Answer:
v = 189 ft³
Step-by-step explanation:
v = lwh
v = 3 * 7 * 9
v = 189 ft³
Y=1/2x-4
Perpendicular means it is opposite and the reciprocal. 1/2(4) = 2-4 equals -2.
(4,-2)
The volume of each individual brick is 72 cubic inches.
<h3>
How to get the volume of each brick?</h3>
The volume of a rectangular prism of height H, width W, and length L is given by:
V = L*H*W
In this case we have:
- L = 8in
- W = 4in
- H = 2.25 in
Then, replacing these in the volume equation, we get:
V = (8 in)*(4 in)*(2.25 in) = 72in³
So the correct option is the second one.
If you want to learn more about volume:
brainly.com/question/1972490
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Answer:
B: (x - 4)² = 44
Step-by-step explanation:
Start with x^2 - 8x - 10 = 18.
Simplify the constants by adding 10 to both sides: x^2 - 8x - 10 + 10 = 18 + 10.
Then x^2 - 8x = 28.
Now identify the coefficient of x. It is -8.
Take half of this, obtaining -4.
Square this result, obtaining 16.
Add 16, and then subtract 16, to x^2 - 8x:
x^2 - 8x + 16 - 16 = 28.
Add 16 to both sides:
x^2 - 8x + 16 = 28 + 16 = 44
Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:
(x - 4)² = 44. This is in the form (x - p)² = 44, and matches Answer B.
Note: Please use " ^ " to indicate exponentiation: (x - 4)^2 = 44
Step-by-step explanation:
We are given a set of points (0,3), (4,2), (9,7) and (10,-1) representing a function.
It is required to graph the function and its inverse.
As we know that, the inverse of a function is reflected by y=x line on the graph.
So, in order to find the inverse we have to replace the co-ordinate (x,y) by (y,x).
Then the points (3,0), (2,4), (7,9) and (-1,10) represents the inverse of the function.
So, after plotting all the points of the function and its inverse, we get the following graph, where figure 1 is of the function and figure 2 is of its inverse.
