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2 years ago

Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.

Mathematics

1 answer:

katrin2010 [14]2 years ago

4 0

Answer with step by step explanation

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

Let us find now.

x + 3y = -4

3y = -4 - x

3y = -x - 4

Divide the whole equation by 3.

y = -x/3 - 4/3

Therefore, the equation of the line is:

y = -x/3 - 4/3

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

Let us find now.

y = m x + c

y = -x/3 - 4/3

Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.

Therefore,

slope ⇒ -1/3

y - intercept ⇒ -4/3

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2 years ago

A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. If Leo gets Php 24,000.00, how much is the total

cricket20 [7]

Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

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3x = 24000

divide both sides by 3 to get x

x = 8000

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2 years ago

-5x-(8-x)=12 how do I solve this problem. show a step by step please in a balance problem

Alex

Answer:

x = -5

Step-by-step explanation:

to evaluate for x in this this question -5x-(8-x)=12

the firsst step, you would open the bracket with - then evaluate for the value of x

solution

-5x-(8-x)=12

-5x -8 + x = 12

combine the like terms

-5x + x = 12 + 8

-4x = 20

divide both sides by the coefficient of x

-4x/-4 = 20/-4

x = -5

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3 years ago

Look at the image. (calculus)

mash [69]

<h3>Answer: Choice H) 2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is $\sin^2 x + \cos^2x = 1$

If we were to isolate sine, then,

$\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\$

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, $\cos x = \sqrt{1-\sin^2x}\\\\$

Cosine is also positive in this quadrant.

-------------

So,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2$

Therefore,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2$

is an identity as long as 0 < x < pi/2

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2 years ago

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I need help with number 9

Westkost [7]

Answer:

A) A dilation followed by a reflection.

Step-by-step explanation:

I went over this in class the other day. (:

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2 years ago

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