Answer:
7.722cm^2
Step-by-step explanation:
Area of the Square: l*w
6*6=36
Square= 36cm^2
Area of the circle= πr^2
3.142*9=28.278
36-28.278=7.722
Multiply the second equation by 3, so 4x-y=6 becomes 12x-3y=18.
x + 3y = -5
+ (12x-3y = 18)
______________
13x = 13
So x = 1
Plug x = 1 into any of these, such as 1 + 3y = -5, which becomes 3y = -6, and then y = -2.
x = 1
y = -2
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √
(
x
₂ − x
₁
)² + (
y
₂ − y
₁
)
²
Substitute the actual values of the points into the distance formula.
√
(
4 − ( − 5
))
² + (
(
−
5
)
−
3
)
²
Simplify:
√
145
The result can be shown in multiple forms.
Exact Form:
√
145
Decimal Form:
12.04159457 … ≈ 12.04
The thing that can’t be together is the -3x
Answer:
133°
Step-by-step explanation:
Let the measure of one angle be x, then the measure of the other angle is
3x - 8
Supplementary angles sum to 180°
Sum the 2 angles and equate to 180
x + 3x - 8 = 180
4x - 8 = 180 ( add 8 to both sides )
4x = 188 ( divide both sides by 4 )
x = 47
The larger angle = 3x - 8 = (3 × 47) - 8 = 141 - 8 = 133°
