Answer:
x = -10
Step-by-step explanation:
2(x+3) = x-4 --> multiply (x+2) times 2
2x+6 = x - 4 --> subtract x from both sides
x+6 = -4 --> subtract 6 from both sides
x = -10
Answer:
(8,-4)
Step-by-step explanation:
The difference between A and M is 2.5x and -4y
so B would be 5.5+2.5 and 0-4
(8,-4)
Formula for the area of the triangle:
1/2 bh
b = base
h = height
#6.
Area = 36 in²
Base = 18 in
36 = 1/2(18)h
36 = 9h
36 ÷ 9 = h
4 = h
height = 4 in
#7.
Area = 2 ft²
Height = 1 ft
2 = 1/2 b (1)
2 = 1/2 b
2 ÷ 1/2 = b
4 = b
Base = 4 ft
#8.
Area = 42 in²
Base = 12 in
42 = 1/2 (12) h
42 = 6h
42 ÷ 6 = h
7 = h
Height = 7 in
Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.
Since you find the area by multiplying things together, for example x · x = x², the exponent is there.
You do not need to worry about this being in the calculation. This will just be in units such as:
cm²
ft²
in²
m²
Just remember to use these exponents in the units for the areas.
A = lw
44 = 3 2/3 w
w = 44 / (3 2/3)
w = 12
