Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28
Answer:
y = x + 5
Step-by-step explanation:
Perpendicularity: Slope is the opposite reciprocal. In this case with it being -1 aka -1/1, the slope will be 1 aka 1/1
Find the opposite reciprocal of the slope
m = -1 = -1/1
so,
m⊥ = 1 as the opposite reciprocal is 1/1
2 - Plug the new slope into y = mx + b
y = mx + b
y = 1x + b
y = x + b
3 - Plug the point values in replacing x and y to get alone and solve for the y intercept, b.
y = x + b
-4 = -9 + b
+9 +9
5 = b
4 - Plug into the values into y = mx + b all together
y = mx + b
y = 1x + 5
y = x + 5
Hope this helps :)
Answer:

Step-by-step explanation:
Given


Required
What must be true about y?
To answer this, we first calculate the range as follows;

and

For Minimum, we have:



For Maximum, we have:



The values of y are then bounded by the following:

This gives

Answer:
brainleiset
Step-by-step explanation:
Answer: 2/3x+4=-18
Step-by-step explanation:
2/3(x+6)=-18
do distributive property
2/3*x=2/3x
2/3*6=4
so you get
2/3x+4=-18