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bulgar [2K]
3 years ago
9

Proportions, assist me please! ​

Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0

Step-by-step explanation:

w =  \frac{1}{2}  {x}^{2} y \\ (2)w =  \frac{1}{2}  {x}^{2} y(2) \\ 2w =  {x}^{2} y \\  \frac{2w}{ {x}^{2} }  =   \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y

<h3>Answer:</h3>

y =  \frac{2x}{ {x}^{2} }  \\

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
3 years ago
How to solve the equation 8b - 12 = 5b
Virty [35]

Answer:

b = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8b - 12 = 5b

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Subtract 5b on both sides:                    3b - 12 = 0
  2. Add 12 on both sides:                            3b = 12
  3. Divide 3 on both sides:                          b = 4

<u>Step 3: Check</u>

<em>Plug in b to verify it's a solution.</em>

  1. Substitute:                  8(4) - 12 = 5(4)
  2. Multiply:                      32 - 12 = 20
  3. Subtract:                     20 = 20

And we have our final answer!

4 0
3 years ago
Solve the system by substitution.<br> y = 8x<br> y=10x – 4<br> Submit Answer<br> How
Goshia [24]

Answer:

(2,16)

Step-by-step explanation:

y=8x-----------(i)

y= 10x-4---------(ii)

Substituting the value of y=8x in equation (ii)

8x=10x-4

8x-10x=-4

-2x= -4

x=2

Now, substituting the value of x= 2 in equation (i)

y=8x=8(2)=16

Solution of the system is (2,16)

6 0
3 years ago
The ratio of two numbers is 4:5 if the larger number is 300 what is the smaller number​
yaroslaw [1]

Answer:

The smaller number is 240.

Step-by-step explanation:

The question says that the larger number is 300, so 5 has to be 300.

4:5

?:300

You can use cross-multiplication or find the scale factor to find the answer.

Cross-multiplication:

4 × 300 ÷ 5 = 240

Finding the scale factor:

300 ÷ 5 = 60

4 × 60 = 240

The smaller number is 240.

6 0
2 years ago
17. You bought four cans of chicken noodle soup at the grocery store. You paid a total of 3.10
Brrunno [24]

Answer:

0.775

Step-by-step explanation:

Divide 3.10 by the number of cans you have. The total number of cans you have is 4. So divide 3.10 by 4 and you will have the answer of 0.775.

4 0
3 years ago
Read 2 more answers
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