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3 years ago

If y varies inversely as the square root of x, what is the constant of proportionality if

Mathematics

1 answer:

erastova [34]3 years ago

3 0

Answer:

y=16+4x

Step-by-step explanation:

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

garik1379 [7]

Y=9.25 because 5x0.3=1.5 you move constents to the right hand side and it becomes -1.5 then you do the rest and the answers is 9.25

8 0

3 years ago

Read 2 more answers

Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

raketka [301]

I hope this helps you

Area=length.width

343=l.w

7.7.7=l.w

l=49

w=7

Perimeter=2 (49+7)

Perimeter=2.56

Perimeter=112

3 0

3 years ago

Solve for x. Need help, please.

dlinn [17]

x=9

hope this helps you. :)

5 0

3 years ago

What is x in 2/3(x-6)=6

ollegr [7]

Answer:

Lets work through it.

1. Distribute values:

2/3x-4=6

2. Move variables to one side

2/3x=10

3.Divide by 2/3 or multiply by 3/2

x=10*1.5

4. Answer=1.5

3 0

3 years ago

Read 2 more answers