The equation of the perpendicular bisector of the segment with endpoints (3,7) and (-1,-5) is y = -1/3x + 4/3.
What exactly is a perpendicular bisector?A triangle's perpendicular bisectors are lines that pass through the midpoint of each side and are perpendicular to the given side.
Here,
Given :
The perpendicular bisector is the line that passes through the midpoint and has an opposite-reciprocal slope.
The GH slope is:
m = (-5-7)/(-1-3)=-12/-4-3
The slope of a perpendicular line is: -1/m = -1/3
The GH midpoint is:
x=(3-1)/2=2/2=1
y= (7-5)/2=2/2=1
The slope of the line that passes through point (1, 1) is:
In point-slope form, 9-1-1/3(x-1) And
In slope-intercept form, y = -1/3 + 4/3.
To know more about perpendicular bisector visit:- brainly.com/question/11050543
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What is the slope of the line through the points (2, 5) and (6, 13)?
Answer:
Step-by-step explanation:
Rule: Y2 - Y1 / X2 - X1
m= 13-5 ÷ 6-2
=8/4 =2
Hope it helps! :D
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answer:
x=3
Step-by-step explanation:
51 degrees + (7x+18) degrees = 90 degrees
7x+18=90-51
7x+18=39
7x+18-18=39-18
7x=21
7x/7=21/7
x=3
What are three other names for range. ( This is for algebra)
please help me please do them all its just thrree
Step-by-step explanation:
hope this helps. I worked out then posted.
Can anyone help me please
I’ll mark brainliest.
Answer:
1. his account will be 120
2. 6 weeks
3. Yes, Lala will get 120 in 4 weeks while Andra will get 100
If you wanted to know Andra equation will be y=20x+20
Step-by-step explanation:
Hope this helped
imao help me with zearn
Answer:
4
Step-by-step explanation:
if there are 8 ounces for 2 then there are 4 ounces for 1.
Answer:
with what?
Step-by-step explanation:
2/3 of all your books are fiction. 1/6 of those are historical fiction.
What fraction of all your books are historical fiction?
1/9
1/18
1/3
1/2
Answer:
1/9
Step-by-step explanation:
2/3 x 1/6 = 2/18 or 1/9
Write the equation in standard form for the circle passing through (2,6) centered at the origin.
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Explanation:
The center is the origin, so (h,k) = (0,0).
The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2
(x-h)^2 + (y-k)^2 = r^2
(2-0)^2 + (6-0)^2 = r^2
2^2 + 6^2 = r^2
4 + 36 = r^2
40 = r^2
r^2 = 40
We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.
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Since h = 0, k = 0, and r^2 = 40, we can say:
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 40
x^2 + y^2 = 40
I need help with this
9514 1404 393
Answer:
perimeter: 20 unitsarea: 27.5 square unitsStep-by-step explanation:
We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...
P = 5s = 5(4) = 20 . . . units
__
The area is given by the formula ...
A = (1/2)Pa
where P is the perimeter and a is the apothem--the distance from the center to one side.
The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...
A = (1/2)(20)(2.75) = 27.5 . . . square units
1.309 > 1.315 lololoolollooolllllllllllllllllllll
Answer:
I’m confused on what you want me to do but that is false
Step-by-step explanation:
Answer:
the answer is 1.309<1315
anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?
The number 5/7 can be best described as a(n) _____.
mixed number
improper fraction
proper fraction
Answer:
proper fraction
Step-by-step explanation:
Nope just yours l.ma0.
Solve 4/y=2/11 plz i need answer
If anyone can answer these questions that would help a lot. Besides 13 and 14
What type of decimal is 0.275
A. Repeating Decimal
B. Terminating Decimal
C. Non-Terminating Decimal
D Complex Decimal
Answer:
Complex Decimal.
it is the correct answer.
What is the y-intercept? y = -1/3x + 4
Answer:
4
Step-by-step explanation:
the y intercept is never with another variable, -1/3 would be the slope
please help!! I need help with this math angle stuff
Answer:
A:
1,5
2,6
3,7
4,8
B:
1,8
2,7
C:
3,6
4,5
Answer:
A) 2 & 8 1 & 7
B) 1 & 8 2 & 7
C) 3 & 6 4 & 5
Step-by-step explanation:
While working at a soup kitchen, Roxanne made a pot of vegetable soup to serve 25 people. She made 10 quarts of soup, and gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
2.5 quarts or 5/2
Step-by-step explanation:
Answer:
2/5 quarts or 0.4 quarts
Step-by-step explanation:
there are 25 persons
she made 10 quarts soup
10 quarts / 25 persons = 2/5 quarts = 0.4 quarts
2. Jules conducted a survey and asked 100
people how many years of education they have
and what their annual income is. She used the
results to make a scatter plot.
What type of assoastion should she expect to see in the scatter plot
Consider the system of equations.
8x+2y=8
y= −4x+4
The system has blank solutions.
SELECT CHOICE
no,
infinitely many,
one.
then both equation r same after we re arrange it so no result
Use the following table to find the Rate of Change.
Answer:
x=1 and y= 6
Step-by-step explanation:
and for y its a positive cause their both negitives
are the rates equivalent?
Answer:
No
Step-by-step explanation:
0.3/4= 0.075
0.9/15= 0.016
They aren't equal.
Answer:
no they are not
Step-by-step explanation:
cause I said
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
A rabbit weighs 2.8 kilograms. How many grams does the rabbit weigh? Use the number of zeros of the product when multiplying a number by
power of 10 to help you. (1 point)
2,800 grams
28 grams
28,000 grams
280 grams
Answer:
Option A
Step-by-step explanation:
Given data
We are told that the weight of the rabbit is 2.8 kilograms
We also want to convert from kilograms to grams
We know that 1kg= 1000 grams
Hence 2.8 kg= x gram
Cross multiply
x= 2.8*1000
x= 2800 grams
Hence the weight in grams is 2800grams
Option A is correct
Answer:
it is A
Step-by-step explanation:
2,800
Is -3x+5=-3x+8 infinate many solutions
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
An inlet pipe can fill a water tank in 12 hours. An outlet pipe can drain
the tank in 20 hours. If both pipes are mistakenly left open, how long will
it take to fill the tank?
============================================================
Explanation:
Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.
If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.
At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.
With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.
This means it will take 240/8 = 30 hours to fill the tank with both pipes open.
----------------------------------
Another approach:
The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.
The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30
This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".
If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1
(rate)*(time) = 1 job
(1/30)*x = 1
x = 30*1
x = 30
It takes 30 hours to do the job with both pipes open.
2x-6y=12 and -5x+15y=-30 elimination
Answer:
unsolvable because the second equation is just -2.5 times the first equation.
Step-by-step explanation:
2x-6y=12 then 2x=12+6y x=6+3y
-5x+15y=-30
substitute x
-5(6+3y)+15y=-30
-30-15y+15y=-30
y=y
Which equation is true?
Answer:
i think its the 3rd option
How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?
Answer:
for step of kepp of yours alive
A water bottle costs $9.45. Sales tax is 7%. What is the total cost?
Answer:
$10.11
Step-by-step explanation:
Before Tax Price: $9.45
Sale Tax: 7.00% or $0.66
After Tax Price: $10.11
Answer:
9.46
Step-by-step explanation:
divide 9.45 by .07 then add that to 9.45 and round