The midpoint of PQ is at (6,5) and point P is at (4,9).
What are the coordinates of point Q?
Answers
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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Answer:
No
Step-by-step explanation:
100 - 99 = 1.
He left 1% of pizza.
Therefore, the answer is no.
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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
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Your answer
Answers
Answer:
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10x+30+9x+4=x-2
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Answers
Answer:
3x+9=57; Chris is 16 years old
Step-by-step explanation:
3x+9=57
Move the Constant to the right
3x=57-9
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Answers
Answer:
[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h[/tex]
Step-by-step explanation:
Divide V by everything you don't need on the right side.
So, You should end up with
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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.
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Answers
Answer:
X = 1
Step-by-step explanation:
4(x + 3) - 2 = 14
4x + 12 - 2 = 14
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4x = 4
x = 1
Answer:
x = 1
Step-by-step explanation:
4(x+3) - 2 = 14
4x + 12 - 2 = 14
4x +10 = 14
4x = 14 - 10
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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:
1/6
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
-32.5
To find the difference you need to subtract, so it would look like this
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Answers
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
No Solution
Step-by-step explanation:
When we solve linear inequalities using any one the methods such as
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In the elimination method we eliminate the same terms by addition or subtraction after making them equal.
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
= 1963.5cm³
Step-by-step explanation:
radius=5
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Brett gets 5.3% Commission on all of his sales. If he makes $5500 in a week,
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Answers
Answer:
291.5
Step-by-step explanation:
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a rectangular with a perimeter of 32 cm has a base of x-3 cm and a height of 2x+7 cm what are the length in cm of the rectangle base an height
Answers
Answer:
Step-by-step explanation:
Perimeter = 32
length = x - 3
width = 2x + 7
Perimeter = 2* Length + 2* width
Perimeter = 2*(x-3) + 2(2x + 7) = 32 Remove the brackets.
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6x = 32 - 8
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x = 24/6
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Answers
Answer:
B. segment AG is congruent to segment OL
Step-by-step explanation:
A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be described as integers, while Sophia says they are whole numbers. Which student is correct? Explain how you know.
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.
Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.
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point a is at (-7,-9) and point b is at (6,3) what is the midpoint of line segment AB
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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