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3 years ago

Which equation represents a proportional relationship that has a constant of proportionality equal to –10?

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

y = - 10x

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportionality

y = - 10x ← is the only equation in this form

Thus the equation is y = - 10x with k = - 10

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25 x (5 - 2) ➗ 5 - 12

joja [24]

Answer: 3

Step-by-step explanation:

25 x (5 - 2) ➗ 5 - 12

Applying the rule of BODMAS

- Solve task in bracket first

25 x (5 - 2) ➗ 5 - 12

= 25 x (3) ➗ 5 - 12

= 75 ➗ 5 - 12

- Solve task of division next

75 ➗ 5 - 12

= 15 - 12

= 3

Thus, the answer is 3

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2 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!<br><br> Solve for x.

m_a_m_a [10]

also the last one your correct

7 0

2 years ago

The area of rectangle ABCD is 72 square inches. A diagonal of rectangle ABCD is 12 inches and the diagonal of rectangle EFGH is

luda_lava [24]

Answer:

The area of rectangle EFGH is $242\ in^{2}$

Step-by-step explanation:

For this problem I assume that rectangle ABCD and rectangle EFGH are similar

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Let

z ------> the scale factor

The scale factor is the ratio between the diagonals of rectangles

$z=\frac{22}{12}=\frac{11}{6}$

step 2

Find the area of rectangle EFGH

we know that

If two figures are similar, then the ratio of its areas is the scale factor squared

Let

z------> the scale factor

x -----> area of rectangle EFGH

y ----> area of rectangle ABCD

$z^{2}=\frac{x}{y}$

we have

$z=\frac{11}{6}$

$y=72\ in^{2}$

substitute and solve for x

$(\frac{11}{6})^{2}=\frac{x}{72}$

$\frac{121}{36}=\frac{x}{72}$

$x=\frac{121}{36}(72)$

$x=242\ in^{2}$

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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hjlf

Answer:

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Step-by-step explanation:

count the amount of each #

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