Answer:
(x+5)^2+(y-8)^2=4^2
Step-by-step explanation:
I used a website called desmos.
Length = 13 = (x + 3)
Width = 14 = (x + 4)
x2 + 7x + 12 = area of the rectangle
can be factored into
(x + 3)(x + 4)
Let L = one of the factors (x + 3)
Let W = the other factor (x + 4)
If x = 10 then
(10 + 3) = 13 = L
(10 + 4) = 14 = W
Checking this can be checked a couple of ways
Plug x = 10 into the original equation
x2 + 7x + 12
102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area
Multiplty the factors
L x W = 13 x 14 = 182 = Area
I hope you find this useful if you have any questions please send me a message.
Answer:
24ft is the length of the shadow of the telephone pole
Step-by-step explanation:
Well first what I did was divide 15 by 4 which equaled to 3.75, after that the question said that the telephone pole was now 90 feet tall so I just had to divide 90 by 3.75 and then 24 ft long was the final answer. I hope that helps
The <span>given the piecewise function is :
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![f(x) = \[ \begin{cases} 2x & x \ \textless \ 1 \\ 5 & x=1 \\ x^2 & x\ \textgreater \ 1 \end{cases} \]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5C%5B%20%5Cbegin%7Bcases%7D%20%0A%20%20%20%20%20%202x%20%26%20x%20%5C%20%5Ctextless%20%5C%20%201%20%5C%5C%0A%20%20%20%20%20%205%20%26%20x%3D1%20%5C%5C%0A%20%20%20%20%20%20x%5E2%20%26%20x%5C%20%5Ctextgreater%20%5C%201%20%0A%20%20%20%5Cend%7Bcases%7D%0A%5C%5D)
To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25
To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4
To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4
To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
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So, the statements which are true:<span>

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