"write an equation of the perpendicular bisector or the segment with endpoints Q(-2,0) and R(6,12). what does y equal?
Answers
Answer:
The equation of perpendicular bisector of QR is:
y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322
Step-by-step explanation:
Given points are:
Q(-2,0)\ and\ R(6,12)Q(−2,0) and R(6,12)
First of all, we have to find the slope of the given line
So,
m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
Here
(x1,y1) = (-2,0)
(x2,y2) = (6,12)
Let m1 be the slope of QR:
Then
\begin{gathered}m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}\end{gathered}m1=6+212−0=812=23
Let m2 be the slope of perpendicular bisector
We know that the product of slopes of two perpendicular lines is -1
\begin{gathered}m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}\end{gathered}m1.m2=−123.m2=−1m2=−1∗32m2=−32
The bisector will pass through the mid-point of QR
\begin{gathered}M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)\end{gathered}M=(2x1+x2,2y1+y2)M=(2−2+6,20+12)M=(24,212)M=(2,6)
Slope-intercept form of equation is:
y = m_2x+by=m2x+b
Putting the value of slope
y = -\frac{2}{3}x+by=−32x+b
Putting (2,6) in the equation
\begin{gathered}6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}\end{gathered}6=−32(2)+b6=−34+bb=6+34b=318+4b=322
So,
y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322
Hence,
The equation of perpendicular bisector of QR is:
y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322
Related Questions
please help my mom is about to ground me
Answers
Answer:
d
Step-by-step explanation:
180-90-40=50
How to:
Add 40+90
Subtract from 180
Escribe una ecuación para una linea que pase por los puntos (3,5) y (6,3). Responder con trabajo de apoyo
Answers
Answer:
y = -[tex]\frac{2}{3}[/tex]x + 7
Step-by-step explanation:
Ambos puntos (3, 5) y (6, 3) están en esta línea.
Sara and liz if your reading this send a screenshot NOW
Answers
yeldyldtrlkrdyyrydkrysykryserorokyseiedtoosoroyr
Which expression is not equivalent to
-3x - 1/2 + 4y?
Answers
Answer:
-3y-3/4+7y+1/4-3x
I hope It's the right answer!
Answer:
the second one is the answer:
-2x - 1/2 + 6y + 3x
Step-by-step explanation:
Miranda has 3 kites. Each kite needs 4 2/3 yards of string. How much string does Miranda need for all 3 kites?
18
14
Answers
Answer:
14 yards of string.
Step-by-step explanation:
Since each kite needs 4 2/3 yards of string and there are 3 kites, we have to multiply 4 2/3 by 3.
So, 4 2/3 × 3 = 14.
Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours
Answers
Answer:
p = 9h
Step-by-step explanation:
:-)
algebra work please help
Answers
Answer:
0.94
because 5 《 x 《 10
=> the average rate of change of the function is
[tex] \frac{0.2(1.4) {}^{10} - 0.2(1.4) {}^{5} }{10 - 5} = 0.94[/tex]
Go to Canvas to watch an instructional video and complete the assignment. After watching the video and uploading the assignment found in Canvas, write a 2-3 sentence reflection sharing a success or challenge you had with this assignment.
Answers
This is simply what I wrote for my assignment, sorry I am a bit late.
It was confusing when she took out the negative and postive pairs, but then I soon knew that the negative tiles are like subtracting positive tiles. Then once she got the total I was amazed with how easy it was to find out the value of x.
hope this helps! <3
What is the slope intercept ?
PLEASE HELP ME ITS URGENT !
Answers
Answer:
y=mx+b
Step-by-step explanation:
that is the equation
Answer:
5 over -3 is the correct answer
Answer the Equation:
I'm just too lazy to do it
8-7x-14=
Answers
Answer:
-7x - 6 i think
Step-by-step explanation:
-7x
8-14=6
Answer:
-196
lol your not the only lazy 1
Step-by-step explanation:
3x^2+4x-4
X-Factor Method
Answers
Answer:
[tex](3x - 2)(x + 2)[/tex]
if it takes Anderson 4 minutes to swim 8 laps how many laps per minute is that?
Answers
Answer:
2 laps per minute
Step-by-step explanation:
4/4= 1(minute)
8/4= 2(laps)
Therefore, it is 2 laps per minute
what fraction is equivalent 4/4
Answers
Answer:
the answer is one
Step-by-step explanation:
1.......
Answer:
A fraction like 4/4 is called an "improper fraction". An improper fraction is one in which the numerator (the top number) is greater than or equal to the denominator (the bottom number). Another example of an improper fraction is 8/7 in which the numerator, 8, is greater than the denominator, 7.
Step-by-step explanation:
What kind of sequence is this? –38, –44, –50, –56
Answers
Answer:
-6n-32
Step-by-step explanation:
Answer:
The answer is a arithmetic. HOPE THIS HELPED !!!!
Step-by-step explanation:
-38 is your starting number and if you add -6 it equals -44. And -44 plus -6 equals -50, and so on. Your welcome !
Jillian buys 3.6 meters of fabric. The fabric costs $5.75 for each meter.
How much does Jillian spend for the fabric?
A. $9.35
B. $17.25
C. $18.57
D. $20.70
Answers
Total amount spend by Jillian for the fabric is $20.7.
What is division?Division is a process of splitting a number into two or more equal parts.
Given is that Jillian buys 3.6 meters of fabric. The fabric costs $5.75 for each meter.
Assume that Jillian spend ${x} for the fabric.
Total length of fabric bought by Jillian = 3.6 meters
Cost of 1 m of fabric = $5.75
So, we can write the total cost of fabric as -
x = 3.6 x 5.75
x = 20.7
Therefore, total amount spend by Jillian for the fabric is $20.7.
To solve more questions on division, visit the link below-
https://brainly.com/question/15381501
#SPJ3
Consider the polynomial 9x2 – 16.
What is the value of ac?
What is the value of b?
What two numbers multiply to get ac and add to get b?
The factored form of 9x2 – 16 is
Answers
Step-by-step explanation:
The value of ac together is 16(9x^2) or 144x^2
The value of B is zero since there is no B
(b is x, ( note not x^2, but only 1x)
Answer:
What is the value of ac? -144
What is the value of b? 0
What two numbers multiply to get ac and add to get b? -12 and 12
The factored form of 9x² - 16 is (3x-4)(3x+4)
Step-by-step explanation:
Dude trust me
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answers
Answer:
13 1/3 pounds
Step-by-step explanation:
Hi! Each bad weighs 2 2/3 pounds. There were 5 bags bought so we multiply. Here is the expression:
2 2/3 x 5 = x
Now we need to convert 2 2/3 into an improper fraction, which is 8/3.
Easy! Now
8 5 40
- x - = -
3 1 3
*I tried to set it up like fractions.*
Simplify 40/3 and you get 13 1/3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
uh
Step-by-step explanation:
Answer:
wtffffffffffffffffffff
Simplify: 1 + 2 x (8(3 - 2)) + 7 *
Answers
Answer: 16x + 8
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
1 + 2 x (8(3 - 2)) + 7
1 + 2 x (24 - 16) + 7
1 + 2 x (8) + 7
1 + 16 + 7
17 + 7
24
3x - 2y = 7
[? ]x
y =
Answers
Your mum and your dad should help you with this
help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I will mark brainliest for correct answer!!!!!!!!!!!
If a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer.
Answers
Answer:
Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)
Step-by-step explanation:
Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)
Answer:
12 to be the answer
Step-by-step explanation:
I
show work if can
Simplify the expression:
(3g - 8) - (2g - 1)
Answers
Answer:
g+-7
Step-by-step explanation:
Let's simplify step-by-step.
3g−8−(2g−1)
Distribute the Negative Sign:
=3g−8+−1(2g−1)
=3g+−8+−1(2g)+(−1)(−1)
=3g+−8+−2g+1
Combine Like Terms:
=3g+−8+−2g+1
=(3g+−2g)+(−8+1)
=g+−7
Answer:
[tex]g - 7[/tex]
Step-by-step explanation:
1. Remove parentheses.
[tex]3g - 8 - 2g + 1[/tex]
2. collect like terms.
[tex](3g - 2g) + ( - 8 + 1)[/tex]
3. Simplify.
[tex]g - 7[/tex]
therefor, the answer is g - 7
what is the gradient between (0,3) and (1,8).
Answers
Step-by-step explanation:
Given
(x1 , y1) = ( 0 , 3)
(x2 , y2) = ( 1 , 8)
Now
Gradient =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{8 - 3}{1 - 0} \\ = \frac{5}{1} \\ = 5[/tex]
Hope it will help :)
Mary has a recipe that requires 9 1/2 cups of juice. She knows that 1 cup = 8 ounces how manny ounces dose she need
Answers
1/6 - 3/9 - 3/8 ayúdenme plis
Answers
Answer:
-39/72 ó -13/24
Step-by-step explanation:
las fracciones convertidas son 12/72 - 24/72 - 27/72
Which boxes do I select?
Answers
Answer:
4th box
Step-by-step explanation:
What is the answer plz help
Answers
I have to find slope-intercept equation
Answers
Answer:
y = 4x - 9
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
the y-intercept is when the line crosses the y axis, and in this case we can see it at "-9"
The slope we can do rise over run "r/r" ot "y/x"
r/r = 4/1 = 4
The line is positive since its going up
y = 4x - 9
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find the value of 4x +3y when x = 13 and y = 9
Answers
Answer:
the answer is 79
Step-by-step explanation:
hoped I helped:)
Calculate the value of each expression
(-8) × 2/3=?
(-8)× (-2/3)=?
-18/3=?
18/(-3)=?
(-18)/(-3)=?
Answers
Answer:
1)-8×2/3
=-24×2/3
=-48/3
=-16
2)(-8)x(-2/3)
=-24×-2/3
=48/3
=16
3)-18/3
=-6
4)18/-3
=-6
5)-18/-3
=6