All categories

2 years ago

Find the slope line (-2 -1) and (-4 -7)

Mathematics

1 answer:

Alenkinab [10]2 years ago

7 0

Answer:

$m=3$

Step-by-step explanation:

Slope formula

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

Here

$(x_1, y_1) = (-2, -1) \ \ and \ \ (x_2, y_2) = (-4, -7)$

Slope can be calculated as

$m=\frac{-7-(-1)}{-4-(-2)}$

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

You might be interested in

I need help with this I have no idea how to do it

Lapatulllka [165]

Answer:

1. 62

2. 28

3. 56

4. 92

5. 21

6. 5

7. 38

8. 28

8 0

3 years ago

Marcus has $28 to spend. He spent $3.75 to buy a notebook. He needs to save $11.25 but he wants to buy a snack. Chips cost $1.30

Alborosie

Total money Marcus has = $28

Money spent to buy a notebook = $3.75

Money left now = $28-3.75=24.25$

Money needed to be saved = $11.25

So, the amount of money Marcus can spend = $24.25-11.25=13$

Cost of a packet of chips = $1.30

The inequality to determine the maximum number of chips he can buy is:

Let the number of chips Marcus can buy = x

As he cannot spend more than $13 to buy chips so equation becomes:

$1.30x\leq 13$

Solving this we get

$x\leq 10$

Hence, Marcus can buy a maximum of 10 packs of chips and save $11.25

4 0

2 years ago

A landscaper has 10 2/5 cubic yards of peat moss in a truck. If he unloads 2 2/3 cubic yards at the first site and 2 1/4 cubic y

Vikentia [17]

Step-by-step explanation:

The problem bothers on fractions, here we are being presented with mixed fractions.

what we are going to do bascially is to subtract the sum of all the uloaded

peat moss in sites 1 and 2 to get from the peat moss to get the remaining for the third site

therefore

$10\frac{2}{5}-(2\frac{2}{3}+ 2\frac{1}{4})$

we then have to convert the mixed fraction to further simplify the problem we have

$\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})$

we then solve the fraction to the right of the negative symbol first

$=\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})\\\\=\frac{52}{5}-\frac{32+27}{12} \\\\=\frac{52}{5}-\frac{59}{12} \\\\\=\frac{624-295}{60} \\\\=\frac{329}{60}$

We can now convert to mixed fraction

$=\frac{329}{60}\\\\ =5\frac{12}{25}$

For the third site the remainder is 5 12/25

8 0

2 years ago

What is the distance between nicholas's school and the post office?

aleksklad [387]

Part A:

Given that Nicholas's school is located at point (3, 2) and that the post office is located at point (-2, -2), then the distance between Nicholas's school and the post office is given by:

$d= \sqrt{(-2-3)^2+(-2-2)^2} \\ \\ = \sqrt{(-5)^2+(-4)^2} = \sqrt{25+16} \\ \\ \sqrt{41} =\bold{6.4} \ units$

Part B:

If Nicholas is located at point (– 3 , 2), the distance to get to the grocery store located at point (1,-1) is given by:

$d= \sqrt{(1-(-3))^2+(-1-2)^2} \\ \\ = \sqrt{(1+3)^2+(-3)^2} = \sqrt{(4)^2+9} \\ \\ = \sqrt{16+9} = \sqrt{25} =\bold{5}$

4 0

2 years ago

Identify the independent and dependent variables of these data sets: 1) Number of girls who play hockey each year,

melamori03 [73]

Answer:

independent: year, height, laps

dependent: shoe size, calories burned, number of girls

4 0

2 years ago