Answer:
0
Step-by-step explanation:

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
The answer will be 65, as the line PQ is parallel to RS so the ratio of TP and PR will be same as the ratio of TQ and QS.
Answer:
B
Step-by-step explanation:
To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)
2x + 3y = -12
2(0) + 3y = -12 (Plug in x=0)
3y = -12 (2*0=0, so you can ignore that part)
y = -4 (Divide both sides by 3)
This narrows down our choices to either A or B.
To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)
2x + 3y = -12
2x + 3(0) = -12 (Plug in y=0)
2x = -12 (3*0=0, so you can ignore that part)
x = -6 (Divide both sides by 2)
If our x intercept is -6 and our y intercept is -4, that makes our answer B.