Answer:

Step-by-step explanation:
Instead, since the divisor is in the form of
, use what is called Synthetic Division. Remember, in this formula,
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 → 
You start by placing the
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to
then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of
.
I am joyous to assist you anytime.
Answer:
2x=-4
x=-2
Step-by-step explanation:
The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)
<h3>How to find a missing angle by triangle properties</h3>
Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.
<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.
According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:
<em>2 · x + 90 + θ = 180</em> (1)
<em>(90 - x) + 90 + θ = 180</em> (2)
By equalizing (1) and (2) we solve the system for <em>x</em>:
<em>2 · x = 90 - x</em>
<em>3 · x = 90</em>
<em>x = 30</em>
And by (1) we solve the system for <em>θ</em>:
<em>θ = 180 - 2 · x - 90</em>
<em>θ = 30</em>
<em />
The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) 
To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314
Answer:
100.32
Step-by-step explanation:
First, we have to find 14% of 88
14% of 88 is = 88 x 14/100
= 12.32
Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)
88 + (14% of 88)
= 88 + 12.32
=100.32 pounds