All categories

3 years ago

Help I don’t understand

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

3 0

The slope of a line between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\frac{y_2 - y_1}{x_2 - x_1}$ . You can think of this as either rise/run or change in y divided by change in x.

Here, the slope is $\frac{6-4}{2-1}$ , which is equal to 2.

You might be interested in

1. P= 2l + 2w 2. P= 2 ( ) + 2 ( ) 3. P= _____ units

harina [27]

Answer:

Step-by-step explanation:

21 + 2=22

2+2=4

22+4=26

8 0

3 years ago

Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. David purchased a burger, a slice of piz

padilas [110]

Answer:

cost of a burger= $4.5

Cost of soda = $3.5

Cost of a slice of pizza = $5.5

Step-by-step explanation:

Let x = the cost of a burger.

Let y = the cost of a soda.

Let z = the cost of a slice of pizza.

Louis bought a burger and soda for $8. This means

x + y = 8 - - - - - - - -1

Kate purchased a slice of pizza and soda for $9. This means

z + y = 9 - - - - - - - - - 2

David purchased a burger, a slice of pizza, and a soda for $13.50. This means

x + y + z = $13.50 - - - - - - - 3

Substituting x = 8-y and z = 9-y in equation 3, it becomes

8-y + y + 9-y = 13.50

-y -y + y = 13.50 -8-9

-y = -3.5

y = $3.5

Put y = 3.5 in equation 1

x + 3.5 = 8

x = 8 - 3.5 = $4.5

Put x = 4.5 and y = 3.5 in equation 3.

4.5 + 3.5 + z = 13.5

8 + z = 13.5

z = 13.5 - 8 = $5.5

3 0

3 years ago

What is the roots of f(x)=-x^2-6x-14

Nutka1998 [239]

Answer:

$x=-3\pm i \sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary roots: √-1 = i

Step-by-step explanation:

Step 1: Define function

f(x) = -x² - 6x - 14

Step 2: Set up

Set equation equal to 0: -x² - 6x - 14 = 0
Factor out -1: -(x² + 6x + 14) = 0
Divide both sides by -1: x² + 6x + 14 = 0

Step 3: Define variables

a = 1

b = 6

c = 14

Step 4: Find roots

Substitute: $x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}$
Exponents: $x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}$
Multiply: $x=\frac{-6\pm\sqrt{36-56} }{2}$
Subtract: $x=\frac{-6\pm\sqrt{-20} }{2}$
Factor: $x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}$
Simplify: $x=\frac{-6\pm2i \sqrt{5} }{2}$
Factor: $x=\frac{2(-3\pm i \sqrt{5} )}{2}$
Divide: $x=-3\pm i \sqrt{5}$

8 0

3 years ago

Which choice is the slope-intercept equation of the line shown below?

Neporo4naja [7]

Answer:

C is my answer

Step-by-step explanation:

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%2B%20%20%5Csqrt%7B7%7D%20" id="TexFormula1" title="4 + \sqrt{7} " alt="4 + \sqrt{7} " a

ivann1987 [24]

$4 + \sqrt{7}$
Calculate the appropriate values, we get

$= 4 + 2.64575$
$= > 6.64575$

3 0

3 years ago