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3 years ago

NEED HELP ASAP Which of the following equations describe the line shown below?

Mathematics

1 answer:

bagirrra123 [75]3 years ago

6 0

(-1,6)(2,-6)
slope = (-6 - 6) / (2 - (-1) = -12/3 = -4

y = mx + b
slope(m) = -4
(-1,6)...x = -1 and y = 6
sub and find b, the y int
6 = -4(-1) + b
6 = 4 + b
6 - 4 = b
2 = b

so the equation is : y = -4x + 2 <=== here is one

y - y1 = m(x - x1)
slope(m) = -4
(-1,6)...x1 = -1 and y1 = 6
sub
y - 6 = -4(x - (-1) =
y - 6 = -4(x + 1) <=== here is one

y - y1 = m(x - x1)
slope(m) = -4
(2,- 6)...x1 = 2 and y1 = - 6
sub
y - (-6) = -4(x - 2) =
y + 6 = -4(x - 2) .... here is one, but it is not an answer choice

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Answer:

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Step-by-step explanation:

(a)

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We need to find all the elements of given set.

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Using (1) and (2) we get

$0$

Since x ∈ Z,

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(b)

We need to find the value of | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

$|A|=10$

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

$x>10$ ... (3)

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It means

$-10\leq x\leq 10$ .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

$B=\{\}$

(d)

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$|B|=0$

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(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

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$N=2^n$

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Answer:

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Read 2 more answers

15 points!

Phantasy [73]

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

The equation for slope is:

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

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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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3 years ago