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3 years ago

What’s the distance between the points (-7,-4) and (-5,-4)?

Mathematics

1 answer:

Radda [10]3 years ago

3 0

Answer:

2 units

Step-by-step explanation:

Distance

$= \sqrt{(-4 - (-4))^2 + (-7 - (-5))^2}$

$= \sqrt{0^2 + (-2)^2}$

$= \sqrt{(-2)^2}$

$= 2$

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velikii [3]

Answer:

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 5x - 4

g(x) = -4x - 12

Step 2: Find f(g(x))

f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4

f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4

f(g(x)) = 48x² + 288x + 432 + 20x + 64

f(g(x)) = 48x² + 308x + 496

Step 3: Find f(g(-4))

f(g(-4)) = 48(-4)² + 308(-4) + 496

f(g(-4)) = 48(16) - 1232 + 496

f(g(-4)) = 768 - 736

f(g(-4)) = 32

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3 years ago

Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y

aleksklad [387]

Answer:

Option C is correct.

Equation of a line $y=\frac{-2}{3}x+6$ passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is,

$y-y_{1}=m(x-x_{1})$ ; where m is the slope and is given by:

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

First find the slope m:

$m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}$

Substitute this value in equation of line:

$y-6=\frac{-2}{3} (x-0)$ or

$y-6=\frac{-2}{3} x$

⇒ $y=\frac{-2}{3}x+6$

Therefore, the equation for the given point is: $y=\frac{-2}{3}x+6$

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3 years ago

The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below ze

deff fn [24]

Answer:

umm it think it is 14

Step-by-step explanation:

7 0

3 years ago

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ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how

Nady [450]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

First of all we have to calculate the volume of the pool and then calculate 80% of that volume

radius = half of diameter

d = 18ft

r = 18ft / 2 = 9ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 6ft

π = 3.14

r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

v = (3.14 * 81ft²) * 6ft

v = 254.34ft² * 6ft

v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³ * 80/100 = 1220.83ft³

You will put 1220.83ft³ of water in the pool

8 0

3 years ago

The u.s. department of health and human services collected sample data for 772 males between the ages of 18 and 24. that sample

soldier1979 [14.2K]

The 99% confidence interval for the true mean is given by:

$\bar{x}\pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

where:

$\bar{x}$ is the sample mean = 69.7
$\sigma$ is the standard deviation = 2.8
$z_{\alpha/2}$ is the test statistics = 2.58 for for 99% confidentce interval.
n is the sample size = 772.

Therefore, the 99% confidence interval is:

$69.7\pm2.58\left( \frac{2.8}{\sqrt{772}} \right)=69.7\pm2.58(0.1008) \\ \\ =69.7-0.26\leq\mu\leq69.7+0.26 \\ \\ =69.44\leq\mu\leq69.96$

6 0

3 years ago

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