Answer:
A. ![25x² - 64](https://tex.z-dn.net/?f=%2025x%C2%B2%20-%2064%20)
B. ![(5x + 8)(5x - 8)](https://tex.z-dn.net/?f=%20%285x%20%2B%208%29%285x%20-%208%29%20)
Step-by-step explanation:
A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares
= (5x*5x) - 4(4*4)
Area of shaded region = ![25x^2 - 64](https://tex.z-dn.net/?f=%2025x%5E2%20-%2064%20)
B. The expression,
, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.
Thus, ![a^2 - b^2 = (a + b)(a - b)](https://tex.z-dn.net/?f=%20a%5E2%20-%20b%5E2%20%3D%20%28a%20%2B%20b%29%28a%20-%20b%29%20)
Therefore, the expression of the are of the shaded region can be expressed in factored form as:
![25x^2 - 64 = (5x + 8)(5x - 8)](https://tex.z-dn.net/?f=%2025x%5E2%20-%2064%20%3D%20%285x%20%2B%208%29%285x%20-%208%29%20)
Answer:
Each student needs to raise $225 each to reach their goal
Answer:
y>5/3-3
Step-by-step explanation:
the two points graphed are (0,-3) and (3,-2)
what you're trying to find is the inequality between y and the slope, so first you need to find the slope
the formula for finding the slope is (y2-y1)/(x2-x1)
substitute your two points for your formula:
-2-3=-5
3-0=0
5/3 is your slope
your y intercept is -3 and we know this because it is the location of y when x=0
so your slope is 5/3 and your y intercept is 3, so now you decide howto write the inequality .
the shaded part is above the line and the line is dotted, so how you know to use the > sign
put it all together and you get y>5/3-3