The midpoint of segment QR is M(-2, 9). One end point of segment QR is Q(-8, 12). Find the coordinates of the other endpoint, R.
Answers
Here,
The midpoint of segment QR is M
m(-2,9) x3=-2,y3=9
Q=(-8,12)x1=-8,y1=12
R=x2,y2
we know that,
[tex]\tt{ m=\dfrac{Q+R}{2} }[/tex] ⠀
So,
x3=[tex]\tt{\dfrac{x1+x2}{2} }[/tex] ⠀
[tex]\tt{-2=\dfrac{-8+x2}{2} }[/tex] ⠀
[tex]\tt{-2×2=-8+x2 }[/tex] ⠀
[tex]\tt{x2=8-4 }[/tex] ⠀
[tex]\tt{x2=4 }[/tex] ⠀
x2=4
now we find the y coordinate y2.
y3=[tex]\tt{\dfrac{y1+y2}{2} }[/tex] ⠀
[tex]\tt{9=\dfrac{12+y2}{2} }[/tex] ⠀
[tex]\tt{9×2=12+y2 }[/tex] ⠀
[tex]\tt{y2=18-12 }[/tex] ⠀
[tex]\tt{y2=6 }[/tex] ⠀
y2=6
Now we get the two coordinate of R
so,
R=(x2,y2)=(4,6)
Related Questions
HELPPPPPPPPPPP!!!!!!!!! Oh
Answers
Answer:
We conclude that:
[tex]3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]
Hence, option B is correct.
Step-by-step explanation:
Given the expression
[tex]3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}[/tex]
solving
[tex]3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}[/tex]
Scalar Multiplication: Multiply each of the matrix elements by a scalar
[tex]=\begin{pmatrix}3\cdot \:2\left(-2\right)&3\cdot \:2\cdot \:3&3\cdot \:2\cdot \:0\\ 3\cdot \:2\left(-4\right)&3\cdot \:2\cdot \:2&3\cdot \:2\cdot \:6\\ 3\cdot \:2\cdot \:6&3\cdot \:2\left(-5\right)&3\cdot \:2\cdot \:6\end{pmatrix}[/tex]
Simplify each element
[tex]=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]
Therefore, we conclude that:
[tex]3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]
Hence, option B is correct.
William tracks the number of sweaters he sells and the profit he makes from them.
400
350
300
250
Profit($)
200
150
100
50
Sweaters Sold
If the pattern continues, how many sweaters must William sell to profit $350?
Answers
Answer:
650 Sweaters hope this helps
NEED HELP ON ALL OF THEM
Answers
Solve the proportion: 6/x = 21/28
Answers
Hope this helps <3
The answer is 8.
What is proportion?
Proportion is defined as the difference between two ratios or fractions that are equal to each other.
The given proportion is
6/x = 21/28
x = (6*28)/21
x=(6*4)/3
x=8
Hence the solution for the given proportion is 8.
To learn more about proportion, use the link given below:
https://brainly.com/question/3254974
#SPJ2
Please help it going to close in 15 min (7 and 8)
Answers
Please help me please I beg u
Answers
Answer:
2 times larger
Step-by-step explanation:
Answer:
two.
Step-by-step explanation:
The circumference of a wheel is directly scaled to its radius. We're told that Kevin's tricycle wheel is eight inches in radius, and Monica's bicycle wheel is 16 inches in radius. Because 16 is equal to 2×8, we know that Monica's wheel is twice as big as Kevin's.
1 + 33x = 12
What is X
Please Help me
Answers
Answer:
1+33x=12
-1 -1
33x=11
33 33
x=0.3
:)
If a = 12 and b = 6, what is the length of x?
Answers
Answer:
sqrt89
Step-by-step explanation
A pack of 10 pencils costs $4.00. Find the unit rate of 1 pencil.
$.30
$.40
$.60
$.90
Answers
Answer:
.40
Step-by-step explanation:
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answers
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
what is thecommon factor of 12and24
Answers
Hope I helped !!!!!
Answer:
12
Step-by-step explanation:
12 can go in both 12 and 24 without a remainder
Danny charges $18 for 2 hours of swimming lessons, Martin charges $80 for 5 hours of swimming lessons.
Who offers a better deal?
(select) offers the better deal.
(select)
Martin
Danny
Answers
Answer:
danny's offer is cheaper
Step-by-step explanation:
danny = $9 per hour
martin = $16 per hour
Drag the tiles to the correct boxes to complete the pairs.
Match each compound inequality to the graph of its solutions on the number line.
Answers
Answer:
The answers for the exercise shown in the figure attached above, are shown
Step-by-step explanation:
-The Compound inequality for the solution 1 is:
-2(x+1)≥-4 or 4x-7≥5
x≥1
x≥3
-The Compound inequality for the solution 2 is:
-6≤2x-8≤-2
1≤x≤3
-The Compound inequality for the solution 3 is:
3x-4≥5 or -5x+17≤12
x≥3
x<1
Factor the polynomial 8x² − 24x − 224 completely
Answers
Answer:
8(x+4)x(x-7)
Step-by-step explanation:
hope this helps!
3) y = 4x + 24
y = x + 9
Answers
Answer:
x= -5
y= 4
Step-by-step explanation:
Substitute the equations for y
x+9=4x+24
Subtract x from both sides of the equation.
9=3x+24
Now subtract 24 from both sides of the equation.
-15=3x
x= -5
y= -5=9=4
Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.
Answers
Answer:
um theres no picture or anything but when a value decreases in an equation its exponential decay...
Simplify (-32) ÷ (-4)
Answers
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{Guide\downarrow}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{(-32)\div(-4)}[/tex]
[tex]\bold{=32\div4}[/tex]
[tex]\bold{=8}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Answer:
4
Step-by-step explanation:
Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.
-32/ -8 = 4
Check....
-8 * 4 = -32
-32 / 4 = -8
When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find d 1.75b + 100
Answers
Answer:
b = -57.143
Step-by-step explanation:
I will assume you meant find b, not d.
1.75b = -100
b = -100/1.75
b = -57.143
HELP ME ON THIS QUESTION ASAP!!!!!
Answers
Y2-Y1 / X2-X1
62÷4=? R ? What is the remainder for 62÷4=? R ? All im asking for is just the remainder.
Answers
Answer:
The remainder is 2.
Step-by-step explanation:
Answer:
= 15 R 2
= 15 2/4
= 15 1/2
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If 9 : x = x : 4, then x = _____
Answers
Step-by-step explanation:
Explanation:
9
:
x
as
x
:
4
∴
9
x
=
x
4
x
2
=
36
x
=
±
√
36
x
=
±
6
Step-by-step explanation:
[tex]\tt{ 9:x=x:4 }[/tex] ⠀
[tex]\tt{\dfrac{9}{x}=\dfrac{x}{4} }[/tex] ⠀
[tex]\tt{x×x=9×4 }[/tex] ⠀
[tex]\tt{ x^2=36 }[/tex] ⠀
[tex]\tt{ x=\sqrt{36}}[/tex] ⠀
[tex]\tt{ x=6 ~and~x=-6 }[/tex] ⠀
Which of the following solutions solves the system?
Answers
(1,-1)
HELP WITH NUMBER 4 PLEASE!1 PLEASE SHOW ME HOW!
Answers
Answer:
( 2x+5) (5x-2)
Step-by-step explanation:
Mauri’s little Sister weighed exactly 7 pounds when she was born. How many ounces did she weigh?
Explain how you got your answer, talk about the steps you took to get your answer.
Answers
Searched it up on goggle
112
Answer:
112 ounces
Step-by-step explanation:
Converting pounds to ounces is simple. Since there are exactly 16 ounces in one pound, just multiply the number of pounds by 16.
16
x. 7
------------
112
For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x - 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.
Answers
Answer/Step-by-step explanation:
Given,
10x - 3y = 3
3x + 10y = 30
Rewrite both equation in slope-intercept form, y = mx + b.
Where, m = slope of the line.
Thus,
✔️10x - 3y = 3
-3y = -10x + 3
y = 10/3x - 1
Slope of this line would be 10/3
✔️3x + 10y = 30
10y = -3x + 30
y = -3/10x + 3
The slope of this line is -³/10.
✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.
The scatter plot shows a correlation between the number of participants and the year of
the snowboarding competition.
The line of regression models that correlation.
Enter a number to complete each statement.
Answers
Answers:
In 2003, there were 32 ...
The model predicts ... 40 ...
... 8 below what the model predicted
In 2003, there were 32 ...
-> We find the x-axis of 2003 and look up until we hit the line, then we find the y-coordinate for that point
-> 32
The model predicts ... 40 ...
-> The green 8 with an arrow shows the prediction
-> 40 - 8 = 32
-> 40
... 8 below what the model predicted
-> The green 8 shows the difference in the prediction and the actual participation
-> 8
I need help on question 1
Answers
Answer:
1873
Step-by-step explanation:
i am pretty sure i had this question on a test before so i am pretty sure it is 1873 and i got it right
Witch exspression is equivalent to (7^-8) (7^3)
Answers
Answer:
uhh not sure.
Step-by-step explanation:
maybe 0.000000173 * 343 wich is their values expanded
If there are 2 boys In a class of 15 what is the ratio of boys to girls in the class
A 15/2
B 13/2
C 2/15
D 2/13
Answers
The answer would be ratio D 2:13
y = -4x - 24
y + 2x = 8
How would I solve by substitution step by step?
Answers
Answer:
x=-16
y=40
Step-by-step explanation:
y=-4x-24
y+2x=8
its the same y. Use substitution
(-4x-24)+2x=8
-2x-24=8
-2x=32
x=-16
We found x!
substitute x in either equation
y+2x=8
y+2(-16)=8
y-32=8
y=40
Answer: (-16, 40)
Step-by-step explanation: Using substitution, you can but the first y=-4x-24 into the second equation y+2x=8. So, you take what y is (which is -4x-24) and substitute it for the second y in the equation y+2x=8.
Your equation should now look like this (-4x-24) + 2x = 8.
You can then solve -4x -24 +2x =8. Combine like-terms (-4x+2x) to get -2x-24=8. Then use inverse operations and add 24 from both sides (so from the -2x-24 side and 8 side). This will then give you -2x=32. divide both sides from -2x to get:
x = -16
Then, plug in x= -16 into the first equation (y= -4 (-16) - 24). Then use PEMDAS and multiply -4 and -16 to get +64. Subtract 24 to get:
y = 40