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2 years ago

Find the slope of the line passing through the point (-6,8) and (-9,1)

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

5 0

Hello!

Y2-y1/x2-x1

1-9/8-6
-8/2

The slope is -4

Hope this helps!

-bambi

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The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of

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Answer:

Let the breadth is x, then the length is 3x.

The area is:

A = lw = 3x*x = 3x²

The breadth is decreased by 2 m:

w = x - 2

The length is increased by 4m:

l = 3x + 4

The area is now:

(x - 2)(3x + 4) = 3x² - 1/3(3x²)
3x² + 4x - 6x - 8 = 2x²
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = 3
x = 4

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2 years ago

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3 years ago

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For what values of a are the following expressions true?/a+5/=-5-a

katovenus [111]

Explanation:

The expression is given below as

$|a+5|=-5-a$

Concept:

We will apply the bsolute rule below

$\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}$

By applying the concept, we will have

$\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}$

Hence,

The final answer is

$a\leq-5$

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What is the equation, in standard form, of a parabola that models the values in the table?

love history [14]

Answer:

$Y=4x^2+3x-6$

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=3x^2+4x-6$ for (-2,4)