Answer:
The like-terms equation would be:
10x - 5
Step-by-step explanation:
To answer your question: Rewrite <span>81<span>x2</span></span> as <span><span>(<span>9x</span>)</span>2</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−49</span></span>Rewrite 49 as <span>72</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−<span>72</span></span></span> Both terms are perfect squares, factor using the difference of squares formula, <span><span><span>a2</span><span>−<span>b2</span></span></span>=<span><span>(<span>a+b</span>)</span><span>(<span>a<span>−b</span></span>)</span></span></span> where <span>a=<span>9x</span></span> and <span>b=7</span>.<span><span>(<span><span>9x</span>+7</span>)</span><span>(<span><span>9x</span><span>−7</span></span><span>)</span></span></span>
V = (1/2) area of cross-section times length.
Note: I will use L in place of x to represent the length of the prism.
In short, V = (1/2)*b*h*L.
To find the surface area, use
A = bh + 2Ls + Lb
Volume given to be 15, 510.
Part (a) set up:
15, 510 = (1/2)(60)(11)L
Can you finish? Just solve for L to find your x-value.
Part (b) set up:
To answer part (b), you must find the value of L in part (a).
A = (60)(11) + 2L(61) + L(60)
Understand? Take it from here.
To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)
Answer:
The y axis
Step-by-step explanation:
Perpendicular means for a line to create a 90 degree angle, like it does on the y axis.
Hope this helps!
