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algol [13]
3 years ago
11

Find the distance between the point (3,1) and the line with the equation y=2x-5

Mathematics
1 answer:
True [87]3 years ago
3 0

Answer:

B:  0

Step-by-step explanation:

Note that (3, 1) satisfies the equation y = 2x - 5:

1 = 2(3) - 5

1  =  6 -5  = 1

Therefore, the distance between this point and this line is zero.

B is the correct answer.

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12x +10+3+8x ? What do I have to do ?
Annette [7]

Simplifying

12x + 10 + 3 + 8x = 0

Reorder the terms:

10 + 3 + 12x + 8x = 0

Combine like terms: 10 + 3 = 13

13 + 12x + 8x = 0

Combine like terms: 12x + 8x = 20x

13 + 20x = 0

Solving

13 + 20x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 20x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 20x = 0 + -13

20x = 0 + -13

Combine like terms: 0 + -13 = -13

20x = -13

Divide each side by '20'.

x = -0.65

Simplifying

x = -0.65

4 0
3 years ago
Read 2 more answers
Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2
tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is D_{Q,2.5}. It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

\text{Scale factor}=\dfrac{QU'}{QU}

It is given that QU=4 and scale factor = 2.5.

2.5=\dfrac{QU'}{4}

Multiply both sides by 4.

2.5\times 4=QU'

10=QU'

We know that

UU'=QU'-QU

UU'=10-4

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The distance between U' and U is 6 units.

Therefore, the correct option is C.

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Answer:

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Step-by-step explanation:

To find out how much Billy will pay, just multiply 12 and 2.50

12 x 2.50 = $30

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See attached picture

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alexdok [17]
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