All categories

3 years ago

What is the slope of the line that passes through the points (1, -2) and (3, -5)?

Mathematics

1 answer:

Ksivusya [100]3 years ago

4 0

Slope of the line is -3/2

Step-by-step explanation:

Step 1: Given points are (1, -2) and (3, -5)
Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)

⇒ m = (-5 - -2)/(3 - 1) = -3/2

You might be interested in

How is solving inequalities with multiplication and division similar to solving equations with multiplication and division?

bija089 [108]

Because they’re both the opposites of eachothers quantities

5 0

3 years ago

Read 2 more answers

The managers of franks snack shack buys hamburgers in packages of 30 and hamburger buns in packages of 24. He cannot buy part of

Andreas93 [3]

Answer:

He has to buy 4 packages of hamburgers in packages of 30 and 5 packages of hamburgers in packages of 24

Step-by-step explanation:

First we have to calculate the least common multiple (LCM) of 24 and 30

We will calculate the LCM of 24 and 30 by prime factorization method

24 = 2*2*2*3 = $2^{3} * 3^{1}$

30 = 2*3*5 = $2^{1} *3^{1}* 5^{1}$

LCM = $2^{3}* 3^{1}*5^{1}$

LCM = 120

So number of hamburger buns = 120

Therefore, he must buy 120/24 = 5 packages of hamburgers in packages of 24 and he must also buy 120/30 = 4 packages of hamburgers in packages of 30

4 0

3 years ago

Identify the property used in the first four steps to solve the equation 4(x-7)=2x-6

myrzilka [38]

Answer:

x = 11

distributive law

additive law

multiplication property

Step-by-step explanation:

Given in the question an equation

4(x-7) = 2x-6

Distributive law

a(b+c) = ab +ac

4x - 4(7) = 2x - 6

4x -28 = 2x - 6

Use the addition property of equality to reduce the 2x on the right.

4x - 2x - 28 = 2x - 2x -6

4x -2x -28 = -6

Use the addition property of equality to reduce -28 to zero on the left.

4x - 2x- 28 + 28 = -6 + 28

2x = 22

Use the multiplication property of equality to reduce 2x to just x

2x2 = 22/22

x = 22/2

x = 11

4 0

3 years ago

Helpppp... I suck at algebra. the question is down below <br><br><br>7x(-3)x(-2)^2

ElenaW [278]

-84x^2 is the answer

5 0

3 years ago

Read 2 more answers

What is the solution set of this inequality? 3|p + 4| + 5 < 8 (–5, –3) (–3, 0) (0, –5) (3, 5)

Viefleur [7K]

Given:

The inequality is

$3|p+4|+5$

To find:

The solution set for the given inequality.

Solution:

We have,

$3|p+4|+5$

$3|p+4|$

Divide both sides by 3.

$|p+4|$

It can be written as

$-1$

Subtracting 4 from each side, we get

$-1-4$

$-5$

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

7 0

3 years ago