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3 years ago

Which of the following shows the division problem below in synthetic division form? 4x^2-13x+8 / x+5

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

Dividing 4x^2 - 13x + 8 by x + 5 or x - (-5), in synthetic division form:

-5) 4 | -13 | 8

↓ 4 x (-5) (-5) x (-33)

4 -33 173

=> Quotient is 4x - 33 and remainder is 173

=> (4x^2 - 13x + 8)/(x + 5) = (4x - 33) + 173/(x + 5)

Hope this helps!

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Find the equation of the line passing through (2,-1) and parallel to the line 2x-y=4

Free_Kalibri [48]

Answer:

y = 2x - 5

Step-by-step explanation:

The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.

Now we have y = 2x - k.

Then, we plug in the coordinates to our new equation to solve for k.

-1 = 2(2)-k

-1 = 4-k

k = 5

So the final equation would be y = 2x - 5

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3 years ago

How many inches equals how many miles

irga5000 [103]

Answer:

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3 years ago

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

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4 years ago

Read 2 more answers

Fractions : $1,000 1/4. Someone plz help

olga2289 [7]

Not 100% sure exactly what you’re asking, but if you are asking what is 1/4 of $1,000, all we need to do to find the answer is divide $1,000 by the denominator of the fraction which is 4

$1,000 ÷ 4 = $250

Therefore, 1/4 of $1,000 is $250

Hope this helps you

-AaronWiseIsBae

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3 years ago

22 POINTS, NEED URGENT HELP

rjkz [21]

1) start with (x-h)^2 + (y-k)^2 = r^2. Insert the given info: center at (-1,8) and radius 5:

(x+1)^2 + (y-8)^2 = 5^2 (answer)

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3 years ago