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2 years ago

A baseball “diamond” is a square with a side length of 90 feet. How far is the throw from

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

7 0

Answer:

127

Step-by-step explanation:

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Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.

lyudmila [28]

4^2 + b^2 = 12^2
16 + b^2 = 144
B^2 = 144-16
B^2 = 128
B= 11.3

7 0

3 years ago

Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

7 0

1 year ago

write an inequality for the problem and determine the constraints on the variables. during ski season, the owner of a ski shop h

marin [14]

Answer:

customers≥50*temp

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

2. <br> Simplify the product using FOIL. (2x – 7)(5x + 5)

Svetllana [295]

Answer: 10x - 25x - 35

Step-by-step explanation:

F 2x times 5x = 10x

O 2x times 5 = 10x

I -7 times 5x = -35x

L -7 times 5 = -35

Hope This Helps :)

3 0

2 years ago

Read 2 more answers

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

aalyn [17]

Answer:

$\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}$

Step-by-step explanation:

$f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x$

8 0

3 years ago

Read 2 more answers