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n200080 [17]
3 years ago
6

Find the equation of the line Which passes through ( -4,-2) and it is parallel to 2y-6x-3 =0

Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

y = 3x + 10

Step-by-step explanation:

In this question, we have to find an equation of a line that's parallel to the equation given.

First, lets turn the given equation into slope-intercept form:

2y - 6x - 3 = 0

Add 6x and 3 to both sides.

2y = 6x + 3

Divide both sides by 2.

y = 3x + 3/2

We know that the slope of our parallel line has to be 3, now we just need to find what our beginning point, or y-intercept, is.

To find our parallel line, plug in the coordinates to the y = 3x + b and solve.

Solve for b:

-2 = 3(-4) + b

-2 = -12 + b

Add 12 to both sides.

10 = b

Our parallel equation would be: y = 3x + 10

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8. You are paid a commission plus $5.40 per hour with time and a half overtime
Elanso [62]

9514 1404 393

Answer:

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

  $43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

  $3000 × .04 +1115 × .05 = $175.75 . . . commission

  $315.90 +1.75.75 = $491.65 . . . . gross pay for the week

_____

It can be less tedious to let a spreadsheet do the calculations.

6 0
3 years ago
Is (-a + b)² = a² - 2ab + b² right or wrong, and why?
antiseptic1488 [7]

Answer:

\huge\boxed{\sf Right.}

Step-by-step explanation:

(-a+b)^2

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
3 years ago
I need help with number 13
nikklg [1K]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the point (0, 5). Therefore b = 5.

We have: y = mx + 5

Other point (3, 2). Substitute the coordinates of the point to the equation of the line:

2=3m+5     <em>subtract 5 from both sides</em>

-3=3m      <em>divide both sides by 3</em>

-1=m\to m=-1

<h3>Answer: f(x) = -1x + 5 = -x + 5</h3>
3 0
3 years ago
Help me, I don't understand how to do it.
Levart [38]

Answer:

Aplha=105

Step-by-step explanation:

The perpendicular looks like double the base hence that angle is 30 and the other triangle have equal perpendicular and base, that angle is 45. So alpha+30+45=180, alpha=105

7 0
3 years ago
What is the slope in the equation y equals 8x - 10​
ikadub [295]

Answer:

8

Step-by-step explanation:

the formula is

y=mx+b

in this case the, m is 8, and the b is -10.

6 0
3 years ago
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