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3 years ago

Select the correct answer. Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2). A. B. C. D.

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Step-by-step explanation:

If you use synthetic division, you get,

$2x {}^{3} + 2x + 4 + \frac{0}{x + 2}$

Which is,

$2x {}^{3} + 2x + 4$

Answered by GAUTHMATH

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The function f(t)=t^2+12t-18 represents a parabola.

Lyrx [107]

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$f(t) = (t+6)^{2} -54$

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3 years ago

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

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

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

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3 years ago

The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter

vivado [14]

Loss of yards

37 - 88 - 105 + 12 = -144

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3 years ago

What is an expression equivalent to 11(5)+11(11)

inessss [21]

Answer:

176

Step-by-step explanation:

just simplify the given mathematical statement

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3 years ago

Please help!!!!!!!!!!!

yawa3891 [41]

Answer:

h = 1,268 cm

Step-by-step explanation:

V = (π·r²·h)/3, general formula

83 = (π·4²·h)/3, substitute what is given V= 83 cm³ and r = 4 cm

83 ·3 = (π· 16·h)·3/3, multiply both sides by 3 and solve 4² = 16

249 = π·16·h, multiply 83·3 = 249 and 3/3 = 1

249/ π·16 = h , divide both sides by π·16

1,268.146587 = h, solve

1,268 ≈ h , is rounded to the nearest cm

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3 years ago