MATHEMATICS HIGH SCHOOL

What is the slope of a line parallel to the line whose equation is 3x - 18y = -378. Fully reduce your answer.​

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

The slope is the coefficient of x when you solve for y. A parallel line will have the same slope.

  -18y = -3x -378

  y = 1/6x +21

The slope of the parallel line is 1/6.
Answer 2
Answer:

Final answer:

By rearranging the given equation into slope-intercept form (y = mx + b), we can identify the slope as 1/6. Therefore, a line parallel to the original would also have a slope of 1/6.

Explanation:

The equation provided is 3x - 18y = -378. To find the slope of this line, we first need to rearrange the equation into y = mx + b format where 'm' represents the slope. The equation becomes y = 3/18 x + 21.

The slope of this line is 3/18, which simplifies to 1/6. The slope of a line parallel to this would also be 1/6, because parallel lines have equal slopes. So, the slope of the line parallel to the given line is 1/6.

Learn more about Slope here:

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Answers

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What is the exact area of a circle with a diameter of 18 feet

Answers

the exact answer is in the file below
Use the formula A= 3.14 (pi)r² 
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Hoped this helped.

~Bob Ross®

You went to the mall with $80 you spend 25% of your money on a pair of shorts and 65% of the remainder on sandels how much did you spend on the sandels.

Answers

80*0.25=20
20*65=13
You spend $13 on the sandals
well 80 is total
25% of 80 is 20
so total now is 60
65% of 60
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60% is 36
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36 +3 is 39
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37x -58 = 132 + 97x
Please help solve for x

Answers

Answer:

x = -19/6

Step-by-step explanation:

37x - 58 = 132 + 97x

-60x = 190

x = -19/6

Answer:  -3.167 or -19/6

Step-by-step explanation:

x = -19/6 = -3.167

A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?

Answers

x - 3pt  baskets  (he reaches 3x points)
y - 2pt baskets  (he reaches 2y points)

We know, that  y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points:  96

3x + 2y = 96.   Substitute  to "y"  an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10    |:5
x=2 

So y=x+43=2+43=45 

He has made 2  three points baskets and 45 two points baskets

In the past 4 years, a sporting goods store had two yearly losses of $28,000 and $42,000 and two yearly profits of $104,000 and $10,000. What was the net profit or loss over 4 years?







A.
–$70,000





B.

$114,000






C.
$44,000





D.
–$44,000

Answers

losses: 28,000 + 42,000 = 70,000
profit: 104,000 + 10,000 = 114,000

net profit = profit - losses
net profit = 114,000 - 70,000
net profit = 44,000

The net profit over the 4 year period is Choice C. 44,000
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