Area of circle = A = πr2 = π × 42 ≈ 50.26548 yard²
<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>
<span>Another answer:
According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)
JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that
x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8)
the final answer is L'(6, -8).</span>
Answer:
Step-by-step explanation:
![(e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================](https://tex.z-dn.net/?f=%28e%5Ex%29%27%3De%5Ex%5C%5C%5C%5C%5Cbigg%5Bf%5Cbigg%28g%28x%29%5Cbigg%29%5Cbigg%5D%27%3Df%27%5Cbigg%28g%28x%29%5Cbigg%29%5Ccdot%20g%27%28x%29%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29%27%3D-%5Cdfrac%7B1%7D%7Bx%5E2%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.
Simplifying the system of equations, we have
The video store has 500 children's movies, 600 westerns and 900 horror movies.
Answer:
Shirt: $45 , Tie: $12
Step-by-step explanation:
Let s be the price of the shirt
Let t be the price of the tie
Given the information from the question,
s + t = 57 - Equation 1
s - t = 33 - Equation 2
We will use substitution method to find the prices.
We will rearranging equation 1.
s = 57 - t
We will substitute s into equation 2.
57 - t - t = 33
57 - 2t = 33
-2t = 33 - 57
-2t = -24
t = -24 / -2
= 12
We now substitute t into Equation 1.
s + 12 = 57
s = 57 - 12
= 45
From here we know, the shirt costs $45 and the tie costs $12
