<u>ANSWER: </u>
Carlos is building a screen door.The width of the screen is 3 feet.
<u>SOLUTION:
</u>
Given, Carlos is building a screen door. The height of the door is 1 foot more than twice its width.
And height of the screen door is 7 feet high.
Let the width of the screen door be x feet wide.
Now, according to given information,
Height is 1 foot more than the 2 times of width. Hence we can form a equation as,
7 = 1 + 2x
2x = 7 – 1
2x = 6
x = 
= 3
Hence, the width of the screen is 3 feet.
27)
Equation of the existing water pipe's line
a) slope, m = rise / run = Δy / Δx = 3/2
b) y-intercept, b = 3
equation: y = mx + b = (3/2)x + 3
Equation of the new water pipe's line
slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3
point (0,2)
=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe
28)
two parallel lines have the same slope =>
slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3
point (4,5) => y - 5 = (4/3) (x - 4)
=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3
y = (4/3)x - 1/3 <--- equation of the new bike path
Circle Circumference= 2πr
C= 2(3.14)(24)
C= (6.28)(24)
C= 150.72 inches
ANSWER: If we round up, the estimated circumference is 151 inches.
Hope this helps! :)
Um
81^5=3x
3,486,784,401=3x
x=1,162,261,467
Apply the distributive property.<span>6⋅1+6<span>(−5m<span>)
</span></span></span>Multiply <span>66</span> by <span>11</span> to get <span>66</span>.<span><span>6+6<span>(−5m)</span></span><span>6+6<span>(-5m)</span></span></span>Multiply <span><span>−5</span><span>-5</span></span> by <span>66</span> to get <span><span>−30</span><span>-30</span></span>.<span><span>6−30m</span><span>6-30m</span></span>Reorder <span>66</span> and <span><span>−30m</span><span>-30m</span></span>.<span>−30m+<span>6
So your answer is </span></span>−30m+6
