Answer:
x^2-6x+7
Step-by-step explanation:
You can use synthetic division since you are dividing by a linear factor with leading coefficient 1. (You can also do synthetic division when dividing by a linear factor whose leading coefficient is not 1 but it is a bit trickier.)
So since we are dividing by x-2, 2 goes on the outside.
(If we were dividing by x+2, -2 would go on the outside.)
Now the thing that goes on top inside is the dividend, the numerator which is 1x^3-8x^2+19x-14. If you were missing any terms you would have to place a zero but we aren't. All exponents between 3 and 0 (inclusive meaning to include the 3 and the constant term) on variable x is accounted for.
2| 1 -8 19 -14
| 2 -12 14
-----------------------------
1 -6 7 0
So the remainder is 0 and the quotient is x^2-6x+7.
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. Now, in order to show that circle A is similar to circle B, we will have to dilate circle A by a scale factor of 4. We can use transformations like dilation and translation to make two circles similar.
Given Information:
For circle A,
Center, C1(x, y) = (6, 7)
Radius, r1 = 4
For circle B,
Center, C2(x, y) = (2, 4)
Radius, r2 = 16
Showing the Two Circles Similar
Now, to make circles A and B similar, we will have to make their centers coincide. It can be done by following the steps listed below:
- First, translate circle A using the rule (x + 4, y + 3).
- Then, rotate circle A by 45° about the center.
- In the third step, dilate circle A by a scale factor of 4 (r2/r1).
- Finally, Reflect circle A about the origin to make it similar to circle B
Hence, we can now see that circle A is similar to circle B.
Learn more about a circle here:
brainly.com/question/11833983
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1 Subtract <span>11</span> from both sides
<span>y-1={3}^{x}<span>y−1=<span>3<span><span>x</span><span></span></span></span></span></span>
2 Use Definition of Common Logarithm: <span>{b}^{a}=x<span><span>b<span><span>a</span><span></span></span></span>=x</span></span> if and only if <span>log_b(x)=a<span>lo<span>g<span><span>b</span><span></span></span></span>(x)=a</span></span>
<span>\log_{3}{(y-1)}=x<span><span><span>log</span><span><span>3</span><span></span></span></span><span>(y−1)</span>=x</span></span>
3 Switch sides
<span><span>x=\log_{3}{(y-1)}<span>x=<span><span>log</span><span><span>3</span><span></span></span></span><span>(y−1)
HOPE THIS HELPS!!! will it?
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Answer:
C.
Step-by-step explanation:
