<h3>
Answer: MN = 7</h3>
Explanation:
LM + MN = LN by the segment addition postulate. This says we can break up a segment into smaller pieces, and have those pieces add back up to the original length.
Plug LM = 5 and LN = 12 into the equation and isolate MN to get
LM + MN = LN
5 + MN = 12
MN = 12-5
MN = 7
See the diagram below.
Answer:
Step-by-step explanation:
1.Distribute
12x - 66 + 15 =21
2.Add the numbers
12x-51=21
3.Add 51 to both sides of the equation
12x -51 +51 = 21+51
4.Simplify
12x=72
5. Divide both sides of the equation by the same term
12x/12 = 72/12
6. Divide the numbers
x=6
And you have your answer x=6
Answer: y = - 6x + 2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
4y + 24x = 32
Rearranging it so that it will take the slope intercept form, it becomes
4y = - 24x + 32
Dividing through by 4, it becomes
y = - 6x + 8
Comparing with the slope intercept form, slope = - 6
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (1,-4) is - 6
To determine the intercept, we would substitute m = - 6, x = 1 and y = -4 into y = mx + c. It becomes
- 4 = - 6 × 1 + c = - 6 + c
c = - 4 + 6 = 2
The equation becomes
y = - 6x + 2
