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2 years ago

What is the slope of the line? y + 1 = 3(x- 4)

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer:

Step-by-step explanation:

What is the slope of the line?

y + 1 = 3(x- 4)

y + 1 = 3x - 12

y = 3x - 13

the number next to the x is the slope which is 3

answer : 3

NARA [144]2 years ago

5 0

Answer: 3

Step-by-step explanation:

Let's start by converting this equation to slope intercept form

First Simplify

$y + 1 = 3(x- 4)\\y+1=3x-12$

Then isolate y

$y+1-1=3x-12-1\\\\y=3x-13$

In slope intercept form, y=mx+b, the slope is m

In this equation the slope would be 3

You might be interested in

The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i

AfilCa [17]

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

Both triangles are identical
Both rectangles are different
There are values in units^2 given
There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation A = 1/2(bh)

Substitute A = 1/2(4*3)

Simplify A = 1/2(12)

Solve A = 6

Double *2

A = 12 u^2

Rectangles

Set up equation A = lh

Substitute A = (14)(3)

Simplify A = 42 u^2

Set up equation A = lh

Substitute A = [14-(4+4)](3)

Simplify A = (14-8)(3)

Simplify A = (6)(3)

Multiply A = 18 u^2

Total Area

Set up equation A = R1+R2+T

Substitute A = 42 + 18 + 12

Simplify A = 60 + 12

Solve A = 72 u^2

<h3>Answer: 72 u^2</h3>

4 0

2 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

if you invest $4,000 in an account that earns 3% interest. How much will you have in the account in 10 years?

Dmitrij [34]

Answer:

18,000

Step-by-step explanation:

4 0

3 years ago

Your answer is incorrect.

Nikolay [14]

Answer:

Using the formula of 4/3pir^3, the answer is

Step-by-step explanation:

1) Divide the diameter by 2

2) Plug into your formula

3) cube root it

4) multiple 4

5) Divide the answer by 3

6) use a calculator to multiple the answer with pi

8 0

3 years ago

Bonsoir vous pouvez m’aider alors : A la masse x (en g) d’un objet suspendu , on associe la longueur (en mm) d’un ressort . Cett

natita [175]

Answer:

50 g = 95mm

60 g = 98 mm

0 g = 98/60 = 1.63 mm Step-by-step explanation:hope this help y'all

8 0

2 years ago