Answer:
The height of the lamp is 18.33 ft
Step-by-step explanation:
We can think in two triangle rectangles, one with cathetus of:
5.5ft and 6ft (the one formed by the woman ad her shadow)
And another triangle with cathetus equal to:
6ft + 14ft (the distance between the end of the shadow and the lamp)
And the other cathetus is the height of the lamp, H.
As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:
H/(6ft + 14ft) = 5.5ft/6ft
H/(20ft) = 5.5ft/6ft.
H = (5.5ft/6ft)*20ft = 18.33 ft
x - 4y = 4
-3x - 4y = 12
Subtract the first equation from the second
x - 4y = 4
-4x = 12
Divide the second equation by (-4)
x - 4y = 4
x = -3
Subtract the second equation from the first
- 4y = 7
x = -3
Divide the first equation by (-4)
y = -7/4
x = -3
<h3>
So, the solution is x = -3 and y = - 7/4</h3>
4 x 2/4
2/4 can be reduced to 1/2
Now you have 4 x 1/2
Multiply 4 by 1 then divide by 2:
4 x 1 = 4
4/2 = 2
The answer is 2
The answer is (2x + 1)(x - 3)
