Answer:
Height = 14
Base = 8
Step-by-step explanation:
h=6+b
a=(1/2)bh
a=56
56=(1/2)bh
times 2 both sides
112=bh
h=6+b
112=b(6+b)
112=b²+6b
minus 112 both sides
0=b²+6b-112
factor
what 2 numbers multily to get -112 and
add to get 6
-8 and 14
0=(b-8)(b+14)
set to zero
b-8=0
b=8
b+14=0
b=-14
false, measures can't be negative
base=8
h=6+b
h=6+8
h=14
height=14
base=8
Answer: choice D) translation 6 units to the right
The black triangle slides over 6 units to the right to line up perfectly with the blue triangle. In other words, every point on triangle A will slide over 6 units to the right to line up with its corresponding point on triangle A'. Both triangles are congruent (same shape and size).
Answer:x =8.3
Step-by-step explanation:
Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,
AB/DB = BG/BE = AG/DE
AB = 11
BG = 10 + x
Therefore,
11/6 = (x + 10)/10
Cross multiplying, it becomes
6(x + 10) = 11 × 10
6x + 60 = 110
Subtracting 60 from left hand side and the right hand side of the equation, it becomes
6x + 60 - 60 = 110 - 60
6x = 50
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 50/6
x = 8.3 rounded up to the nearest tenth
Expand to get 35x^3+49x^2-20x-28
The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50
Therefore, the average rate of change of the function in the three seconds is -50.
