Answer:
12 inches
Step-by-step explanation:
Let b represent the base
h represents the height
area of the parallelogram = base * height = 216 square inches
From the question'
b = 18 + 3h
Slot in the value of b
216 = (18 + 3h) * h
expand
216 = 18h + 3h^2
subtract 216 from both sides
0 = 18h + 3h^2 - 216
rearrange
3h^2 + 18h - 216 = 0
divide through by 3
h^2 + 6h - 72 = 0
Now, lets solve!
h^2 + 6h - 12h - 72 = 0
h( h + 6 ) - 12(h + 6) = 0
(h - 12) (h + 6) = 0
h - 12 = 0
h = 12
and
h + 6 = 0
h = - 6
Taking the positive value of h
Hence, the height is 12 inches
Lets check
when h = 12 inches
Area of the parallelogram = 18* 12 = 216 square inches .... correct
when h = -6inches
A = 18 * -6 ≠ 216 square inches
So height is 12 inches
Answer:
the paralell slope is -4. The slope intercept equation is -4x-4
Step-by-step explanation:
hope this helps!
The Xs on the plot represent cyclists. So just count the Xs!
There are 10 Xs on the line plot.
The answer is 10.
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Answer:
Given the statement: For a person standing 100 m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.6 degrees.
Let h be the height of the Eiffel tower.
Angle of elevation is,
Distance of boy standing from the center of the base of the Eiffel tower is, 100 m.
Using tangent ratio:
From the given figure as shown;
Solve for h;
Multiply both sides by 100 we have;
or
Simplify:
therefore, the height of the Eiffel tower is, 300m
Answer:529+17x
Step-by-step explanation:
2x2+17x+35x15 4+17x+ 525 529+17x