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anzhelika [568]

2 years ago

5

Write the equation of the line graphed below. i’ll be giving out brainliest, thanks!

1 answer:

andrey2020 [161]2 years ago

8 0

Y=-1/4x+2

y=mx+b
B= y-intercept, 2
M= slope, -1/4
Negative graph
Non-proportional

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Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

<em>2. Now the equation is,</em>

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

<em>4. Solve by making a the subject</em>

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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4 0

2 years ago

Factorise the following using the Difference of Two Squares or Perfect Squares rule: a) (2x-2)^2 - (x+4)^2 b) (3x+4) (3x-4)

emmainna [20.7K]

Answer:

Step-by-step explanation:

Hello, please consider the following.

a)

$(2x-2)^2 - (x+4)^2 \\\\=(2x-2-(x+4))(2x-2+x+4)\\\\=(2x-2-x-4)(3x+2)\\\\=\boxed{(x-6)(3x+2)}$

b)

$(3x+4) (3x-4)\\\\=(3x)^2-4^2\\\\=\boxed{9x^2-16}$

Thank you.

7 0

2 years ago

Round 27,372 to the nearest ten thousand.

grin007 [14]

Answer:

30,000

Step-by-step explanation:

7 is rounded up, so 2 + 1 is 3, therefore the answer is 30,000

6 0

2 years ago

Read 2 more answers

N - 8 > 5 <br><br> A. n > 13 <br> B. n > 3 <br> C. n > - 3 <br> D. n > -13

statuscvo [17]

the answe is a- n>13

4 0

3 years ago

The coordinate plane below represents a city. Points A through F are schools in the city.

vesna_86 [32]

2 schools is what lisa can attend

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2 years ago