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Nastasia [14]
3 years ago
10

Write the standard form of the equation of

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

5y +3x=  25

3y -2x= - 12

Step-by-step explanation:

An equation in standard form is:

Ax + By = c\\

Solving (a):

Given

m = -\frac{3}{5} --- slope

b = 5 --- y intercept

Required: Determine the equation

An equation has the form:

y = mx + b

Substitute values for m and b

y = -\frac{3}{5}x + 5

Multiply through by 5

5y = -3x + 25

Add  3x to both sides

5y +3x= 3x-3x + 25

5y +3x=  25

Solving (b):

Given

m = \frac{2}{3} --- slope

b = -4 --- y intercept

Required: Determine the equation

An equation has the form:

y = mx + b

Substitute values for m and b

y = \frac{2}{3}x -4

Multiply through by 3

3 * y = (\frac{2}{3}x -4) * 3

3y = 2x - 12

Subtract 2x from both sides

3y -2x= -2x+2x - 12

3y -2x= - 12

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The slope is always going to be rise over run so the answer is 3/12 but in simplest form it is 1/4
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3 years ago
Select all of the following tables which represent y as a function of x.
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Answer:

the second and third one

Step-by-step explanation:

two y's that are the same can't have 2 outcomes

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Surface area of 9cm, 10cm, and 15cm
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Bernice wants to buy two
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Answer:

$3.72

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Solve the following problems mentally and match it to its corresponding solution.
HACTEHA [7]

Answer:

<h3>1. t=10</h3><h3>2. t=4</h3><h3>3. t=40</h3>

Step-by-step explanation:

Isolate the term of t from one side of the equation.

<h3>1. 4t=40</h3>

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

<h3><u>t=10</u></h3>

<h3>2. 10+t=14</h3>

<u>First, change sides.</u>

t+10=14

<u>Then, subtract by 10 from both sides.</u>

t+10-10=14-10

<u>Solve.</u>

<u>Subtract the numbers from left to right.</u>

14-10=4

<h3><u>t=4</u></h3>

<h3>3. 70-t=30</h3>

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

<u>Rewrite the problem down.</u>

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

-40/-1=40

<h3><u>t=40</u></h3>

  • <u>Therefore, the correct answer is t=10, t=4, and t=40.</u>

I hope this helps! Let me know if you have any questions.

6 0
2 years ago
Read 2 more answers
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