Answers
Given:
End points a line segment are (9,-8) and (-1,-4).
To find:
The equation of perpendicular bisector of given line.
Solution:
Slope of given line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]
[tex]m_1=\dfrac{-4+8}{-10}[/tex]
[tex]m_1=\dfrac{4}{-10}[/tex]
[tex]m_1=-\dfrac{2}{5}[/tex]
Product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex](-\dfrac{2}{5})\times m_2=-1[/tex]
[tex]m_2=\dfrac{5}{2}[/tex]
So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].
Perpendicular bisector passes through the midpoint of given endpoints.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]
[tex]Midpoint=\left(4,-6\right)[/tex]
So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]
[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]
[tex]y+6=\dfrac{5}{2}x-10[/tex]
[tex]y=\dfrac{5}{2}x-10-6[/tex]
[tex]y=\dfrac{5}{2}x-16[/tex]
Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].
Related Questions
Please may someone help me on the following question -Thank you!
4a + x = 3b
Make x the subject of the formula
Answers
Answer:
x= 3b- 4a, a€R, b€R
Step-by-step explanation:
1. Move variable to the right-hand side and change it's sign.
2. Write the solution X in parametric form.
if you were given the following statements write your conclusion
if you are given :
Answers
Step-by-step explanation:
This means that Angle EBA = Angle EBC.
A jar contains 4 coins, a penny, a nickel, a dime and a quarter. If 2 coins are selected, how
many different amounts of money are possible?
Answers
Answer:There are 6 possible amounts.
Step-by-step explanation:
It's 4 Choose 2 meaning 4 coins choosing two which translates to 4C2 on your calculator
Describe and correct the error made in finding BC in the diagram
Answers
Answer:
AC is not equal to BC
AB=BC
Your high school is having a competition where students have to guess how many candy canes are in a jar. The tens digit is 4 more than twice the ones digit. The sum of the digits is 4. How many candy canes are in the jar
Answers
Answer:
40
Step-by-step explanation:
let ones be x
tens is 4 + 2x
4 + 2x + x = 4
3x = 0
x = 0
tens is 4 + 2*0
tens = 4
40 candy canes
.2
Simplify the expression
-9 + 2.5y - 0.7y + 1 + 6.4y^2
Answers
Answer:
6.4y^(2)+1.8y-8
Step-by-step explanation:
got it right edge 2020
Absolute wizards of y'all can figure this out
Answers
Answer:
B. 39
Step-by-step explanation:
45 - 4 + 2 - 7 - 1 + 3 + 1
39
Answer:
B would be the answer because
Step-by-step explanation:
I did the whole thing to the right answer
45-4=4141+2=4336-1=3535+3=3838+1=39Hence, the answer is 39 and the only answer on your quiz is B so your answer would be and always well be B (39)
James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 worth of tickets.
How many tickets for adults did James sell?
PLEASE HELP!!!!!
Answers
Answer:
Adults = 300
Step-by-step explanation:
I have 300 beads.My sister has 60 more beads than I do.How many beads do we have altogether
Answers
660 beads
I have 300
My sister has 360
300+ 360= 660
please solve for x
x+19=-9
Answers
Answer:
x=-28
Step-by-step explanation:
Answer:
x=-28
Step-by-step explanation:
According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?
Answers
Answer:
60 miles
Step-by-step explanation:
So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.
if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:
1 4
- = - = 60 = x
12 x
If x equals 60, that means that 4 inches equals 60 miles on the map.
You could also just find an equal fraction by multiplying the top and bottom both by 4.
The miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given data:
According to the scale on a map, 1 inch on the map = 12 miles
Calculate the miles as shown below,
Miles in 4 inches on the map = 4 × miles in 1 inch on the map
Miles in 4 inches on the map = 4 × 12 = 48 miles,
Therefore, the miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
find the profit or loss of the following:
CP=Rs 300, SP= Rs 832
Answers
Answer:
Profit of 532
Step-by-step explanation:
Since the SP is more than the CP then there is a profit
profit = SP - CP = 832 - 300 = 532
pls help with this asap
Answers
Find the slope of the line that passes through (10, 10) and (3, 1).
Answers
Answer:
-7/-9 pretty sure
Step-by-step explanation:
x2-x1
y2-y1
3-10= -7
1-10= -9
Plase help me it would be helpful
Answers
Answer:
I believe drink A
Step-by-step explanation:
because it has more sugar in less ounces
Answer:
Drink A
Step-by-step explanation:
hi guys can you help me with this maths calculation
$36 - $17.85 =
Answers
Answer and Step-by-step explanation:
36 dollars minus 17.85 dollars equals $18.15, or 18 dollars and 15 cents.
All you have to do is subtract 36 by 17.85
36 - 17 = 19
100 - 85 = 15
1 is subtracted from 19 because of the decimal.
18.15
#teamtrees #WAP (Water And Plant)
Convert 9 months into days
Answers
Answer:
273.75
Step-by-step explanation:
Find the slope between the points (-3, -5) and (7, -1)
Answers
Answer:
m = 2 /5
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
6 is the slope im pretty sure. i followed the slope formula rise over run
( y2-y1 / x2-x1 ) and got 6
A term without a variable is called what?
Answers
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
Solve -17 =
7 / 3 for x.
Answers
ANSWER PLSSS!!!!!!
What is Ann's speed at 7 mins? give a reason to support your answer
Answers
Answer:
40 Miles per hour
Step-by-step explanation:
The answer is in the graph.
Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help
Answers
Answer:
S= 121
HJ= 150
Step-by-step explanation:
pop quiz?
The following equation is an example of a literal equation.
2(z + a) = 46
A Solve the glven equation for the variable a. In your final answer, Include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.
Answers
Answer:
a)
[tex]a=23-z[/tex]
b)
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
Step-by-step explanation:
a) Solving the equation
Given the expression
[tex]2\left(z+a\right)=46[/tex]
Divide both sides by 2
[tex]\frac{2\left(z+a\right)}{2}=\frac{46}{2}[/tex]
simplify
[tex]z+a=23[/tex]
subtract z from both sides
[tex]z+a-z=23-z[/tex]
[tex]a=23-z[/tex]
Thus, the value of a:
[tex]a=23-z[/tex]
b) Work Process
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)
Answers
Answer:
It is 4x + 12
expand the bracket :
4 * x = 4x
4*3= 12
4x+12
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
Answers
explaining-
The lines don’t go through eachother on D
help and ill give brainliest
Answers
Answer:
10
Step-by-step explanation:
The band gets 1/2 of the total amount of water. The total amount collected is twice as much as what the band gets. Multiply 5 by 2 to get 10
Brainliest Please
Happy Holidays
What the length of a rectangle's side (height) that is 10 cm wide and It's diagonal is 18.03 cm long?
Answers
Answer:
The height of a rectangle's side is 15 cm tall.
Step-by-step explanation:
You can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
The hypotenuse represents the c. One the diagram, the hypotenuse represents the diagonal. The letters a and b represents the sides (just not the diagonals).
Let's plug in.
[tex]{a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {10}^{2} = {18.03}^{2} \\ {a}^{2} + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^{2} = \sqrt{225.0809} } \\ a = 15.00[/tex]
Therefore, its 15 cm.
At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza?
Answers
Answer:
There were 5 toppings on his pizza.
Step-by-step explanation:
From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:
c=17.50+2.35x, where:
c is the total cost
x is the number of toppings
Now, you can replace the total cost with $29.25 and solve for x:
29.25=17.50+2.35x
29.25-17.50=2.35x
11.75=2.35x
x=11.75/2.35
x=5
According to this, the answer is that there were 5 toppings on his pizza.
Which type of transformation is the only one of the four that is not a rigid motion and other words which type of transformation involves the size changing a or a a rotation or a dilation or a a translation ot a reflection
Answers
Step-by-step explanation:
Dilation changes the size of the shape and is not a rigid motion.
Answer:
Dilation changes the size of the shape and is not a rigid motion.
explanation:
Hope it's answer you plz mark as Brainlist
Whats The Answer Can you please explain? MATH..
Answers
Answer:
d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Because the world less than would be subtract.
Hope it was correct I'm so sorry if I wasn't.
Glad I could help tho!
