Answer:
Option C.
Step-by-step explanation:
Hey there!
The points are; (-4,-4) and (-4,-10).
<u>Use </u><u>distance</u><u> formula</u><u>.</u>

~ Put all values.

~ Simplify it.


Therefore, distance between the points is 6 units.
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
Dimensions of the rug = 13 ft × 26 ft
Step-by-step explanation:
Dimensions of the room = 21 ft × 34 ft
Area of the room = 21 × 34 = 714 ft²
Cynthia wants to leave a uniform strip of floor around the rug.
Let the width of the rug = x ft
Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft
Area of the rug = (21 - 2x)×(34 - 2x) square feet
338 = (21 - 2x)×(34 - 2x)
338 = 714 - 68x - 42x + 4x²
4x² - 110x + 714 - 338 = 0
4x² - 110x + 376 = 0
2x² - 55x + 188 = 0
2x² - 47x - 8x + 188 = 0
x(2x - 47) - 8(x - 47) = 0
(x - 4)(2x - 47) = 0
x = 4, 
For x = 23.5 area of the rug will be negative.
Therefore, x = 4 ft will be the width of the rug.
Dimensions of the rug will be 13 ft × 26 ft.
Answer:
y=-4x-6
Step-by-step explanation:
y=mx+b, where m is the slope and b is the y-intercept
Slope is given as -4, so:
y=-4x+b
To find b, sub in the point we were given (-2,2):
2=-4(-2)+b
2=8+b
b=2-8=-6
So we have: y=-4x-6