Answer:
Step-by-step explanation:
Choose some values of x to plot. I usually start with zero:
5×0 + 5 = 5
Plot the point (0,5).
Then use x=-1, because it is the x- intercept:
5×(-1) + 5 = 0
Plot the point (-1,0).
Draw the line through both points.
The surface area of the solid formed is approximately, 598.3 in².
<h3>What is the Surface Area of a Right Triangular Prism?</h3>
Surface area of the solid is the area covered by the solid all round.
The given parameters are:
- Height of the prism (L) = 1 5/6 = 1.83 in.
- Side of base (s1) = 10 in.
- Side of base (s2) = 10 in.
- Side of base (s3) = 8 2/3 = 8.67 in.
- base (b) = 10
- Height (h) = 8.67 in.
Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²
Learn more about surface area of right triangular prism on:
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Answer:
Option 4: x^2+y^2 = 52
Step-by-step explanation:
Given
Centre at origin
Point on circle = (-4, -6)
The distance between origin and point on circle will be the radius of the circle
So,
As the center is at origin the standard equation will be:
Putting the value of r
Hence, last option i.e. Option 4 is correct ..
Answer: +42x
Step-by-step explanation:
The student only multiplied each term individually.
He should have (7x+3)² = (7x+3)(7x+3)
Which is 49x²+42x+9
Therefore the error is (42x) or the failure to apply the law of multiplication of variables in a bracket.
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
