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blagie [28]
3 years ago
9

Passing through 1,-4 and -2,5

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

If you are looking for the slope-intercept equation, it's y=−3x−1. Hope you have a great rest of the day and stay safe, be kind, and go beyond Plus Ultra!

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Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
Find the straight line f(x) which intersects the coordinates (8,0) and (1, -7).
Delvig [45]

Answer:

y = x - 8

Step-by-step explanation:

7/7X - 8

the y intercept was the only tricky part

4 0
3 years ago
Read 2 more answers
Given cos x=0.4762,find the degree measure of x.round your answer to the nearest tenth
alex41 [277]

If you have a calculator, you can use the inverse cos " cos⁻¹ " key. Many upper level books write that as Arccos so as not to confuse you with a negative exponent. We do that because if you take the cosine of any angle, and then the inverse cosine of any angle, it leads you back to the original angle. Think of it as a big "UNDO" button.

To one decimal place, that result is 61.6 degrees.

5 0
3 years ago
Please help please please please please please please!!!!
Papessa [141]

Answer:

Angle YXZ

Step-by-step explanation:

The smaller the side the smaller is opposite angle

7 0
3 years ago
Find te range, medían, and mode
sveticcg [70]
Range: The highest/biggest number subtracting the smallest number

Median: The middle number - put all the numbers in a numerical order (from smallest to the largest), and then find the number in the middle 

Mode: The most common number 

4 0
3 years ago
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