<u>Answer:</u>
The coordinates of endpoint V is (7,-27)
<u>Solution:</u>
Given that the midpoint of line segment UV is (5,-11) And U is (3,5).
To find the coordinates of V.
The formula for mid-point of a line segment is as follows,
Midpoint of UV is
, 
As per the formula,
=5,
=-11
Here 
Substituting the value of
we get,
=5



Substituting the value of
we get,
=-11



So, the coordinates of V is (7,-27)
F(x) = 3x + 1
let f(x) = y
y = 3x + 1
y - 1 = 3x
3x = y - 1
x = (y - 1)/3
From y = f(x), x = f⁻¹(y)
<span>x = (y - 1)/3
</span>
f⁻¹(y) = (y - 1)/3
f⁻¹(7) = <span>(7 - 1)/3 = 6/3 = 2
</span>f⁻¹(7)<span> = 2</span>
The probabilities of knocking down zero, one, and two pins are

and

, respectively. The total probability of knocking down at most two is thus

, or

.
Answer:
≈
Step-by-step explanation:
You need to find the value of the variable "x".
To solve for "x" you need to apply the following property of logarithms:

Apply logarithm on both sides of the equation:

Now, applying the property mentioned before, you can rewrite the equation in this form:

Finally, you can apply the Division property of equality, which states that:

Therefore, you need to divide both sides of the equation by
. Finally, you get:

≈
Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.
Step-by-step explanation:
i hope this helps