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2 years ago

15 points!

Mathematics

1 answer:

Phantasy [73]2 years ago

8 0

Hi there! You are provided with two points, this is all you need to calculate the line's slope.

The equation for slope is:

$\frac{y2 - y1}{x2 - x1}$

$\frac{10 - 8}{3 - 7} = -\frac{2}{4}$

Slope: -2/4

Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)

Write the equation in slope-intercept form (y=mx+b)

$y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5$

A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

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Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Dvinal [7]

Answer:

$\dfrac{A}{x}+\dfrac{B}{x-6}$

Step-by-step explanation:

Given the function $\dfrac{37}{x(x-6)}$ , to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

$= \dfrac{37}{x(x-6)}\\\\= \dfrac{A}{x}+\dfrac{B}{x-6}$

<em>Since we are not to solve for the constants, hence the partial fraction is </em> $\dfrac{A}{x}+\dfrac{B}{x-6}$

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3 years ago

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

SOVA2 [1]

Answer:

$(x + 2) ^{2} = - 8$

Step-by-step explanation:

${x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4$

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2 years ago

Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? I have to write an equation and solve

Korvikt [17]

Variable x is ryans miles
amy-ryan=answer
40-31=x
x=9
ryan ran 9 miles
hope this helps
40-31=x is the equation

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2 years ago

Read 2 more answers

Please help me fast!!

elixir [45]

Answer:

$y = -\frac{1}{4}x$

Step-by-step explanation:

1. The slope-intercept form of a linear equation is $y = mx + b$ , where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.

2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula: $\frac{y_2-y_1}{x_2-x_1}$