Answer:
(-2, -4)
Step-by-step explanation:
–2x + 2y = -4
3х + Зу = -18
Divide the first equation by 2
–2x/2 + 2y/2 = -4/2
-x +y = -2
Divide the second equation by 3
3х/3 + Зу/3 = -18/3
x + y = -6
Add these equation together
-x +y = -2
x + y = -6
-------------------
0x + 2y = -8
2y = -8
Divide each side by 2
2y/2 = -8/2
y = -4
Now we need x
x+y = -6
x-4 = -6
Add 4 to each side
x-4+4 = -6+4
x = -2
Answer:
Correct answer: Fourth answer As = 73.06 m²
Step-by-step explanation:
Given:
Radius of circle R = 16 m
Angle of circular section θ = π/2
The area of a segment is obtained by subtracting from the area of the circular section the area of an right-angled right triangle.
We calculate the circular section area using the formula:
Acs = R²· θ / 2
We calculate the area of an right-angled right triangle using the formula:
Art = R² / 2
The area of a segment is:
As = Acs - Art = R²· θ / 2 - R² / 2 = R² / 2 ( θ - 1)
As = 16² / 2 · ( π/2 - 1) = 256 / 2 · ( 1.570796 - 1) = 128 · 0.570796 = 73.06 m²
As = 73.06 m²
God is with you!!!
I think the correct answer from the choices listed above is option B. Quadrilateral ABCD must be a rectangle because it is characterized by having <span>opposite sides that are parallel and side AB congruent to side DC which are characteristics of a rectangle.</span>
First of all, you can move the +2x to the other side:
-11 = -26 - 2x
Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
15 = -2x
Then you can divide both sides by 2:
7.5 = -x
Then you can flip the sides and the signs around:
x = -7.5
No, The answer is not -7, it is -7.5
Hope this helps! :)
Answer:
4.7 feet³ of water
Step-by-step explanation:
Diameter of 4 feet
Radius = 2 feet
Height = 0.75 feet
Formula for Volume = 2·
·radius·height
But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us: ·radius·height
·2·0.75 = 4.71 feet³
