Is -2x+3y=6 parallel, perpendicular, or the same line as 2x-3y=9?

Answers

Answer 1

In order to figure this out, you need to get both y's by themselves. Not the most enjoyable thing in the world, but math rarely is. (Make sure to keep them seperate)

3y=2x+6     2x-9=3y
y=(2/3)x+2    y=(2/3)x-3
      Do these have the same slope? (number in front of the x)

If the slope is the same, then they are parallel, if one of them flipped and negative, then they would be perpendicular. That is what perpendicular is.-completely opposite.

Hope this helped. Any questions let me know.

Related Questions

Which equation has solution x = -3?

A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x + 8 = 10
D) 1/2 (2x - 6) = -6

Answers

A) 2x - 7 = -1

Add 7 to both sides of the equation.

2x = 6

x = 3

Choice A is not the answer.

B) 3x + 8 = 1

Subtract 8 from both sides.

3x = -7

Divide both sides by 3.

x = -2.3 repeating

Choice B is not the answer.

C) 1/2x + 8 = 10

1/2x = 2

Divide both sides by 1/2.

x = 4

Choice C is not the answer.

By process of elimination, choice D is the answer.

D) 1/2(2x - 6) = -6

x - 3 = -6

Add 3 to both sides.

x = -3

Let f(x)= x+3 and g(x)= 4x-3. Find (f+g)(3).

Answers

(f + g)(3) = f(3) + g(3).

Find f(3).

f(3) = x + 3

f(3) = 3 + 3

f(3) = 6

Now find g(3).

g(3) = 4x - 3

g(3) = 4(3) - 3

g(3) = 12 - 3

g(3) = 9

We finally add f(3) + g(3).

f(3) + g(3) = 6 + 9

f(3) + g(3) = 15

The answer is 15.

Teddy was having trouble fitting into his clothes due to weight gain. In January he weighed 180 lbs 6 oz. He gain 3lbs 9 oz , 5 lbs 12 oz and 6 lbs 11 oz in the next 3 months how much does teddy weigh now

A) 196 lbs 6 oz
B) 196 lbs 8 oz
C) 194 lbs 6 oz
D) none
E) 194 lbs 8 oz

Answers

he would just be 196 pounds

The distributive property combines_____________and _____________ to make multiplying whole numbers simpler.

Answers

The distributive property combines multiplication and addition.

It uses multiplication to combine the simple numbers with addition.

An example is that if we wanted to multiply 15 and 12, we can multiple 15 and 10 and 15 and 2 and then we add them.

the answer is number and factor

What integer represents the change in balance from Monday to Tuesday?

Answers

-34 is integer represents the change in balance from Monday to Tuesday

The integer represents the change in balance from Monday to Tuesday is -34

What is integer?

Zero, a positive natural number, or a negative integer are all considered integers. The equivalent positive numbers' additive inverses are represented by the negative numbers. The boldface Z or blackboard bold is frequently used to represent the set of all numbers.

Based on the question, there is a change in balance from Monday to Tuesday , then

monday=-21

Tuesday = -55

The change =-55 - (-12)

=-55+12

=-34

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Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?

Answers

It might be helpful to remember that the definitions of R2 and R3 are not geometric at all. R2 is the set of all ordered pairs of real numbers, whereas R3 is the set of all ordered triples of real numbers. W is a subspace fo R3, and so it still consists of elements which are triples, not pairs. The fact that R2 and W can be visualized with the same geometric picture, namely the xy plane, is one way to see in a concrete way the isomorphism which the second poster refered to.

y=-4x-7 in standard form

Answers

Y=-4x-7 in standard form is, y + 4 * x + 7 = 0

What are other names for a trapezoid

Answers

In the UK we call it a trapezium.

It is also a quadrilateral.

Final answer:

The term 'trapezoid' refers to a four-sided figure with at least one pair of parallel sides in American English, while 'trapezium' is the equivalent term in British English.

Explanation:

Other names for a trapezoid include trapezium in British English. The term trapezoid is commonly used in American English to describe a four-sided figure with at least one pair of parallel sides. In contrast, British English refers to the same shape as a trapezium. It is important not to confuse these terms with trapezius, which is a muscle in the human body, or other unrelated terms such as triad or tricarboxylic acid cycle (TCA).

A ski club charges a $48 membership fee, plus $18 to rent ski equipment per day. Which of the following equations can be used to find the total cost of membership at the club, when renting equipment for x days?

Answers

By hypothesis, a ski club charges $48 membership fee plus $18 per day to rent ski equipment. X represents the number of day.

So if someone wants to rent ski equipment for x days, the charges will be 18x dollars. In addition to that, he needs to pay 48 dollars as membership fee. So in total, he needs to pay 48 + 18x.

So the equation y = 48 + 18x represents the total cost of membership at the club when renting equipment for x days.

Hope this helps! :)

The equation for the given situation is y=48+18x.

Given that, a ski club charges a $48 membership fee, plus $18 to rent ski equipment per day.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, equipment is renting for x days.

Let the total cost of membership at the club be y.

Now, y=48+18x

Therefore, the equation for the given situation is y=48+18x.

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Upon decomposition, one sample of magnesium fluoride produced 1.65 kg of magnesium and 2.57 kg of fluorine. a second sample produced 1.32 kg of magnesium. how much fluorine (in grams) did the second sample produce?

Answers

The ratio of mass of magnesium to fluorine will always be the same.
so we have 1.65 / 2.57 = 1.32 / x

x = 2.57 * 1.32 / 1.65 = 2.056 kg Answer

The amount of fluorine (in grams) on second sample is,

⇒ 2062.5 g.

Here,

On Sample one, 1.65 kg Magnesium and 2.57 kg Fluorine.

And, On second sample, 1.37 kg of magnesium and let x kg of fluorine.

We have to find the amount of fluorine (in grams) on second sample.

What is Ratio?

Ratios compare two numbers, usually by dividing them.

Now,

On Sample one, 1.65 kg Magnesium and 2.57 kg Fluorine.

And, On second sample, 1.37 kg of magnesium and let x kg of fluorine.

Hence,

The ratio from sample one,

⇒ 1.65kg / 2.57kg = 0.64

The ratio of second sample,

⇒ 1.3 kg / x kg

Now, Using Law of define properties of ratio, the first and second should have the same ratio.

Hence,

1.3 kg / x kg F = 0.64

x = 2.0315 kg F

x = 2031.2 g F

Therefore, The amount of fluorine (in grams) on second sample is,

⇒ 2062.5 g.

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Translate this sentence into an equation. The difference of Rhonda's height and 16 is 52. Use the variable to represent Rhonda's height.

Answers

Attached a solution and showed work.

Final answer:

The sentence 'The difference of Rhonda's height and 16 is 52' translates into the equation 'h - 16 = 52'. Here, 'h' represents Rhonda's height.

Explanation:

The subject matter of this question falls under Mathematics. Specifically, it deals with basic algebra where you have to translate word problems to an algebraic equation. Remember that the phrase 'the difference of' in math refers to the operation of subtraction. So, when you read 'the difference of Rhonda's height and 16 is 52,' that means Rhonda's height (which we’ll denote as 'h') minus 16 equals 52 (52 comes from the phrase 'is 52' because 'is' usually represents equal '='). Therefore, when this sentence is written in the form of an equation, it will look like: h - 16 = 52.

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The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is 75 cents.
a. Using an arithmetic approach, find the cost of a pen.
b. Let the cost of a pen be dollars. Write an expression for the total cost of four pens and seven mechanical pencils in terms of .
c. Write an equation that could be used to find the cost of a pen.
d. Determine a value for for which the equation you wrote in part (b) is true.

Answers

Answer:

Step-by-step explanation:

4x+7(0.75)=13.25

4x+5.25=13.25

4x=13.25-5.25

4x=8

X=$2 each

John made of a pound of fudge and Mary made of a pound of fudge. Ricky takes the sum of the two amounts of fudge and divides it into three equal portions, planning to keep one portion for himself. How much fudge does Ricky keep?

Answers

2 pounds divided into 3 would be 0.6 repeating (0.6666666666666666667)

How many ternary (0, 1, 2) sequences of length 10 are there without any pair of consecutive digits the same?

Answers

There are 10 spaces then the first space will be (3,1), the second one cannot be the same as the first one so it will have to be (2,1).

So it will come down to 3×2^9

Final answer:

There are 1536 ternary sequences of length 10 with no pair of consecutive digits the same.

Explanation:

The question is asking about how many ternary sequences of length 10 there can be without any pair of consecutive digits being the same. In a sequence of length 10, each digit has 3 possible values (0, 1, 2) but cannot be the same as the digit before it. Therefore, the first digit has 3 choices, and each subsequent digit has 2 choices (since it can't be the same as the previous one). Using the multiplication principle of counting, there would be 3*2^9 = 1536 such sequences.

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The greatest common factor of 18 and a and 20 AB

Answers

Answer:

Step-by-step explanation:

GCF(18, a, 20ab) = 1

18 and a do not necessarily have any factor in common, so their GCF is 1. Adding more terms to the list will not increase the GCF beyond that value.

45 points for first most detailed / accurate answer:

You are planning to make and sell 3 different sizes of cylindrical candles. You buy 1 cubic foot of candle wax for $20 to make 24 candles (8 per 3 sizes).

a. Design the candles what dimensions are each size of candle? (Remember, 3sizes)
b. You want to make a profit of $100. Decide on a price for each size of candle.
c. Did you set the prices so that they are proportional to the volume of each size of candle? Why/Why not?

Answers

a.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.

I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.

With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:

V=pi(r^2)(h)

we then solve the corresponding height per candle. Let us let the value of pi be 3.14.

Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for

r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in

b. each candle should sell for $15.00 each

($20+$100)/8=$15.00

c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes

A 27 oz bottle of a new soda costs $2.25. What is the unit rate, rounded to the nearest tenth of a cent?

Answers

maybe its 2 dollars
you could try that or someone else can do it

Anna wants to make 4 sets of curtains. Each setbrequires 5 1/8 yards of fabric. How much fabric does she need?

Answers

5 1/8 × 4 = 20 1/2 yards of fabric

factor the expression 10x+40

Answers

Final answer:

To factor the expression 10x + 40, we can factor out the greatest common factor (GCF) of 10 from both terms, resulting in 10(x + 4).

Explanation:

To factor the expression 10x + 40, we can first find the common factor for both terms, which is 10. Factoring out 10, we get 10(x + 4). This expression represents the original 10x + 40. In simpler terms, we've taken out the common factor of 10 from both terms, leaving us with 10 multiplied by the quantity (x + 4). This factored form is useful for simplifying expressions or solving equations. Essentially, factoring helps us break down a more complex expression into simpler parts, making it easier to work with and understand in various mathematical contexts.

A fence around a square garden is made up of 4 equal sized pieces that are each 5 1/2 feet long. Matt decided to make the sides 2 1/2 times longer. How much fencing does he need in all?

Answers

Find the perimeter of the original square: P = 4s = 4 * 5.5 ft = 22 ft
Now multiply by 2.5 * 22 ft * 22 = 55 ft
He needs 55 ft of fencing

A box contains 4 bags of sugar,The total mass of all 4 bags is 6 kg. What is the mass of each bag in grams?

Answers

4 bags of sugar have 6kg or 6000 grams.

how many in each box?

well, there are 4 boxes, how many times does 4 go into 6000? 1500.

that many grams in 1 box then.

Answer:

1500 g.

Step-by-step explanation:

So i'll start by converting 6 kg to grams. Which is 6000 g.

There are four bags so i will do 6000 divided by 4 which equals 1500.

So the answer is 1500. each bag weighs 1500 g.

Your welcome hope this was helpful!

Six is less than or equal to the sum of a number n and 15

Answers

9it is 9 because you are asking what plus what will give you 15
And plus you give us an uber to go with 15 and you said 6 so 9+6=15

the solution is[tex]$ n \geq -9 $.[/tex]

Sure, let's break down the problem step by step.

1. The inequality given is[tex]$ 6 \leq n + 15 $.[/tex]

2. To find the value of ( n ), we'll start by isolating ( n ) on one side of the inequality.

[tex]6 &\leq n + 15 \\6 - 15 &\leq n \\-9 &\leq n[/tex]

So, the solution is[tex]$ n \geq -9 $.[/tex]

Now, let's explain the steps and the final answer in more detail.

The inequality[tex]$ 6 \leq n + 15 $[/tex] states that "six is less than or equal to the sum of a number ( n ) and fifteen."

To solve for ( n ), we first subtract 15 from both sides of the inequality to isolate ( n ):

[tex]\[ 6 - 15 \leq n \][/tex]

This simplifies to:

[tex]\[ -9 \leq n \][/tex]

So, the solution to the inequality is[tex]$ n \geq -9 $,[/tex] which means that any number greater than or equal to -9 will satisfy the original inequality [tex]$ 6 \leq n + 15 $.[/tex]

In conclusion, the correct answer is[tex]$ n \geq -9 $[/tex], and this means that any number greater than or equal to -9 makes the statement "six is less than or equal to the sum of that number and fifteen" true.

complete question

Six is less than or equal to the sum of a number n and 15

How many hours between 8:30 am to 5:30 pm

Answers

8:30am To 5:30pm is 9hrs

There are 9 hours between 8:30 am to 5:30 pm

How many hours between 8:30 am to 5:30 pm

From the question, we have the following parameters that can be used in our computation:

Initial time = 8:30 am

Final time = 5:30 pm

using the above as a guide, we have the following:

Number of hours = Final time - Initial time

substitute the known values in the above equation, so, we have the following representation

Number of hours = 5:30 pm - 8:30 am

Evaluate

Number of hours = 9 hours

Hence, there are 9 hours between 8:30 am to 5:30 pm

Answers

To solve this you would multiply 4,500 by .045.
This equals $202.50.
To find his gross pay you add $350 to $202.50 which totals a gross pay of:
$552.50

Hope this helps!

Answer:

gross pay = $552.50

Step-by-step explanation:

Kenneth earns a commission on his total sales = [tex]4\frac{1}{2}[/tex] %

= [tex]\frac{9}{2}[/tex] %

= 4.5%

If his sales are 4500 this week.

His commission would be = 4.5% × 4500

= [tex]\frac{4.5}{100}\times 4500[/tex]

= 0.045 × 4500

= $202.50

His weekly salary is $350

Gross pay = 350 + 202.50 = $552.50

Kenneth's gross pay would be $552.50 this week.

Hayden is 59 inches tall and is standing on top of a ladder that is 2 yards tall. In inches, what is the distance from the top of Hayden's head to the ground?

Answers

131 inches in all i just made sure

One yard is 36 inches, so 36*2=72 and add that to Hayden's height, 72+59=131 inches.

Your answer is 131 inches

this number is 0.02 more than five and five tenths

Answers

not true because .02=2/100 and 5 5/10=55/10 which is bigger than .02.
5 5/10 > 0.02

A hypothesis _____.

A. must be tested

B. is supported by large amounts of data

C. is accepted by the scientific community

B. must be proven true for an experiment to be worthwhile

Answers

the answer is c. bc it doesn't need to be tested

A hypothesis is essentially an "educated guess".
This just means that it doesn't have to be true and doesn't really have to be proven correctly in order to call it an experiment.
So with that info B,C, and D can be crossed out.

The answer is:
A. must be tested

If you make a hypothesis, you usually have to test it to see if you were right.

Write an equation of the line through (-2,-1) having slope 4/13 Give the answer in standared form

Answers

Passes through (-2, -1) & slope=4/13

Standard form : Ax+Bx=C

However, we are going to use slope-intercept form to figure this out.

Slope-intercept form : y=mx+b where m=slope, b=y-intercept.

Simply plug everything in :)

y = 4/13x - 1

*Remember! In Standard Form, x and y are on the same side.

So, we must subtract 4/13x from both sides.

-4/13x + y = -1 ← Standard Form

~Hope I helped!~

In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.

Answers

Pythagorean Triple3 whole numbers that form a right trianglec^2=a^2+b^2Forms a right trianglec^2>a^2+b^2Forms an obtuse trianglec^2<a^2+b^2Forms an acute triangleIsosceles Right Triangle (45-45-90 Triangle)Both legs are congruent, and the length of the hypotenuse is rad2 times the length of a leghypotenuse=rad2 * leg45-45-90 Triangle30-60-90 TriangleThe length of the hypotenuse is twice the length of the shorter leg. The length of the longest leg is rad3 times the length of the shorter leghypotenuse=2 * shorter leg30-60-90 Trianglelonger leg=rad3 * shorter leg30-60-90 Triangle

Answer:

yes

Step-by-step explanation:

The price of an item has risen to $156 today. Yesterday it was $65 . Find the percentage increase.

Answers

that's a BIG increase in price! What cost $65 yesterday is now $156. What was the increase? $156 - $65 = $91.

Next: $91 is what fraction of $65? Divide. Answer: 1.4.

Finally, multiply this last result by 100%: 140% (answer)

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