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)
Related Questions
28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE
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
k=28-12
k=16
Therefore, the value of k from the given equation is 16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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V=1/3(pie)r(squared)h Need to isolate h.
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
[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h\\[/tex]
The final velocity of an object moving in one dimension is given by the formula v=u+at, where u is the initial velocity, a is the acceleration, and t is the time. Solve the equation to t. To solve for t, first __ both sides of the equation.
Answers
Answer:
subtract u from
Step-by-step explanation:
the second answer is D. t=(v-u)/a
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Answer:
"subtract u from"
Step-by-step explanation:
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f(x)=3x 2 +16 Find f(-1)
Answers
Answer:
X-18/3
Step-by-step explanation:
Assuming you meant 3x+18
The inverse f(-1) of the equation is above.
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.
2x - 6 + 4x + 14 = 32 Combine
6x + 8 = 32 Subtract 1 from both sides
6x = 32 - 8
6x = 24 Divide by 6
x = 24/6
x = 4
So the base = x - 3 = 4 - 3 = 1
The height = 2*4 + 7 = 8 + 7 = 15
line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?
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
-5/9 is your answer.
~
Please Show Work 6x(-4) Six times negative four.
Answers
Answer:
6 x (-4)
= (-24)
Step-by-step explanation:
when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.
NOTE: if a number doesn't have a sign, it's a positive number
11.
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-x-3y + z = -10
3x + 6z= -24
Answers
sun^4A+sin^2Acos^2A=sin^2A
Answers
Step-by-step explanation:
sin⁴A + sin²Acos²A = sin²A
Proving the left hand side ( LHS)
That's
sin⁴A can be written as ( sin²A)(sin ²A)
So we have
( sin²A)(sin ²A) + sin²Acos²A
Next factor sin²A out
That's
sin²A ( sin²A + cos²A)
Using trigonometric identities
That's
sin²A + cos²A = 1Simplify the expression
That's
sin²A × 1
We have the final answer as
sin²AAs proven
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To one decimal place, 93 must lie between
and
Answers
Answer:
9.3
Step-by-step explanation:
To move one decimal you move one digit left.
How many 1s are in 20?
Answers
In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?
–3
–2
3
6
Answers
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Solve the equation and find the value of x. 10(x + 3) - (-9x - 4) = x - 5+ 3
Your answer
Answers
Answer:
10(x + 3) - (-9x - 4) = x - 5+ 3
10x+30+9x+4=x-2
19x+34=x-2
19x-x= -2-34
18x=-36
x= -2
Which property does the equation illustrate?
0 +-b= -b?
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.
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
V=πr2h=π·52·25≈ 1963.49541cm³
Lina rolled a die.
What is the probability that she got 3?
Answers
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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Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No
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:
I hoped I helped ◇◇
what is 100000x 0
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Answers
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
= -7+6 /2, -9+3 /2
= (-1/2 , -3)
Change 84 inches to feet
Answers
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.
It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....
Solve for x: 4(x + 3) - 2 = 14
Answers
Answer:
X = 1
Step-by-step explanation:
4(x + 3) - 2 = 14
4x + 12 - 2 = 14
4x + 10 = 14
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
4x = 4
x = 4/4
x = 1
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show me your equation and answer
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
Calculate
3×=48
Divide both sides
x= 16
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Answers
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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
-89.2-56.7 which equals -33.5
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Answers
Answer:
291.5
Step-by-step explanation:
5500×5.3
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Answers
Answer:
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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
1) Elimination or
2) Substitution
And we get the variable eliminated with a false statement remaining, this means there is no solution.
In other words the solution does not exist or the solution is not possible in the given range or the values given are false.
But when the values are true we get a solution for the variable solved.
In the elimination method we eliminate the same terms by addition or subtraction after making them equal.
And the substitution method requires putting the values of one variable in place of another.
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Answers
The answer is 80.
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Answer:
Step-by-step explanation:
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SORRY THAT'S THE BEST I CAN DO...