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.
Answer:
The other two angle measures are 23 degrees and 67 degrees
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
----> by complementary angles
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
Find the measure of angle A
therefore
The other two angle measures are 23 degrees and 67 degrees
Answer:
b.) 23° and 67°
Step-by-step explanation:
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
a.) 18° and 39°
b.) 23° and 67°
c.) 43° and 47°
d.) 65° and 25°