Answer:
x = 4
Step-by-step explanation:
Firstly we have to distribute: 2x + 4x + 6x -2x - 6 = 34
Collect like terms: 10x - 6 = 34
We have to isolate x to get it's value: Add 6 to both sides
10x = 40
Divide both sided by 10: x = 4
Area of a triangle is half multiplied by the height multiplied by the base.So multiplying the two together and halfing is shown below
Answer:
The flagpole's shadow is 16.875 feet longer than the man's shadow
Step-by-step explanation:
The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;
Height of the shadow=actual height of the flagpole×factor
where;
length of the flagpole's shadow=22.5 feet
actual height of the flagpole=32 feet
factor=f
replacing;
22.5=32×f
32 f=22.5
f=22.5/32
f=0.703125
Using this factor in the expression below;
Length of man's shadow=actual height of man×factor
where;
length of man's shadow=m
actual height of man=8 feet
factor=0.703125
replacing;
length of man's shadow=8×0.703125=5.625 feet
Determine how much longer the flagpole's shadow is as follows;
flagpoles shadow-man's shadow=22.5-5.625=16.875 feet
The flagpole's shadow is 16.875 feet longer than the man's shadow
To get a perpendicular line, your slopes will equal -1 when multiplied...this means if we multiply - 4 x (1/4), we get out slope to use for the next step.
Y - Y1 = M(X - X1) passes through (-2, 7)
Y - 7 = 1/4(X - (-2))
Y - 7 = 1/4(X + 2)
Y - 7 = 1/4X + 1/2
+7 + 7
Y = 1/4X + 7.5
Answer:
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Step-by-step explanation:
