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solniwko [45]
3 years ago
12

write and equation of the line parallel to the line  2 x + 4 y = 20 2 x + 4 y = 20 and containing the point  ( −

6 , 3 ) ( - 6 , 3 ) Write
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line

c represents the y intercept

The equation of the given line is

2x + 4y = 20

4y = - 2x + 20

Dividing through by 4, it becomes

y = - x/2 + 5

Comparing with the slope intercept form, slope = - 1/2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2

To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes

3 = - 1/2 × - 6 + c

3 = 3 + c

c = 3 - 3 = 0

The equation becomes

y = - x/2

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2 years ago
Kayla buys a video game for $19 plus a 6% tax. Michael buys a volleyball for $18 plus a 6% tax. Enter the difference in the amou
adelina 88 [10]

Answer:

Kayla = $20.14

Michael = $19.08

The Difference = 1.06

Step-by-step explanation:

<em><u>How to solve.</u></em>

First, you need to add up how much Kayla is paying for the video game, plus the 6% tax.

19.00 + 6% = 20.14

Then, you need to do the same with Michael's.

18.00 + 6% = 19.00

To find the difference between how much Kayla and Michael paid for their items, you need to subtract their total.

20.14 - 19.00 = 1.06

and the nearest cent would be 1.10.

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6 0
3 years ago
What is the root of this equation? <br>2x^2 - 4x + 9 = 0​
faust18 [17]

Answer:

x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

Step-by-step explanation:

Solve for x:

2 x^2 - 4 x + 9 = 0

Divide both sides by 2:

x^2 - 2 x + 9/2 = 0

Subtract 9/2 from both sides:

x^2 - 2 x = -9/2

Add 1 to both sides:

x^2 - 2 x + 1 = -7/2

Write the left hand side as a square:

(x - 1)^2 = -7/2

Take the square root of both sides:

x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

Answer:  x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

4 0
3 years ago
F(x)=−8x+4 What is the value of f(−14)?<br> 0<br> 2<br> 3<br> 6
dolphi86 [110]

Answer: 116

Step-by-step explanation:

We can substitute x=-14, giving us f(-14)=-8(-14)+4=116

4 0
2 years ago
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