Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
Answer:
15%
Step-by-step explanation:
If 10% of the 25% of 8th graders who were male, 15% would be females because 25-10= 15. So, 15% would be my answer.
Answer:
C
Step-by-step explanation:
y = mx + b
Choice C is y = (-1/4)x + 1
m or slope = -1/4
Equation of the circle is (x + 5)² + (y - 5)² = 9
Step-by-step explanation:
- Step 1: Given center is (h, k) = (-5, 5) and radius is 3. Equation of a circle is given by (x - h)² + (y - k)² = r²
Equation is (x - -5)² + (y - 5)² = 3²
⇒ (x + 5)² + (y - 5)² = 9
Answer:
The answer is 1 and 1/4
The second option
Step-by-step explanation:
Hopes this helps