Answer:
He failed to flip the inequality
y ≤-1/2x-4
Step-by-step explanation:
-x-2y ≥8
Add x to each side
-x+x-2y ≥x+8
-2y ≥x+8
Divide by -2. Remember to flip the inequality
-2y/-2 ≤-1/2 x +8/-2
y ≤-1/2x-4
Shawn shaded the wrong side of the line.
Y is less than or equal to . He failed to flip the inequality
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.
Answer:
583 rounded to the nearest whole number
Step-by-step explanation:
other wise 583.3333333333333333333333333333
Answer:

Step-by-step explanation:
First, make them on one side of the formula in the form of
which is 
Next, insert the corresponding number in the quadratic formula,
, and the answer can be calculated.
Answer:
=13.73 ft²
Step-by-step explanation:
The diameter of the largest possible circle that can be cut out of a square is equal to the length of the side of the square.
Therefore the diameter of the circle cut from a square of side 8ft =8ft
r=4ft
Area of the remaining board= Area of square- area of circle
=side²-πr²
=8²-π×4²
=64-16π
=13.73 ft²