The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
<h3>Dividing polynomials</h3>
From the question, we are to divide the given polynomial P(x) by the divisor d(x)
From the given information,
P(x) = x³ + 8
d(x) = x + 2
The division operation is shown in the attachment below.
The quotient, Q(x) = x² -2x + 4
and the remainder, R(x) = 0
We area to express P(x) in the form
P(x) = d(x).Q(x) + R(x)
Thus, we get
x³ + 8 = (x+2)(x² -2x + 4) + 0
Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
Learn more on Dividing polynomials here: brainly.com/question/27601809
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The answer would be (3,1)
<u>Complete Question:
</u>
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side The third side is described in relation to one of the equal sides, so let x = the length of one of the equal sides. Which equation models the problem?
O x + x + (5 – 2 x) = 23
O x + x + (2 x – 5) = 23
O x + x + (2 x + 5) = 23
O X + (2 x - 5) + (2 x - 5) = 23
<u>Answer:
</u>
The equation models the problem is x + x + (2 x – 5) = 23
<u>Step-by-step explanation:</u>
Given:
An isosceles triangle has two sides of equal length, so let x = the length of one of the equal sides
.
The third side is 5 less than twice the length of one of the other sides. So, the third side is described as 2 x - 5.
The perimeter is the sum of the side lengths and given it as 23. Therefore, form the equation as below,
Perimeter = x + x + (2 x-5)
Given perimeter of triangle = 23 cm. Hence,
x + x + (2 x-5) = 23
The above equation models the given problem.
Answer:
y=3/2x+5/2
Step-by-step explanation:
I used the Y2-Y1/X2-X1
In this equation you can see that there are 2 points (-5,-5) and (1,4)
If you substitute, you will get
4+5/1+5
9/6 and if you simplify this, you will get 3/2
Now that we have the slope, we just have to use y=mx+b
(I'm using the point (1,4)) 4=3/2(1)+b
4=3/2+b
5/2=b
