Complete Question:
The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
Answer:
[tex]y = \frac{1}{3}x[/tex]
Step-by-step explanation:
From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]
First, we calculate the slope of the above points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (3,1)[/tex]
[tex]m = \frac{1 - 4}{3 - 2}[/tex]
[tex]m = \frac{-3}{1}[/tex]
[tex]m = -3[/tex]
Also; from the question, we understand that the line segment is perpendicular to the above points.
This slope (m2) of the line segment is calculated as:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute -3 for m
[tex]m_2 = -\frac{1}{-3}[/tex]
[tex]m_2 = \frac{1}{3}[/tex]
Lastly, we calculate the equation of the line using:
[tex]y - y_1 = m_2(x - x_1)[/tex]
The line segment has a midpoint at (3, 1)
So:
[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]
Open bracket
[tex]y - 1 = \frac{1}{3}x - 1[/tex]
Add 1 to both sides
[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]
[tex]y = \frac{1}{3}x[/tex]
Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]
Answer:
A. y = One-thirdx
Step-by-step explanation:
2020 Edge
The total weight
of 25 books is 125
pounds. How many
pounds would 70
books weigh?
70 / 25 = 2.8
125 * 2.8 = 350
therefore 70 books would be 350 pounds
WILL GIVE BRAINLIEST a card is picked from the following card find the probability that the card drawn is purple
Answer: 2/7
Step-by-step explanation: if there are 7 cards and two of them are purple, we can show this as 2/7
What is 3x-2y=24 in slope intercept form??
this doesn't make sense how do you find the y and x and slope
Answer: 3x-2y=24 in slope intercept form is [tex]y=\frac{2}{3}x -12[/tex]
The graph of the equation is in the attachment
Step-by-step explanation: Slope intercept form is y = mx + b
m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.
You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.
3x - 2y = 24 Standard form. Subtract 3x from both sides.
-2y = -3x + 24 divide both sides by -2
-2y/-2 = -3x/-2 + 24/-2 . Simplify.
y = 3x/2 - 12 .
To clarify the slope as a fraction
[tex]y=\frac{2}{3}x -12[/tex]
2. What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the
initial deposit is $1000?
O $1300.50
N.
O $1020.11
O $1012.52
O $1348.07
Answer:
You deposit $1000 in a savings account that earns ... Balance at. End of Year. = Principal + Annual. Interest. = $1000 + $1000(0.06) ... balance in an account that earns interest compounded annually after t years. P = Principal (initial deposit) ... 15. 4.8. —. 12. 16. 268.68 ⋅72. 17. MULTIPLE CHOICE Which graph represents ...
Step-by-step explanation:
What is the perimeter of JKLM?
Answer:
45
Step-by-step explanation:
∡L ≅ ∡M, given
ΔKLM is isosceles because base angles are congruent
KM ≅ KL and KM = KL
KL = 12
∡K =∡J = 60°, given
∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°
∡M = 60
∡K =∡J =∡M = 60°
ΔKJM is is equilateral because all angles have the same measure.
KM = 12
KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal
ML = 9, given
The perimeter of JKLM is the sum of the sides
P = ML +KL +KJ +MJ
P = 9 + 12 + 12 +12 = 9 +36 = 45
Hopes you can help me.
happy holidays. Okay Byeeee.
Merry XMAS.
Question in the above attachment.
Answer:
its b bit.3-4√5let as assume on the contrary that 3-4√5 is rational.3-4√5 = p/q ( p and q are integers )4√5 = p/q - 34√5 = p - 3q /q √5 = p - 3q / 4q............... see image plz........merry Christmas....Can y'all please help with this.....will give brainliest :)
Answer:
Concept: Algebraic Representation
4550 < n < 45704500 < n < 4700Pete walker further than Naomi a. 110 < x < 130b. 1.22 < x < 1.26c. 0.0084 < x < 0.0154Step-by-step explanation:
hi Pinku let's talk I want u to be ur true friend
A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The Cheerleading squad wants to raise $500. Let x represent aluminum cans and y represent plastic bottles. Use this description to answer all questions in this section.
Question:
(a) Write a linear equation that describes the problem
(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?
Answer:
a. [tex]0.10x + 0.05y = 500[/tex]
b. 2000 cans
Step-by-step explanation:
We have the following:
[tex]Cost = \$0.10[/tex] per aluminum
[tex]Cost = \$0.05[/tex] per plastic bottle
[tex]Total = \$500[/tex]
Solving (a): The linear equation.
If 1 aluminum can costs $0.10,
x cans would cost $0.10x
If 1 plastic bottle costs $0.05,
y bottles would cost $0.05y
Total Cost:
[tex]Aluminum + Plastic = Total[/tex]
[tex]0.10x + 0.05y = 500[/tex]
b.
If y = 6000.
Solve for x
We have:
[tex]0.10x + 0.05y = 500[/tex]
Substitute 6000 for y
[tex]0.10x + 0.05* 6000 = 500[/tex]
[tex]0.10x + 300= 500[/tex]
Collect Like Terms
[tex]0.10x = 500 - 300[/tex]
[tex]0.10x = 200[/tex]
Solve for x
[tex]x = 200/0.10[/tex]
[tex]x = 2000[/tex]
HELPPPPP!!!!!!!!!!!!
Answer:
C
Question:
can i get brainlyist.
Complete an error analysis for each of the questions below.
Answers:
1) The errors that were made in this expression are that [tex](-\frac{1}{4})[/tex] was converted to [tex](-\frac{1}{12})[/tex] incorrectly when it’s supposed to convert to [tex](-\frac{3}{12})[/tex], [tex]\frac{2}{3}[/tex] was also converted to [tex]\frac{2}{12}[/tex] incorrectly when it’s supposed to convert to [tex]\frac{8}{12}[/tex], an order of operations step was done wrong when [tex](-\frac{1}{12})+\frac{2}{12}[/tex] were added, but they are not supposed to be added since the brackets are supposed to be done first, and another order of operations step was done wrong when [tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{3}[/tex] were divided, but they are not supposed to be divided because the brackets were removed when they’re supposed to be kept and solved first.
2) The errors that were made in this expression are that an order of operations step was done wrong when [tex]-\frac{15}{40} -\frac{32}{40}[/tex] were subtracted, but they are not supposed to be subtracted since multiplication or division is supposed to be solved first than subtraction or addition, [tex](-\frac{4}{5} )[/tex] was not flipped when the symbol was changed from division to multiplication when it’s supposed to change to [tex](-\frac{5}{4} )[/tex], and another order of operations step was done wrong when [tex]\frac{3}{10}[/tex] × [tex](-\frac{4}{5})[/tex] were multiplied, but they are not supposed to be multiplied because [tex]-\frac{47}{40}[/tex] × [tex]\frac{3}{10}[/tex] are supposed to be solve first since the expression needs to be solved from left to right.
Now create two of your own showing common errors that are made, and explain why you think these are the common errors:
In the image below ↓
Find the exact length of the third side.
Answer:
x = √51
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
Leg a = x
Leg b = 7
Hypotenuse c = 10
Step 2: Solve for x
Substitute: x² + 7² = 10²Isolate x term: x² = 10² - 7²Exponents: x² = 100 - 49Subtract: x² = 51Isolate x: x = √51A LITTLE HELP HERE PEOPLE BTW IF UR RIGHT BRAINLIST IT IS........
Two stores have movies to rent.
The first store charges a $5 per-month membership fee plus $2.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.
How many movies would you have to rent in order for the cost to be the same at both stores?
Answer: 5 +2.5n=3.5n You need to calculate n.
Step-by-step explanation:
PLEASE helppppp!!!
A group of students and teachers are going on a field trip. One-ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?
Answer:
3 buses
Step-by-step explanation:
Total number of students=1
1/9 =1/3of the school bus
1=?
(1*1/3)÷(1/9)= 3 buses
If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is
Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week.
Answer:
10000
Step-by-step explanation:
Which equation would help you find the missing side length in the right triangle shown?
Mr.paul can peel 300 coconuts in 1 hour. How many coconuts will he peel in 1 minute?
Answer: 5 coconuts
Step-by-step explanation:
There are 60 minutes in 1 hour
300/60=5
Answer:
5
Step-by-step explanation:
300/60= 5 per min
HELPP ME PLEASEEEEEE
Answer:
4
Step-by-step explanation:
=1/2×8
=4
Hope this helps u....
Answer:
1/2 ÷1/8
i.e 1/2×8
= 2÷8=4
How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
E3: Amab sells an article to Vivek at a profit of 15% and Vivek sells it to
Sagar at a profit of 10%. If Sagar pays 35060 for the article, what was its
cost price?
Answer:
the cost price is 27,715
Step-by-step explanation:
Let the cost price be x
As Amab sells to Vivek at 15% profit
So the selling price be
= 115 ÷ 100 × x = 1.15x
And Vivek sells to sagar at a profit of 10%
= 1.15x × 110 ÷ 100
= 1.265x
Now sagar pays it for 35,060
So , the cost price be
1.265x = 35,060
x = 27,715
Hence, the cost price is 27,715
The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?
Answer:
17°C
Step-by-step explanation:
temperature rises by 13, so the temperature will be 4+13 = 17°C
Find the slope of the line that contains the points named.
X(2, -1), Y(0, 4)
Answer:
- 4/3 0r - 1 1/3 0r - 1.33333333 ( the 3 keeps repeating)
Step-by-step explanation:
I would suggest to use a table so....
x y
2 0
-1 4
from 0 to 4 you add 4
from 2 to -1 you subtract 3
so y/x
4/-3 = - 1 1/3 or - 1.333333
Hope this helped a little!
Answer:
actually the answer is -5/2
Step-by-step explanation:
what does f(-3)= ? .
Answer:
10
Step-by-step explanation:
Answer:
12
f = function
your functions are the 1st box and your outputs are the second box
helpmepleasethankyou:)
Answer:
Step-by-step explanation:
If we take 1 cup of Original purple paint,
Ratio of blue and red paint = 2 : 3
Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups
Similarly, ratio of blue and red paint in the New purple paint = 5 : 7
If we take 1 cup of New purple paint,
Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups
Therefore, shade of both the mixtures will not be same.
Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!
Simplify (5 ^1/3)^3
A. 5
B. 5^9
C. 1/5
D. 5^3
Answer:
A) 5
Step-by-step explanation:
(5^(1/3))^3=5^(1/3*3)=5^(3/3)=5^1=5
plz help me on math
simplify 1000^8 = 10^w
Answer: 24
i got the same question
Sally has a cube numbered from 1 to 6. She tosses the cube onto the floor 54 times. How many times should she expect it to land on a 4?
Answer:
roughly 9 times
Step-by-step explanation:
each side on a standard 6 sided die has a 1/6 chance of landing. you you multiply (1/6)×54 you would get the answer 9 so theoretically you would get a "4" 9 times