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dmitriy555 [2]
3 years ago
15

DIRECTIONS: Draw a picture to represent each problem. Then, use

Mathematics
1 answer:
victus00 [196]3 years ago
4 0
Pythagorean theorem is: a^2+b^2=c^2

1.  10^2+b^2=17^2
     So 100+b^2=289
     b^2=189
     b=\sqrt{189}
     b=13 3/4
     The dimensions are 10 by 13 3/4
 
2.  5^2+b^2=13^2
     So 25+b^2=169
     b^2=144
     b=12
     The ladder reaches 12 feet off the ground
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3 years ago
Suppose f(x) = x^2 and
SpyIntel [72]

Given:

The two functions are:

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

g(x)=f(kx)            ...(i)

If 0, the function f(x) is horizontally stretched by factor \dfrac{1}{k}.

If k>1, the function f(x) is horizontally compressed by factor \dfrac{1}{k}.

We have,

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

Using these functions, we get

g(x)=f\left(\dfrac{1}{3}x\right)         ...(ii)

On comparing (i) and (ii), we get

k=\dfrac{1}{3}

Since 0, the function f(x) is horizontally stretched by factor \dfrac{1}{\frac{1}{3}}=3.

Hence, the correct option is D.

5 0
2 years ago
Which expression iWhich expression is equivalent to x + 8 + 4x + 2x for all values of x?s equivalent to x + 8 + 4x + 2x for all
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Answer:

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3 years ago
Sandra received 15 twenty dollar bills. She spent 3/5 and saved 2/5 How much did she save
sweet [91]

Answer:

300

Step-by-step explanation:

15 * 20 = 300

she spent 3/5 * 300 = 180

and saved 2/5 * 300 = 120

6 0
3 years ago
There are 5 ways to drive from Town X to Town Y. There are 3 ways to drive from Town Y to Town Z. How many different ways are th
sasho [114]

Answer:

A

Step-by-step explanation:

I took the test

4 0
3 years ago
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