"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
help please, i don’t get this question .
Answers
Tax on sale price is- $3.50
Final cost with discount and tax- $73.50
cuál es el resultado de 1/3 + 5/6?
Answers
Answer:
it will be 1 1/6 or 7/6
Step-by-step explanation:
Hope this helped
PLz, help I really don't understand these problems at all.
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Answers
Answer:
1. $65,000
2. A 4 and 2 mile hike
3. B 4.00
4. C multiplication
Step-by-step explanation:
Somone pls help if your good at math I’ll mark brainliest
Answers
(8,6)
STEP-BY-STEP
Answer:
x=5
Step-by-step explanation:
(x--3)²+(4--2)²=10²
(x+3)²+36=100
(x+3)²=64
(x+3)²=8²
x=5
If the mLD = 3x - 8 and mZL = 2x + 17, find the
value of x that would make ZDE ZL.
Answers
Answer:
x = 25
Step-by-step explanation:
For ∠ D and ∠ L to be congruent, then
3x - 8 = 2x + 17 ( subtract 2x from both sides )
x - 8 = 17 ( add 8 to both sides )
x = 25
i need help like really bad
Answers
Answer:
A
Step-by-step explanation:
14/15 is less than 7/5
Answer:
dang me too I'm like almost failing
Need Help 20 points plz.
Answers
9514 1404 393
Answer:
the correct choices are shown
Step-by-step explanation:
Statement . . . . . Reason
1. c ║ d; ∠4 = ∠5 . . . . . Given
2. ∠4 = ∠7 . . . . . Alternate interior angles are equal
3. ∠5 = ∠8 . . . . . Vertical angles are equal
4. ∠7 = ∠8 . . . . . Substitution
Which one is longer?
Aslinky that is 26 inches long
Bslinky that is 2 feet long
C they are equal
Answers
Answer: A.
Step-by-step explanation:
Slinky A is 26 inches there are 24 inches in two feet so slinky B isn’t longer. Then they are obviously not equal because we figured out they have different lengths
HURRYYYYY
What does "Slope-Intercept Form" look
like?
Xb+c=y
y = mx + b
y2 - 71
X2 - X1
AX + By = 2
Answers
Answer:
y=mx+b
Step-by-step explanation:
the second answer
12. Sydney Star bought a new sweatshirt for $42.00. Sales tax was 8%.
After tax, what was the total cost she paid for the sweatshirt? *
$8.00
$38.64
$3.36
$45.36
Answers
Answer:
$45.36
Step-by-step explanation:
100 + 8 = 108
42/100 X 108 = 45.36
100 + 8 = 108
42/100 X 108 = 45.36Help me I need the answer ASAP I’ll give brainliest
Answers
Answer:
number 2
Step-by-step explanation:
4/10 and 10/25 are equal : proportionate
Need help on this please help
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Answer:
280m³
i hope this is help for you
helppp asap pleaseeeeee
Answers
Divide. Enter the quotient in simplest form.
9/10 divided by 3/8
Answers
Which of the following is a reflection of ( 2,4 ) across the x-axis?
a -2, 4
b 2, -4
c 4, 2
d -2, -4
Answers
Answer:
(2,-4)
Step-by-step explanation:
(2,4) is located in Quadrent I (+,+), if you reflect over the x-axis, it would be in Quadrent IV (+,-).
if you dont understand I suggest you draw a coordinate plane on a graphing notebook.
This is my last 8th grade problem, again if you know the answer please interact :)
Answers
Answer:
same slope
parallel lines
Step-by-step explanation:
Evaluate the following expression: 8x - 6 - 7y + 3 use x=3 and y=6
Answers
Answer:
-27
Step-by-step explanation:
8x - 6 - 7y + 3
X = 3 Y = 6
8(3) - 6 - 7(6) + 3
8 x 3 = 24
7 x 6 = 42
24 - 6 - (42 + 3)
(24 - 6) - 45
18 - 45 = -27
what is the equation of the following? Someone could help me to understand this? thank you
Answers
Answer:
y=(1/5)x
Step-by-step explanation:
First, we must find the slope of the line.
The slope of a line can be found using the formula: (y2-y1)/(x2-x1)
(3-0)/(15-0)
(3)/(15)
1/5
The slope is 1/5.
Next we find the y-intercept, or where the line crosses the y-axis. In this case, the y-intercept is 0.
This gives us the equation: y=(1/5)x
Let me know if this helps!
The net of a triangular prism is show below.Find the rotal surface area of the triangular prism 4.6,4,5,15
Answers
Answer:
228.4cm²
Step-by-step explanation:
Find the diagram attached
Total surface area of the prism = Ph + 2B
P is the perimeter of the base (triangle)
h is the height of the prism
B is Base area
P = 5cm + 5cm + 4cm
P = 14cm
h = 15cm
B = 1/2 * base * height
B = 1/2 * 4.6 * 4
B = 4.6 * 2
B = 9.2cm²
Substitute the values into the formula;
Total surface area of the prism = Ph + 2B
Total surface area of the prism = 14(15)+2(9.2)
Total surface area of the prism = 210 + 18.4
Total surface area of the prism = 228.4cm²
Hence the total surface area of the triangular prism is 228.4cm²
Find the value of x in the equation 2(x +1)=14
Answers
Answer:
the x=6
Step-by-step explanation:
2(6+1)=14
2(7)=14
14=14
pls help ;/ not hard btw
Simplify the following and write with positive exponents:
5z-5(3z)-2
Answers
Answer:
[tex] - 10z - 2[/tex]
Step-by-step explanation:
this is simplify
Tori has already jarred 1 liter of jam and will jar an additional 1 liter of jam every day. How
many days does Torì need to spend making jam if she wants to jar 10 liters of jam in all?
Answers
Answer:
9 days.
Step-by-step explanation:
We first subtract the amount already done from the total needed.
10 - 1 = 9.
Next, we take the remainder and divide it by the amount being made per day to get our final answer.
9 / 1 = 9.
The answer is 9 days.
if 3x =9 what is x ?
Answers
Answer:
3
Step-by-step explanation:
All you have to do is divide 9 by 3 and you get 3!
I hope this helps, and have a great day! :)
the answer is 3 hope this helped
What is the equation of the line that passes through the point (-8,-6) and
has a slope of 1/4
Answers
Answer:
y = 1/4x -4
Step-by-step explanation:
Since you know that that slope int. equation is y = mx+b, and the m is the slope just plug in the slope in the equation. So it will be y = 1/4x + b.
Then what you will do is solve for b in the equation. So what you do is plug in the x and y value from the coordinate given in the equation, so it will be like this: -6 = 1/4(-8) +b
-6 = -2 +b
-4 = b
b = -4
So then you plug back the b value into the equation with slope to wtite the equation. So it would be, y = 1/4x -4
Kristin bought a snowboard for $60. The sales tax rate for the snowboard is $0.04 for every dollar spent. How much did Kristin pay in all for the snowboard?
Answers
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it due in a lil bit
Answers
Step by step: it’s asking you to find side BD, which is the adjacent to angle B.
And you know the opposite of angle B is AC or 3 inches.
This operation calls for TOA. T stands for Tan, OA stands for Opposite over Adjacent.
So we would do:
tan 60 = 3/x
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x = 3/tan 60
Then, you probably have a calculator, so on a calculator do 3 divided by 60 and then press tan and press equal. You will get 1.73 which rounds to 1.7
Please help right now why no one is answering me
Answers
Answer:
(0,0) .......................
A tree grows three feet per year. What happens to the growth of the tree when the number of years changes?
O When the number of years increases, the number of feet decreases.
O When the number of years decreases, the number of feet stays the same.
O When the number of years increases, the number of feet increases.
O When the number of years decreases, the number of feet increases.
Answers
Answer:
The tree will keep growing each year 3 feet.
Answer:
Your Answer is When the number of years increases, the number of feet increases
Answer the following.
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Answers
Answer:
35554555
Step-by-step explanation:
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Answers
Answer:
16 cups is 1 gallon
Step-by-step explanation:
because there are 16 cups in a gallon
