Answer:
Step-by-step explanation:
<h3>Part A</h3>
- The base is a rectangle hence the parallel cut produces the same shape.
<h3>Part B</h3>
- The cut diagonal to base will produce rectangle as the cross section still contains two pairs of parallel lines
We can form two ratios to help us solve this:
(2x+6):10 = (x+6):8
(2x+6) (x+6)
--------- = --------
10 8
Cross multiply:
8(2x+6) = 10(x+6)
Foil:
16x + 48 = 10x + 60
Move like variables to the same side:
16x - 10x = 60 - 48
6x = 12
x = 2
Line AE = 2x+6
Plug 2 for x into the equation: 2(2) + 6 = 10
Hope this helps, and May the Force Be With You!
-Jabba
Let's simplify step-by-step. <span><span><span>−<span>3<span>(<span><span><span>4x</span>−<span>5y</span></span>+6</span>)</span></span></span>+<span>8x</span></span>−9</span>
<span />Distribute:<span>=<span><span><span><span><span><span><span> (<span>−3</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>−3</span>)</span><span>(<span>−<span>5y</span></span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(6)</span></span></span>+<span>8x</span></span>+</span>−9</span></span><span>=<span><span><span><span><span><span><span> −<span>12x</span></span>+<span>15y</span></span>+</span>−18</span>+<span>8x</span></span>+</span>−9</span></span>
<span><span /></span>Combine Like Terms:<span>= <span><span><span><span><span>−<span>12x</span></span>+<span>15y</span></span>+<span>−18</span></span>+<span>8x</span></span>+<span>−9</span></span></span><span>=<span><span><span> (<span><span>−<span>12x</span></span>+<span>8x</span></span>)</span>+<span>(<span>15y</span>)</span></span>+<span>(<span><span>−18</span>+<span>−9</span></span>)</span></span></span><span>=<span><span><span> −<span>4x</span></span>+<span>15y</span></span>+<span>−27</span></span></span>
<span><span><span /></span></span>Answer <span>=<span><span><span> −<span>4x</span></span>+<span>15y</span></span>−<span>27</span></span></span>
Answer:
the domain of the function = [0,12]
Step-by-step explanation:
Given that:
f(t) = 60 t - 5t²
at time t = 0
f(0) = 60 (0) - 5(0)²
f(0) = 0
the differential of f(t) is:
f(t)' = 60 - 10t
for the maximum height
f'(t) = 0
i,e
60 - 10t = 0
60 = 10t
t = 60/10
t = 6
Now, t = 6,
f(6) = 60(6) - 5(6)²
f(6) = 360 - 180
f(6) = 180
Hence, after 6 seconds, the stone is noticed to have raise to 180 m and 180 m drop after 6 seconds.
Hence, the domain of the function = [0,12]
By using the equation y-y1=m (x-x1) you can plug in your coordinates(2 into y1,-4into x1) and your slope (9/2 in for m) you get your equation y-2=9/2 (x+4) this is the equation of a line that has a slope of 9/22nd and passes through the point (-4,2)