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OlgaM077 [116]
2 years ago
5

Give the line that is parallel to the line y=-5x-2 and goes through (3,-9)

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
3 0

Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
3 years ago
If 10 + a = 10, then a = 0
Lunna [17]

Answer:

B) identity property of addition.

Step-by-step explanation:

Given:

The statement given is:

10+a=10,\ then\ a=0

Here, we observe that 10 is added to a giving the number 10 itself as the answer. So, we know of a property which says that when 0 is added to a number, the result is the number itself. This property is called identity property of addition.

So, the value of a must be 0 because on adding a to 10, we are getting the number 10 only. So, the above statement is an example of identity property of addition.

5 0
3 years ago
Plz help!!! It's on elimination its Algebra 1
koban [17]
2x-y=0 Y=x-1 2x-x-1=0 x-1=0
7 0
3 years ago
Just Q9 please x If u could help that would be great
dybincka [34]
General rule: The angles on a straight line total 180°

The right angle equates to 90° 

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Juliet withdraws $15.00 from an account every week for lunch. She does not add or withdraw money any other time. Write and evalu
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15x= number of money withdrawn
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