The difference (subtraction) of a number (x) squared (²) and the number (x) is (=) one less than (- 1) four times (4 ·) the number (x)
x² - x = 4x - 1
The answer to your question is D. I hope this has helped.
Answer is D.) 48π ft²
Given:
3 circular rugs.
radius: 4 ft
Area of a circle = π r²
A = 3.14 * (4ft)²
A = 3.14 * 16ft²
A = 50.24 ft²
Total area of 3 rugs
50.24 ft² * 3 rugs = 150.72 ft²
Equation leaving π.
150.72ft² ÷ 3.14 = 48ft²
D.) 48π ft²
Answer:
x = 3/2 , y = -1
Step-by-step explanation:
I'm assuming that you are being asked to solve the system of equations for x and y.
given:
4x- 2y = 8 ---------------(1)
2x + y =2 -----------------(2)
We can solve this by elimination:
multiple (2) by 2, we get:
2(2x + y) =2(2)
4x + 2y = 4 ------------(3)
(1) + (3) , we get:
(4x- 2y) - (4x + 2y) = 8 + 4
8x = 12 (divide both sides by 8)
x = 12/8
x = 3/2 answer, substitute this into (2)
2(3/2) + y =2
3 + y = 2 (subtract 3 from both sides)
y = 2 - 3
y = -1 answer
Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
_____
You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.