So you need to find the volume for the rectangular prism (1) and the rectangular prism in the center of it (2)
The formula for a rectangular prism is:
V = lwh [Volume = length x width x height]
1.
l = 15
w = 6
h = 6
V = lwh Plug in the numbers
V = (15)(6)(6) = 540
2.
l = 15
w = 4
h = 4
V = lwh
V = (15)(4)(4) = 240
Next you subtract the volumes by each other because the rectangular prism in the center(2) is the hole/empty part of the rectangular prism(1)
V = V(1) - V(2)
V = 540 - 240
V = 300
Answer: Choice B
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Explanation:
When dilating with respect to the origin, any point of the form (x,y) moves to (kx, ky) for some real number k. The k is the scale factor.
Point C is at (-2,2). It moves to C ' (-5,5)
The jump from x = -2 to x = -5 is "times 5/2" since kx = (5/2)*(-2) = -5
The same scale factor is used when going from y = 2 to y = 5.
Both x and y coordinates are multiplied by 5/2 to move from (-2,2) to (-5,5)
Therefore, the dilation rule we use is
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We could have these steps to confirm
The discriminant is b^2-4ac
ax^2+bx+c=0
x^2+11x-10=0
11^2-4(1)(-10)
1. Simplify 11^2 to 121
121-4(1)(-10)
2. Simplify 4*1*-10 to -40
121-(-40)
3. Simplify brackets
121+40
4. Simplify
161
Your discriminant is 161
Answer:
y=7
Step-by-step explanation:
When ever the slope is 0, the line is completely flat. This means that the equation has the same y for every point.
The y on the point given is 7, therefore the answer is y=7.
