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3 years ago

5

What is the relationship between the two constants of proportionality?

1 answer:

DIA [1.3K]3 years ago

6 0

We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.

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The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

3 years ago

Q14: Rent for a 3-bedroom apartment is regularly $936 per month. Apartment management is now offering one month free for a 12-mo

sweet-ann [11.9K]

Answer:

$858

Step-by-step explanation:

You pay for 11 of the 12 months, so the average monthly payment is ...

(11/12)×$936 = $858

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3 years ago

Is 656250 divisible by 10?

Over [174]

Answer:

Yes 656250 is divisible by 10. Answer is 656250.

4 0

3 years ago

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Bob’s Burger Place made 11 burgers with onions and 7 burgers without onions. What is the ratio of the number of burgers without

Anika [276]

Answer:

7:11

Step-by-step explanation:

There is no way to simplify the ratio.

7 0

3 years ago

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Write the ratio: <br> 450<br> to <br> 200<br> as a fraction in lowest terms.

xz_007 [3.2K]

Answer:

The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :

450 : 200 = 9 : 4

Therefore:

450 : 200 = 9 : 4

basically 9/4

Step-by-step explanation:

6 0

3 years ago