Step-by-step explanation:
G(x) = 2/3 x - 6 switch x and y around and solve for y.
y = 2/3 x - 6
x = 2/3 y - 6
x + 6 = 2/3 y
3/2 x + 9 = y
<span>4y - 12x = 20
4y = 12x + 20
y = 3x + 5
parallel has same slope = 3
answer
</span><span>A. Y = 3x - 1 </span>
Answer:
1.03
Step-by-step explanation:
To find the volume of a prism, find the area of the base and multiply it by the height.
The base is an octagon. The area is found
. Substitute a = 0.5.

The volume is 1.21*2.5 = 3.025.
However, there are three holes drilled out half way which each have volume 0.06.
The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.
V = π(0.125)²(1.25) = 0.06.
Since there are 3, they equal 3*0.06 = 0.18.
Subtract this from the volume.
1.21 - 0.18 = 1.03
Answer:
40 ft²
Step-by-step explanation:
Let the length of the original rectangle be L and original Breadth be B
it is given that the original area is 5/8 ft²
i.e.
Original Length x Original Breadth = Original Area, or,
LB = 5/8 ft² ------------------(1)
Given that the dilation factor is 8,
Hence,
New Length = 8L and New Breadth = 8B
THerefore,
New Area = 8L x 8B
= 64 LB (from (1) above , we know that LB = 5/8 ft², substitute into expression)
= 64 (5/8)
= 40 ft²
Answer:
A≈345.58cm²
Step-by-step explanation:
Radius= 5cm and the Height= 6cm