The midpoint of PQ is at (6,5) and point P is at (4,9).
What are the coordinates of point Q?

The Midpoint Of PQ Is At (6,5) And Point P Is At (4,9).What Are The Coordinates Of Point Q?

Answers

Answer 1

Answer:

B. (8, 1)

Step-by-step explanation:

Given M(6, 5) as midpoint of PQ, and P(4, 9),

let [tex] P(4, 9) = (x_2, y_2) [/tex]

[tex] Q(?, ?) = (x_1, y_1) [/tex]

[tex] M(6, 5) = (\frac{x_1 + 4}{2}, \frac{y_1 + 9}{2}) [/tex]

Rewrite the equation to find the coordinates of Q (x1, y1):

[tex] 6 = \frac{x_1 + 4}{2} [/tex] and [tex] 5 = \frac{y_1 + 9}{2} [/tex]

Solve for each:

[tex] 6 = \frac{x_1 + 4}{2} [/tex]

Multiply both sides by 2

[tex] 6*2 = \frac{x_1 + 4}{2}*2 [/tex]

[tex] 12 = x_1 + 4 [/tex]

Subtract 4 from both sides

[tex] 12 - 4 = x_1 + 4 - 4 [/tex]

[tex] 8 = x_1 [/tex]

[tex] x_1 = 8 [/tex]

[tex] 5 = \frac{y_1 + 9}{2} [/tex]

Multiply both sides by 2

[tex] 5*2 = \frac{y_1 + 9}{2}*2 [/tex]

[tex] 10 = y_1 + 9 [/tex]

Subtract 9 from both sides

[tex] 10 - 9 = y_1 + 9 - 9 [/tex]

[tex] 1 = y_1 [/tex]

[tex] y_1 = 1 [/tex]

Coordinates of Q is (8, 1)


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Answers

Answer:

X = 1

Step-by-step explanation:

4(x + 3) - 2 = 14

4x + 12 - 2 = 14

4x + 10 = 14

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x = 1

Answer:

x = 1

Step-by-step explanation:

4(x+3) - 2 = 14

4x + 12 - 2 = 14

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Answers

Answer:

Step-by-step explanation:

16=k

The value of k from the given equation is 16.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 28=8k+12-7k.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 28=k+12

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Therefore, the value of k from the given equation is 16.

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What is the probability that she got 3?

Answers

1/6 (if it’s a regular dice you’re talking about.

Answer:

1/6

Step-by-step explanation:

So asuming that she didn't roll a biased die the probability of getting a three is 1/6

This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.

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Answers

Answer:

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Step-by-step explanation:

3x+9=57

Move the Constant to the right

3x=57-9

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Divide both sides

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Answers

Answer:

X-18/3

Step-by-step explanation:

Assuming you meant 3x+18

The inverse f(-1) of the equation is above.

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Answers

Answer:

-5/9

Step-by-step explanation:

Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.

The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9

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~

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Answers

Answer:

Step-by-step explanation:

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Answers

The answer is 80.

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11.
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Answers

What do you need exactly

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Answers

Answer:

The property the equation illustrates would be the zero property of addition.

Step-by-step explanation:

The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.

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Answers

Answer:

(-1/2,-3)

Step-by-step explanation:

(-7,-9) =x1, y1

(6,3) = x2, y2

now,

Mid point= x1+x2 /2 , y1+y2 /2

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Answers

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Answers

Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

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Find the volume of a cylinder with the height 25cm and radius 5cm

Answers

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

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Answers

Answer:

Step-by-step explanation:

-32.5

-33.5

To find the difference you need to subtract, so it would look like this

-89.2-56.7 which equals -33.5

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Answers

Answer:

Jamar is correct.

Step-by-step explanation:

The scores are as follows :

−3, 2, 0, −1, 2, −4.

These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

the answer is 20 1's in 20
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Answers

Answer:

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Step-by-step explanation:

Divide V by everything you don't need on the right side.

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