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2 years ago

Find the slope of the line through each pair of points (-20,-4), (-12,-10)

Mathematics

2 answers:

klemol [59]2 years ago

7 0

Answer:

$-\frac{3}{4}$

Step-by-step explanation:

The slope of a line is given by:

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

Therefore, the slope of the line that passes through these points is:

$m=\frac{-10-(-4)}{-12-(-20)}=\frac{-6}{8}=\fbox{$-\frac{3}{4}$}$ .

jasenka [17]2 years ago

5 0

Answer:

is it just the slope of those points? if so -3/4

Step-by-step explanation:

i think. if not correct me

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Quantos segundos tem 80 anos?

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Answer:

2,522,880,000 segundos.

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2 years ago

Question 1

allochka39001 [22]

Answer:

Step-by-step explanation:

Perimeter of quarter circle = r + r + $\frac{1}{4}*2*\pi *r$

$= 10 + 10 + \frac{1}{4}*2*3.14*10\\\\= 10 + 10 + 3.14*5\\\\\\= 10 + 10 + 15.70\\\\= 35.70 cm$

2) d = 2*10 = 20 cm

Perimeter of semicircle = diameter + (1/2) * circumference of circle

$= 20 + \frac{1}{2}* 2*\pi *r\\\\= 20 + \frac{1}{2}*2*3.14*10\\\\= 20 + 3.14*10\\\\= 20 + 31.4\\\\= 51.40 cm$

3) Perimeter of three-quarter = r + r + (3/4)* circumference of circle

$= 10 + 10 + \frac{3}{4}*2*\pi *r\\\\= 10 + 10 + \frac{3}{4} * 2 * 3.14 * 10\\\\= 10 + 10 + 3 * 3.14 * 5\\\\= 10 + 10 + 47.1\\\\= 67.1 cm$

5 0

2 years ago

If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal

lorasvet [3.4K]

Answer:

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability is $P(Z > 2.5 ) = 0.0062097$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 800$

The variance is $var(x) = 1600 \ kg$

The range consider is $x_1 = 778 \ kg \ x_2 = 834 \ kg$

The value consider in second question is $x = 900 \ kg$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{var (x)}$

substituting value

$\sigma = \sqrt{1600}$

$\sigma = 40$

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

$P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )$

Generally $\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)$

$P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )$

$P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)$

From the z-table the value for $P(z_1 < 0.85) = 0.80234$

and $P(z_1 < -0.55) = 0.29116$

$P(x_1 < X < x_2 ) = 0.80234 - 0.29116$

$P(x_1 < X < x_2 ) = 0.51118$

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

$P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )$

substituting values

$P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )$

$P(X > x ) = P(Z >2.5 )$

From the z-table the value for $P(Z > 2.5 ) = 0.0062097$

7 0

2 years ago

If you set your automobile's cruise control to travel at a speed of 57 miles per hour, how long will it take you (in hours) to d

Sati [7]

3 hours and 45 minutes

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2 years ago

Please help me with this question I will give brainliest

r-ruslan [8.4K]

Answer:

$13.77

Step-by-step explanation:

To find what one yard would cost you would take the price and divide it by the number of yards. In this case, 1 yard happens to cost $4.59. You then multiply 4.59 times 3 to get 13.77

7 0

1 year ago

Read 2 more answers

Find the slope of the line through each pair of points (-20,-4), (-12,-10)​

Find the slope of the line through each pair of points (-20,-4), (-12,-10)