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Nutka1998 [239]
3 years ago
6

4x^2 - 35x - 99 / x^2 - 5x - 66 Simplify this expression and state any restrictions on the variable

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0

Answer:

4x+9/x+6

Step-by-step explanation:

arsen [322]3 years ago
6 0
\frac{4x^{2} - 35x - 99}{x^{2} - 5x - 66} = \frac{4x^2 - 44x + 9x - 99}{x^{2} - 11x + 6x - 66} = \frac{4x(x) - 4x(11) + 9(x) - 9(11)}{x(x) - x(11) + 6(x) - 6(11)} = \frac{4x(x - 11) + 9(x - 11)}{x(x - 11) + 6(x - 11)} = \frac{(4x + 9)(x - 11)}{(x + 6)(x - 11)} = \frac{4x + 9}{x + 6}
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MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

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3 years ago
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sleet_krkn [62]

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<h3>Given ↓</h3>
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<h3>To Find ↓</h3>
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<h3>Calculations ↓</h3>

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}

\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}

Which simplifies to ^7/_7, or 1

<h3>Slope ↓</h3>

1 (Option D.)

hope helpful ~

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2 years ago
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True

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You have to simplify like this (-5)(-8)=40
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