Answer:
The answer is B.
Step-by-step explanation:
12 ≤ r + 22
r + 22 ≥ 12
r + 22 − 22 ≥ 12 − 22
r ≥ −10
I hope this helps you :D
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:

The area of the triangle DEF is 10.
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:

Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:

Answer: 6
<u>Step-by-step explanation:</u>
NOTE: log₆6 = 1
log₆6 + log₆(x - 5) = log₆6
1 + log₆(x - 5) = 1
log₆(x - 5) = 0
x - 5 = 6⁰
x - 5 = 1
x = 6
Answer:
{-9,-3,3}
Step-by-step explanation:
We can get the range by substituting each value of x in the given equation.
For x=1 :
y=6(-1)-3=-6-3=-9
For x=0
y=6(0)-3=0-3=-3
For x=1
y=6(1)-3=3
The range is {-9,-3,3}.