Answer:
Step-by-step explanation:
x + 8 = -x - 6
2x + 8 = -6
2x = -14
x = -7
y = -7 + 8
y = 1
(-7, 1)
6. area of parallelogram is b x h. the base is 3, the height is 2. the height IS NOT 2.2. THAT IS THE SLANT HEIGHT NOT THE HEIGHT
We know that
in a right triangle
Applying the Pythagoras Theorem
c²=a²+b²
in this problem
c=√87 yd
a=√23 yd
b=?
so
b²=c²-a²-----> b²=(√87)²-(√23)²----> b²=87-23----> b²=64----> b=8 yd
the answer is
8 yd
Answer:
32r + 39
Step-by-step explanation:
<u>Step 1: Distribute</u>
4(5 + 8r) + 19
<em>20 + 32r + 19</em>
<em />
<u>Step 2: Combine like terms</u>
<em>32r + 39</em>
<em />
Answer: 32r + 39
Hi there! :)

Find the central angle using a ratio in regards to angle and circumference.
The radius is 27 units, so use the following equation to calculate circumference:
C = 2rπ
Therefore:
C = 2(27)π = 54π
Since we have the total circumference, we can write the following proportion:

Cross multiply:
54πx = 6480π
Divide both sides by 54π to isolate for x:
x = 120°