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3 years ago

What is the slope of the line passing through the points (-1,-7) and (-9,-2)?

Mathematics

1 answer:

nalin [4]3 years ago

7 0

Answer: m = -5/8

Step-by-step explanation:

The general equation for slope is rise over run, also known as:

m=(y2-y1)/(x2-x1)

From the points (x, y), we can get all the variables we need.

(-1, -7) gives us x1 = -1 and y1 = -7

(-9, -2) gives us x2 = -9 and y2 = -2

If we plug all the values in, we get:

m = (-2 - (-7))/(-9 - (-1))

m = (-2 + 7)/(-9 + 1) the negatives cancel

m = (5)/(-8)

m = -5/8

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In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s

viva [34]

Answer:

$Concentration = 8.26kg/m^3$

Step-by-step explanation:

Given

$V = 440000L$ --- volume of tank

$m = 10,000 kg$ --- solid mass

$r = 40000L/hr$ --- outflow rate

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

$Amount = r * Time$

$Amount = 40000L/hr * 4hr$

$Amount = 40000L * 4$

$Amount = 160000L$

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

$Ratio = \frac{Amount}{Volume}$

$Ratio = \frac{160000L}{440000L}$

$Ratio = \frac{16}{44}$

$Ratio = \frac{4}{11}$

Next, calculate the amount of solid left.

$Amount (Solid)= Ratio * m$

$Amount (Solid)= \frac{4}{11} * 10000kg$

$Amount (Solid)= \frac{40000}{11}kg$

$Amount (Solid)= 3636kg$

Lastly, the concentration is calculated as:

$Concentration = \frac{Amount (Solid)}{Volume}$

$Concentration = \frac{3636kg}{440000L}$

Convert L to cubic meters

$Concentration = \frac{3636kg}{440000* 0.001m^3}$

$Concentration = \frac{3636kg}{440m^3}$

$Concentration = 8.26kg/m^3$

3 0

2 years ago

The list shows the ages of cats at a local shelter.

frez [133]

Not 1 or 3
it can't be 4 so it is the second one

3 0

3 years ago

Read 2 more answers

FIRST TO ANSWER GETS BRAINLIEST!

Andreyy89

Answer:

I believe it's the first option, but if not ion know

6 0

2 years ago

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-5/12+5/8 what is the answer to this

enot [183]

Answer:

5/24

Step-by-step explanation:

-5/12+5/8

-10/24+15/24

5/24

3 0

2 years ago

write the equation of the line in slope - interact firm given the slop and the coordinates of the y-intercept. m=3/5; (0,1/6)

brilliants [131]

Y - y₁ = m(x - x₁)
y - ¹/₆ = ³/₅(x - 0)
y - ¹/₆ = ³/₅(x) - ³/₅(0)
y - ¹/₆ = ³/₅x - 0
 + ¹/₆ + ¹/₆
 y = ³/₅x + ¹/₆
 y = ³/₅(0) + ¹/₆
 y = 0 + ¹/₆
 y = ¹/₆

5 0

3 years ago

Read 2 more answers