Answer:
g(x) is shifted 5 units right and 2 units up from f(x).
Step-by-step explanation:
Answer:
1 rectangle
Step-by-step explanation
Area= lxb
So 7.7 x 11 = 84.7
3 trapezoid
Area =(a+b/2)
Base a=13
Base b = 6
Height = 5
By 2
Answer= 47.5
4 Right angled triangle
Ab/2
Axb
Multiply each legs of the right angle triangle
So 3 1by4 x 4
By 2
Slope m=2
Y-Intercept b=7
Slope intercept equation y=2x+7
The base is 16 inches.
The formula for the area of a triangle is
A = 1/2bh
We know that b = h+5, so we can rewrite this as:
A = 1/2(h+5)(h)
Using the area that we have, we now have:
88 = 1/2(h+5)(h)
We can cancel the 1/2 by multiplying by 2:
88*2 = (1/2)(h+5)(h)*2
176 = (h+5)(h)
Using the distributive property, we have:
176 = h² + 5h
We want quadratic equations to be set equal to 0, so we will subtract 176 from both sides:
176 - 176 = h² + 5h - 176
0 = h² + 5h - 176
Using the quadratic formula:
Since a negative length makes no sense, we know that h=11.
The base is 5 inches longer than the height, so b = 11+5 = 16.