Answer:
0
Step-by-step explanation:
–5(3 – q) + 4 = 5q – 11
-15 +5q + 4 = 5q -11
-11 + 5q = 5q - 11
+5q - 5q = -11 + 11
0=0
Answer: The distace between midpoints of AP and QB is
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ =
QB = 
Substituing:
AP + 2*(
) = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB = 
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:


<u>Midpoint of QB</u>:


The distance is:
d = 
d = 
Answer:
Hello I am an ace! answer: 8
Step-by-step explanation:
Volume for a cube is just length × width × height so you only need to know 1 for a cube because they will all be the same number so 8 is the answer because 8 × 8 × 8 = 512 Hope this helps!
The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
brainly.com/question/4074386
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Answer:
Step-by-step explanation:
m = 5 + 10d
The variable "d" is the independent variable because its value does not depend on another variable. The variable "m" is the dependent variable because its value depends on the value of the variable "d"