Answer:
The x -coordinate(s) of the point(s) of intersection of these two polynomials are 
The sum of these x -coordinates is 
Step-by-step explanation:
The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).
Thus, 
and we solve for x
Using Zero Factor Theorem: = 0 if and only if = 0 or = 0
The solutions are:
The sum of these x -coordinates is
We can check our work with the graph of the two polynomials.
Answer:
w = 9 ft
l = 13 ft
Step-by-step explanation:
2w + 2(w+4) = 44
simplify:
4w + 8 = 44
4w = 36
w = 9 ft
l = 13 ft
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((3•(x2))•(y4))3)
4•——————————————————
((2x3•(y5))4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> ((3x2 • (y4))3)
4 • ———————————————
24x12y20
</span><span> Step 3 :</span><span> 33x6y12
Simplify ————————
24x12y20
</span></span>Dividing exponential expressions :
<span> 3.1 </span> <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>
Dividing exponential expressions :
<span> 3.2 </span> <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>
<span>Equation at the end of step 3 :</span><span> 27
4 • ——————
16x6y8
</span><span>Step 4 :</span>Final result :<span> 27
—————
4x6y<span>8</span></span>
6. 64 hours so about 7 hours if you need to round up
hope this helps
please thank me
