"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
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.
help please, i don’t get this question .
Answers
Tax on sale price is- $3.50
Final cost with discount and tax- $73.50
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
Answer the following.
(a) A certain solution has a hydrogen ion concentration of 0.0000448 moles per liter. Write this number in scientific notation.
Answers
Answer:
35554555
Step-by-step explanation:
helppp asap pleaseeeeee
Answers
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:
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
PLz, help I really don't understand these problems at all.
Click here to see the screenshot
Answers
Answer:
1. $65,000
2. A 4 and 2 mile hike
3. B 4.00
4. C multiplication
Step-by-step explanation:
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 = 45.36Find 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
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!
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
Help 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
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
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
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
Please help right now why no one is answering me
Answers
Answer:
(0,0) .......................
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
Need help on this please help
Answers
Answer:
280m³
i hope this is help for you
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
Divide. Enter the quotient in simplest form.
9/10 divided by 3/8
Answers
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
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
please help
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
And then next would be
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
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
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.
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
Convert: 16 c =________gal
Answers
Answer:
16 cups is 1 gallon
Step-by-step explanation:
because there are 16 cups in a gallon
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?
