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3 years ago

A. Find the slope of the line that passes through the points (2,-5) and (-2,3).

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

8 0

PART A:

Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2

PART B:

Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.

PART C:

Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.

PART D:

We can use point-slope form first:

y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.

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Show your work in the comments below and and the answer choice

Olegator [25]

Answer:

Your answer is A.

Step-by-step explanation:

5 x 12 = 60

5 x 6 = 30 / 2 = 15

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3 years ago

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maks197457 [2]

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3 years ago

Which of the following equations, in its simplest form, will be equivalent to 3x 2 (–5)? 2 3x 5 x – 1 x – 2 x –3 – 3x – 1 x 3 –

Marrrta [24]

Answer:

Step-by-step explanation:

Let f(x) = 3x² - x³ - 3x + 5 and g(x) = x - 1 - x²

-x² + x - 1) -x³ + 3x² - 3x + 5(x - 2

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-------------------------

2x² - 2x + 5

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2 years ago

Read 2 more answers

The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of

Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

6 0

3 years ago

Solve the following quadratic function

padilas [110]

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

=========================================================

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

=========================================================

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

=========================================================

Taking square root on both sides :

⇒ √(x²) = √4

⇒ x = ±2

8 0

2 years ago