Answer:
A. AAS
Step-by-step explanation:
1,132 people came to watch the balloon festival.
The cylinder:
pi x r^2 x h
= pi x 8^2 x 20
then times it by a half
= 2009.6
The prism:
l x w
= 32 x 20
= 640
All up:
2009.6 +640
The shape equals 2649.6 cm sqaured
Using the Slope Equation
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
<span><span>y=<span><span>4x</span>−1</span></span>;<span>y=<span><span>2x</span>−5
</span></span></span><span>Step: Solve <span>y=<span><span>4x</span>−1 </span></span>for y:
</span><span>Step: Substitute <span><span>4x</span>−1 </span>for y in <span><span>y=<span><span>2x</span>−5</span></span>:
</span></span><span>y=<span><span>2x</span>−5
</span></span><span><span><span>4x</span>−1</span>=<span><span>2x</span>−5
</span></span><span><span><span><span><span>4x</span>−1</span>+<span>−<span>2x</span></span></span>=<span><span><span>2x</span>−5</span>+<span>−<span>2x</span></span></span></span>(Add -2x to both sides)
</span><span><span><span>2x</span>−1</span>=<span>−5
</span></span><span><span><span><span><span>2x</span>−1</span>+1</span>=<span><span>−5</span>+1</span></span>(Add 1 to both sides)
</span><span><span>2x</span>=<span>−4
</span></span><span><span><span><span>2x/</span>2</span>=<span><span>−4/</span>2</span></span>(Divide both sides by 2)
</span><span>x=<span>−2
</span></span><span>Step: Substitute<span>−2 </span>for x in <span><span>y=<span><span>4x</span>−1</span></span>:
</span></span><span>y=<span><span>4x</span>−1
</span></span><span>y=<span><span><span>(4)</span><span>(<span>−2</span>)</span></span>−1
</span></span><span><span>y=<span>−9</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>9<span> and </span></span>x</span></span></span>=<span>−<span>2</span></span></span>
