<h3>Part A</h3>
<u>Factoring the area:</u>
- 4x² + 20x + 25 =
- (2x)² + 2*2x*5 + 5² =
- (2x + 5)²
<u>The length of the side is:</u>
<h3>Part 2</h3>
<u>Factoring the area:</u>
- 4x² − 9y²=
- (2x)² - (3y)² =
- (2x + 3y)(2x - 3y)
<u>The sides of the rectangle are:</u>
Answer:
y - 3 = -8(x + 7)
Step-by-step explanation:
The equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
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The slope you want is m = -8, which is the slope of the given line.* The given point is (h, k) = (-7, 3), so the equation you're looking for is ...
y - 3 = -8(x -(-7))
The expression inside parentheses can be simplified so you have ...
y - 3 = -8(x + 7)
_____
* The given line is in "slope-intercept" form, which is y = mx + b. Matching this pattern to the given equation, you see that m=-8. Parallel lines have equal slope, so -8 is the slope of the line you're writing the equation for.
2|y+ 3| = 8
|y+3| = 4
y = 1, 7 or -7
hope this helps
Answer:
Pyramid: In fact, the volume of any pyramid is one-third the area of the base times the height. Finding the surface area of a pyramid is done by first finding the area of the base and the area of each lateral face. … Lastly, the surface area of a pyramid is the sum of the area of the base and the lateral area!
Cone: a volume of 4 3 π r 3 \frac{4}{3} \pi r^3 34πr3 and a surface area of 4 π r 2 4 \pi r^2 4πr2.
Sphere: A cone is essentially a pyramid with a circular base. The volume of a pyramid is given by Vpyramid=Abase⋅h3. Since the area of the base of a cone is πr2, the formula for the volume of a cone is Vcone=πr2h3.
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