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3 years ago

Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by

Mathematics

1 answer:

andrezito [222]3 years ago

5 0

9514 1404 393

Answer:

C) No, Kayla is not correct, because the remainder is -49 not 149

Step-by-step explanation:

The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.

Evaluation is often easier when the function is written in Horner form.

((x +2)x -4)x +6

For x=-5, this is ...

((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49

Kayla is not correct; the remainder is -49.

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12 Using side lengths only, could the triangles be similar? 0.5 m05 1 1.5

Murljashka [212]

Answer:

$\large\boxed{\text{No.}\ \dfrac{0.5}{1}\neq\dfrac{1}{1.5}\neq\dfrac{1.5}{2}}$

Step-by-step explanation:

$\text{Let}\\ a,\ b,\ c\ -\ \text{sides of a triangle ABC, where}\ a\leq b\leq c\\d,\ e,\ f\ -\ \text{sides of a triangle}\ DE F,\ \text{where}\ d\leq e\leq f.\\\\\triangle ABC\sim\triangle DE F\iff\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}\\\\/\text{corresponding sides are in proportion}/$

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3 years ago

The points (−3, r) and (2, 1) lie on a line with slope −2 . Find the missing coordinate r .

SVETLANKA909090 [29]

We can use point slope form to solve for this.

y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5

Now, we can input -3 for x and solve for y, or r in this case.

y = -2(-3) + 5
y = 6 + 5
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r = 11

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