Answer:
The coordinates of the midpoint of the segment are (-5.5,0,-8)
Step-by-step explanation:
In this question, we are tasked with calculating the midpoint of the segment PQ.
To calculate this, we employ the use of a mathematical formula as follows;
The coordinate of the midpoint are = {(x1+x2)/2, (y1+y2)/2 , (z1+ z2)/2}
Thus we have;
{(-7-4)/2, (3-3)/2 , (-7-9)/2} = (-11/2, 0/2, -16/2)
= (-5.5,0,-8)
Use Desmos helps with graphing Hope that helps.
3x*5x*8x=960
x^3=960/120
x= cubrt(8)=2
sides then are 6;10;16
hope this helps
Answer:
The value of y = 30 when x = 5
Step-by-step explanation:
We know that when 'y' varies directly proportional to 'x', we get the equation
y ∝ x
y = kx
k = y/x
where k is called the 'constant of direct variation'.
We are given
y = 12 when x = 2
so substituting y = 12 and x = 2 in the equation
k = y/x
k = 12/2
k = 6
Thus, the value of k = 6
We have to determine the value of y when x = 5
so substitute x = 5 and k = 6 in the equation
y = kx
y = 6(5)
y = 30
Therefore, the value of y = 30 when x = 5
A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink