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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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Step-by-step explanation:

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3 years ago

Find the length of a diagonal of a square with sides 10in. long

Ghella [55]

Hey!!!
Answer is....
diagonals of square bisect each other at right angles.
let diagonal be 2x
Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...
${x}^{2} + {x}^{2} = {10}^{2}$
$2 {x}^{2} = 100$
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3 0

3 years ago

Read 2 more answers

Can you help me please

Olenka [21]

Answer:

$log_372 = 3.8928$

Step-by-step explanation:

Given

$log_38 = 1.8928$

Required

Evaluate $log_372$

We have:

$log_372 = log_3(8 *9)$

Apply law of logarithm

$log_372 = log_38 +log_39$

Express 9 as 3^2

$log_372 = log_38 +log_33^2$

Evaluate the exponents

$log_372 = log_38 +2log_33$

$log_33 = 1$ .

So:

$log_372 = log_38 + 2 * 1$

$log_372 = log_38 + 2$

Substitute $log_38 = 1.8928$

$log_372 = 1.8928 + 2$

$log_372 = 3.8928$

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3 years ago

Rewrite the following expression 15+21 using the GCF and the distributive property

avanturin [10]

First, we want to find the GCF of 15 and 21, which is 3. Now we do 15 divided by 3 and 21 divided by 3, which gives us 5 and 7. To rewrite the expression, we take the GCF and put it on the outside of the parenthesis. Inside the parenthesis, we put 5 + 7. So it'll look like this:

3(5 + 7)

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3 years ago

Read 2 more answers

Devaughn is 7 years younger than Sydney. the sum of their ages is 89. What is Sydney’s age?

olga55 [171]

Answer:

48 years old and Devaughn is 41

Step-by-step explanation:

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3 0

4 years ago