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3 years ago

Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

1 answer:

4 0

The first thing I'd do is put this equation into standard slope - intercept form.

12x - 5y = 2 Subtract 12x from each side
-5y = -12x + 2 Divide each side by -5 to isolate the <em>y
</em><em />y = 12/5(x) - 2/5

The slope for this equation is 12/5, so we just take that and plug it into the slope - intercept equation with the given points (2, 3)

y = mx + b Fill in the variables
3 = 12/5(2) + b Simplify
3 = 24/5 + b Subtract 24/5 (or 4 4/5) from each side
-9/5 = b

Now we just fill in the correct variables (m and b) in the equation to have our final answer.

y = 12/5x - 9/5

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Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

3 0

4 years ago

Second time posting this. Please help!! :)

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

$\frac{480+24(x-40)}{x}$

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

5 0

3 years ago

Which expression represents 9 less than a number?

My name is Ann [436]

Answer:

x-9

Step-by-step explanation:

"Less than" switches the way of the expression.

If the "less than" was not there it would have been:

9-x

"Less" means subtract so you would subtract x from 9.

Hope this helped!

7 0

4 years ago

Read 2 more answers

-4 plus the square root of 81

almond37 [142]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The square root of 81 is 9

We have -4 + 9

Thus, your answer is 5

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0

3 years ago

Read 2 more answers

How to do linear equations

marishachu [46]

Answer:

bhjjjjjnm bvgcvjk

Step-by-step explanation:

8 0

3 years ago