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3 years ago

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:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

8b - 12 = 5b

Step 2: Solve for b

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

Step 3: Check

Plug in b to verify it's a solution.

Substitute: 8(4) - 12 = 5(4)
Multiply: 32 - 12 = 20
Subtract: 20 = 20

And we have our final answer!

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3 years ago

Solve the system by substitution. y = 8x y=10x – 4 Submit Answer 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)

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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.

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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.

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3 years ago

Read 2 more answers

Proportions, assist me please! ​

Proportions, assist me please!