Answer:
x = - 10
Step-by-step explanation:
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.
Answer:
c
Step-by-step explanation:
Answer: All Real Number
Step-by-step explanation:
This is a system of equation, and generally, there are three ways to solve:
- elimination
- substitution
- augmented matrix
Here, we are going to use elimination
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Given
-2x-y=1
-6x=3y+3
Put them in the same order
-2x-y=1
-6x-3y=3
Multiply 3 on both sides for the first equation
-6x-3y=3
-6x-3y=3
We subtract the first equation from the second equation
0=0
The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.
Hope this helps!! :)
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