]\( M \) are \( (0.5, 6.5) \),[/tex] and the distance between points S and T approximately 7.0 units.

To find the coordinates of the midpoint M of the line segment ST, we use the midpoint formula:

[tex]\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \][/tex]

 Given the coordinates of [tex]\( S \) and \( T \) are \( S(-2, 4) \) and \( T(3, 9) \)[/tex] respectively, we substitute these values into the formula:

[tex]\[ M = \left( \frac{-2 + 3}{2}, \frac{4 + 9}{2} \right) \][/tex]

[tex]\[ M = \left( \frac{1}{2}, \frac{13}{2} \right) \][/tex]

[tex]\[ M = (0.5, 6.5) \][/tex]

Now, to find the distance between points S and T,  we use the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

Substituting the coordinates of S and T into the formula:

[tex]\[ d = \sqrt{(3 - (-2))^2 + (9 - 4)^2} \][/tex]

[tex]\[ d \approx 5 \times 1.4 \][/tex]

[tex]\[ d \approx 7 \][/tex]

The coordinates of the midpoint  [tex]\( M \) are \( (0.5, 6.5) \),[/tex] and the distance between points S and T  is approximately 7.0 units.

Help on this question plz

Answers

Answer:it is function and it is 25

Step-by-step explanation:it is 25 in the y inputs because every time the x input increases by one the y input increases by 25

it is a function because each one of the “x” imputes has there own “y” input and if they all have there own that makes it a function. but it there were 2 “y” inputs pointing to one “x” input that would make it a non function

What is the answer to -1/2(1/4x-3/8)

Answers

Here's the answer your welcome

If it takes a whole can of tuna to make 16 servings of tuna salad, what percent of the can will it take to make 5 servings of tuna salad?

Answers

Answer:

31.25%

Step-by-step explanation:

Percent of can = 5/16 × 100%

= 31.25%

The 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

If it takes a whole can of tuna to make 16 servings of tuna salad,

Percent of can = 5/16×100

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Percent of can = 31.25 %

Thus, the 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

What is the slope of the line that contains the points (-2,5) and (6-3)

Answers

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

While at the beach Daniel buys lunch for his family from a food stand he purchased one hotdog for $2.50 and three hamburgers if you spent $13 total right and solve an equation to find H the amount of each hamburgers cost

Answers

The cost of each hamburger is $ 3.5

Solution:

Given that, Daniel purchased one hotdog for $2.50 and three hamburgers

He spent $ 13 in total

Let "H" be the cost of each hamburger

From given,

one hotdog for $2.50 + three hamburgers each for "H" = $ 13

Thus we get,

[tex]1 \times 2.50 + 3 \times H = 13\\\\2.50 + 3H = 13\\\\\text{Solve the above equation for H}\\\\3H = 13 - 2.50\\\\3H = 10.5\\\\\text{Divide both sides of equation by 3}\\\\H = 3.5[/tex]

Thus cost of each hamburger is $ 3.5

Final answer:

Daniel buys one hotdog for $2.50 and three hamburgers, spending a total of $13. We find the cost of each hamburger by the equation $2.50 + 3H = $13, solve for H, and determine that each hamburger costs $3.50.

Explanation:

The problem involves finding the cost of each hamburger that Daniel buys, given that he purchases one hotdog for $2.50 and three hamburgers for a total of $13. To solve this equation, we let H represent the amount each hamburger costs. The total cost of the hotdog and hamburgers together is $13. Therefore, the equation we can write is 1 hotdog + 3 hamburgers = total cost, or $2.50 + 3H = $13. To find H, we subtract the cost of the hotdog from the total cost, which gives us 3H = $13 - $2.50, resulting in 3H = $10.50. Finally, we divide both sides by 3 to find the cost of one hamburger: H = $10.50 / 3, which is H = $3.50. Therefore, each hamburger costs $3.50.

how to turn -2=-5x-y into slope intercept form

Answers

Answer:

y= -5x+2

Step-by-step explanation:

y = mx+b

U use your calculator on that that’s how u find the answer y=-5*2

Add. Write your answer in scientific notation.
(2.8 x 10^9) + (3 x 10^8)​

Answers

Answer:

3.1 x 10^9

Step-by-step explanation:

(2.8 x 10^9) + (3 x 10^8)​ = (28 x 10^8) + (3 x 10^8)​

                                       = (28+3) x 10^8

                                       = 31 x 10^8

                                       = 3.1 X 10^9

What is the sum of 9/10+3/8 ​?

A. 3/20

B. 21/40

C. 1 9/40

D. 1 11/40

Answers

this would be D, 1 11/40. 40 is the lowest number 8 and 10 have in common.

11 - 3x is greater than or equal to 32

Answers

Answer:

x ≤ -7

Step-by-step explanation:

Symbolically, we have 11 - 3x ≥ 32

and we can solve this for x as follows:

Add 3x to both sides.  We get:

11 - 3x + 3x ≥ 32 + 3x

Then 11 ≥ 32 + 3x

Reversing the order, we get  3x + 32 ≤ 11

Subtracting 32 from both sides, we get:

3x ≤ -21

Finally, dividing both sides by 3 yields:

x ≤ -7

what is 1/3 x 12 help me quick

Answers

Answer:

12/3 = 4

Step-by-step explanation:

The answer to 1/3 x 12 is 4

give me the answer to 588 multiplied by 48

Answers

Answer:

28,224

Step-by-step explanation:

use photomath it will help u with math problems.

Answer:28224

Step-by-step explanation:

Solve the equation. Simplify your answer if possible.
(1/8)t-(5/2)=1​

Answers

Answer:

The answer is, t = 28.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

8

t+

−5

2

=1

Step 2: Add 5/2 to both sides.

1

8

t+

−5

2

+

5

2

=1+

5

2

1

8

t=

7

2

Step 3: Multiply both sides by 8.

8*(

1

8

t)=8*(

7

2

)

t=28

Look at the image and answer You ONLY GET POINTS FOR ANSWERING CORRECTLY ​

Answers

Answer:

the measure of xy is 9

what is the answer to -x times x

Answers

Answer:

-x^2

Step-by-step explanation:

Answer:

-x^2

Step-by-step explanation:

2726 divided by 36 = ?

Answers

Answer:

75.7(repeating)

Step-by-step explanation:

A pasta factory made 7.8 pounds of pasta in 8 minutes. How much pasta, on average, did the factory make each minute?

Answers

Answer:

0.975 pasta pounds per minutes

Step-by-step explanation:

8 (X amount of pasta) = 7.8 Pounds

x= 7.8/8

x = 0.975

7(3x -4) + 64 when x =6

Answers

Answer:

see attached picture shown

Solve the system of equations by the addition method.
x- y=-9
x+y=-5

Answers

Answer:

x=-7, y=2. (-7, 2).

Step-by-step explanation:

x-y=-9

x+y=-5

-----------

2x=-14

x=-14/2

x=-7

-7-y=-9

y=-7-(-9)

y=-7+9

y=2

5. If APQR = ASTU.
Find the measure of angle U.

Answers

Answer:

∠ U = 117°

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

∠ T = ∠ Q = 27°

The sum of the 3 angles in a triangle = 180°, thus

∠ U = 180° - (∠ s + ∠ T) = 180° - (36 + 27)° = 180° - 63° = 117°

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