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Gelneren [198K]
3 years ago
9

What's the slope of (-11,9) and (-7,9)

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0

Answer:

\boxed {m = 4}

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you find the slope of the two given points:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

First Point: (x_{1}, y_{1})

Second Point: (x_{2}, y_{2})

-Apply the two given point onto the formula:

First Point: (-11, 9)

Second Point: (-7, 9)

m = \frac{9 - 9}{-7 + 11}

-Solve for the slope:

m = \frac{9 - 9}{-7 + 11}

m = \frac{0}{4}

\boxed {m = 4}

Therefore, the slope is 4.

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The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value
Sladkaya [172]

Given:

The equation is:

3x-8y=k

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of <em>k</em>.

Solution:

We have,

3x-8y=k

Substituting x=0 to find the y-intercept.

3(0)-8y=k

0-8y=k

y=\dfrac{k}{-8}

y=-\dfrac{k}{8}

Substituting y=0 to find the x-intercept.

3x-8(0)=k

3x-0=k

x=\dfrac{k}{3}

Area of a triangle is:

A=\dfrac{1}{2}\times base\times height

The height of the ∆AOB is OB=\dfrac{k}{8} because distance cannot be negative and the base of the ∆AOB is OA=\dfrac{k}{3}. So, the area of the ∆AOB is:

A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}

A=\dfrac{k^2}{48}

It is given that, the area of ∆AOB = 12 sq.units.

\dfrac{k^2}{48}=12

k^2=576

k=\pm \sqrt{576}

k=\pm 24

Therefore, the value of k is either 24 or -24.

4 0
3 years ago
FIRST -CORRECT- ANSWER WILL GET BRANLIEST!!
worty [1.4K]

Answer:

I think the answer for x is 1

8 0
3 years ago
Read 2 more answers
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Vilka [71]

Answer:

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step\:1

\frac{1}{ \sqrt{3} -  \sqrt{2}  }

write the equation

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step\:2

\frac{1 \times ( \sqrt{3} +  \sqrt{2})  }{ (\sqrt{3} -  \sqrt{2} ) \times  (\sqrt{3}  +  \sqrt{2})  }

multiply both numerator and denominator by √3+√2

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step\:3

\frac{ \sqrt{3} +  \sqrt{2}  }{ ( 3 ) - ( 2 ) }

after multiplying numerator with √3+√2 we get→√3+√2

after multiplying denominator we get 3-2

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step\:4

\frac{ \sqrt{3}  +  \sqrt{2} }{1}

after subtracting 3 with 2 we get →1

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hope it helped you:)

3 0
3 years ago
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4 years ago
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Answer:

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