Answer:
The coordinates of B is (-8,-5).
Step-by-step explanation:
The midpoint of line AB is M. The coordinate of M is (-6,-4).
The coordinates of A is (-4,-3)
We need to find the mid point of B.
If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :
[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).
[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]
So, the coordinates of B is (-8,-5).
The coordinates of B are (-8, -5).
Given that,
The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),
We have to determine,
The coordinates of B.
According to the question,
The midpoint of line AB is M. The coordinate of M is (-6,-4).
And the coordinates of A is (-4,-3)
If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :
[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
Let the midpoint of B be (x₂, y₂).
M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).
[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]
Solving the equation for the co-ordinate B.
[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]
And,
[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]
Hence, The required coordinates of B are (-8, -5).
To know more about Geometry click the link given below.
https://brainly.com/question/20261153
Find the exponential function of the 2 points (3, 7) and (5, 63). Use
the formula f(x) = a(b)”.
Answer:
We obtained the two exponential functions:
[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex][tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]Step-by-step explanation:
As we know that the exponential function is of the form
f(x) = abˣ
Given the points
(3, 7)(5, 63)We know these points belong to the exponential function.
so substituting the values (3, 7) and (5, 63) in the function
putting (3, 7)
y = abˣ
7 = ab³
also putting (5, 63)
y = abˣ
63 = ab⁵
Considering the 2nd equation
63 = ab⁵
as
[tex]a^b\times \:a^c=a^{b+c}[/tex]
so
63 = ab³×b²
substituting 7 = ab³ in 63 = ab³×b²
63 = 7 × b²
b² = 63/7
b² = 9
b = ± 3
If b = 3
plug in b = 3 in the equation 7 = ab³ to find the value 'a'
7 = ab³
7 = a(3)³
7 = a × 27
a = 7/27
so, a = 7/27 and b = 3 would give us the function
y = abˣ
[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex]
if b = -3
plug in b = -3 in the equation 7 = ab³ to find the value 'a'
[tex]\:7\:=\:a\left(-3\right)^3[/tex]
[tex]a\left(-27\right)=7[/tex]
[tex]a=-\frac{7}{27}[/tex]
so, a = -7/27 and b = -3 would give us the function
y = abˣ
[tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]
Thus, we obtained the two exponential functions:
[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex][tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]A boy had 72 coins and lost 25% of them How muy coins
did he have left?
Answer:
54 coins left
Step-by-step explanation:
72 x .25 = 18
72 - 18 = 54
Answer:
100% - 25% = 75%
72 x 0.75 = 54
He had 54 coins left
Step-by-step explanation:
Ok, to solve this question, first divide 72 by 100--- 72/100=.72
next, multiply .72*25 and u get--- 18
next subtract 72 and 18--- 72-18=54
the answer is the boy has 54 coins left
hope this helps!
Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..
Answer:
All are corrects.
Step By Step Explanation:
It's all the same thing.
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.
Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:
Md = 24 x 60 = 1440 minutes.
Hence, the number of minutes in 365.25 days is given by:
My = 1440 x 365.25 = 525,960 minutes
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
I really need help on this
Answer:
i think its c i could be wrong but just go with your gut felling
Step-by-step explanation:
PLEASE HELP ME I AM BEING TIMED I WILL GIVE YOU BRAINILIEST!!!!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)
Answer:
The family will travel at least 4 days.
Step-by-step explanation:
The inequality would look like this:
350d ≤ 1400
it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.
To solve the inequality, use inverse operations.
350d ÷ 350 ≤ 1400 ÷ 350
d ≤ 4
the family will travel at least 4 days.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What is the equivalent expression for 6x + 18
Which is the answer?
Please help me ASP
Give me a Fraction Mixed number word problem
WORD PROBLEM:
Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?PROBLEM:2 3/4 + 3 4/5A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
Answer:
$25 a lamp
Step-by-step explanation:
First divide $10,000 by 500 lamps to find how much one of them cost
That is $20 a lamp so then multiply .25 *20 or 1/4 *20
you get 5 than add 20 +5=25
The students at Southern Junior high School are divided into four home rooms. Benjamin just moved into the school district and will be randomly assigned to one home room
Answer:
A 4 side dice.
Step-by-step explanation:
Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.
You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
. Mr. Ahmet, who won a prize of 1 million USD by participating in a quiz show, will
provide a significant return if he uses it in repo, time deposit and bonds. However, careful decisions need to be
made as to which area to invest. If the money is deposited in the bank, the bank pays interest once a month and
pays 16% interest. Mr. Ahmet wants to buy 2 houses, one worth 900000 USD and the other 500000 USD, in the
future, by investing this money in the bank. Accordingly, after how long is it possible for Ahmet Bey to buy these
two houses with the money and income he earned? If you were Mr. Ahmet, how would you advise him to use
this money?
Answer:
See below
Step-by-step explanation:
Mr. Ahmet needs:
(900000 + 500000) - 1000000 = 400000more to have enough money to buy those two houses.
Monthly, he gets interest paid:
1000000*0.16/12 = 13333.33Time to have required amount is:
400000/13333.33 = 30 months = 2.5 yearsWithout taking the deposit he would need time:
1400000/13333.33 = 105 months = 8 years and 9 months to buy two housesHe could wait and use the interest to buy houses provided they will still be available and price remains same.
Please help answer the first 2 boxes for brainslt
> for brainslt
y=mx+b
From a Graph:
m=3/2 b=3
Equation: y=3/2x+3
Non-Proportional
Negative Slope
2nd From a Graph:
m=5/2 b=4
Equation: y=5/2x+4
Non-Proportional
Negative Slope
Define a variable, write an inequality, and solve: A number decreased by 7 is at least 15.
Answer:
x is greater than it equal to 22
Step-by-step explanation:
Have a nice day! xoxo Arael :)
The mean of the numbers 15,21,17,26,18 and 29 is 21. Calculate the standard deviation.
Answer:
4.62910049578
Step-by-step explanation:
variation is standard deviation squared
variance = 21.428571428571
square root variance for answer.
Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1
Answer:
The volume of the region V = 2
Step-by-step explanation:
Given that:
[tex]z_1 = 3y^2[/tex] ;
where initially;
[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]
The volume of the region is given by a triple which is expressed as:
[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]
[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]
V = 2
Thus, the volume of the region is 2
Does anyone know the answer?
Helpppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
c and e is not polynomials
The length of a rectangle is (x+3)cm. If the width of the rectangle is two thirds its length and the perimeter is 27cm,find its area
Answer:
[tex]A = 43.74[/tex]
Step-by-step explanation:
Represent Length with L, Width with W and Perimeter with P
[tex]P = 27[/tex]
[tex]L=x+3[/tex]
[tex]W = \frac{2}{3}(x + 3)[/tex]
Required
Determine the Area
From the perimeter, we need to solve for x;
[tex]P = 2(L + W)[/tex]
Substitute values for P, L and W
[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]
[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]
Collect Like Terms
[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]
[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]
[tex]27 = 2(5 + \frac{5x}{3})[/tex]
Open bracket
[tex]27 = 10 + \frac{10x}{3}[/tex]
Collect Like Terms
[tex]27 - 10 = \frac{10x}{3}[/tex]
[tex]17= \frac{10x}{3}[/tex]
Solve for x
[tex]x = \frac{3*17}{10}[/tex]
[tex]x = \frac{51}{10}[/tex]
[tex]x = 5.1[/tex]
The Area is then calculated using:
[tex]A = L * W[/tex]
[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]
[tex]A = \frac{2}{3}(x+3)^2[/tex]
Substitute 5.1 for x
[tex]A = \frac{2}{3}(5.1+3)^2[/tex]
[tex]A = \frac{2}{3}(8.1)^2[/tex]
[tex]A = \frac{2}{3}*65.61[/tex]
[tex]A = \frac{2*65.61}{3}[/tex]
[tex]A = \frac{131.22}{3}[/tex]
[tex]A = 43.74[/tex]
Hence, the area is [tex]43.71cm^2[/tex]
According to an accepted chemistry reference, the
heat of vaporization of water is 540 calories per
gram. A student determined in the laboratory that
the heat of vaporization of water was 620 calories
per gram. The student's results had a percent error
of
Answer:
14.8%
Step-by-step explanation:
Step 1: Given data
True value for the heat of vaporization of water (ΔH°vap(T)): 540 cal/g
Experimental value for the heat of vaporization of water (ΔH°vap(E)): 620 cal/g
Step 2: Calculate the experimental percent error
To determine the experimental percent error we will use the following expression.
%E = |ΔH°vap(T) - ΔH°vap(E)|/ΔH°vap(T) × 100%
%E = |540 cal/g - 620 cal/g|/540 cal/g × 100%
%E = 14.8%
kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by -7 3/4c. then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c. How many cups of gumbo are left in the pot?
please answer quickly!!!!!!!
Answer:
29 1/2-7 3/4 is 21.75
Then 21.75-1/2 is 21.25
Step-by-step explanation:
There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.
His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].
So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).
= (59/2 - 31/4).
= (118 - 31)/4.
= 87/4c of gumbo soup.
Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.
= (87/4 - 13/2)c.
= (87 - 26)/4c.
= 61/4.
= [tex]15\frac{1}{4}[/tex]c of gumbo soup.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
the perimeter of a rectangle is 72 ft. the ratio of the length to width is 5:4. what are the dimensions of the rectangle?
Answer: 20 by 16
Step-by-step explanation:
5:4 OR 5x:4x
Perimeter = 2(l x w)
P = 2(5x x 4x)
P = 10x + 8x = 18 x
18x=72
x=4
5 x 4 = 20
4 x 4 = 16
Which is the graph of arctan(x)?
Answer:
The Inverse Tangent Function (arctan)
Graph of y = tan x.
The graph of arctan(x) is second graph.
We have inverse function [tex]y=tan^{-1} x[/tex]
Creating the table
x 0 π/4 π/2 -π/2 -π/3 π/3
y 0 1 ∞ -∞ -√3 √3
From the given graphs we see that the second graph satisfies the values.
So, the correct graph for arctan(x) is second graph.
Learn more:https://brainly.com/question/2849972
PLEASE HELP ME!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)
Answer:
[tex]350 * D \geq 1400[/tex]
[tex]D\ge 4[/tex]
This means that the family must travel for at least 4 days.
Step-by-step explanation:
Given
[tex]Rate = 350\ miles\ daily[/tex]
[tex]Distance = 1400\ miles\ (atleast)[/tex]
Required
Determine and solve the inequality
The number of days is represented with D
So:
On any D number of days, the family would have covered a distance of 350 * D miles
If the total distance is at least 1400, then the inequality is:
[tex]350 * D \geq 1400[/tex]
[The term "At least" is used to represent greater than or equal to]
[tex]350 * D \geq 1400[/tex]
Divide through by 350
[tex]\frac{350 * D}{350} \ge \frac{1400}{350}[/tex]
[tex]D \ge \frac{1400}{350}[/tex]
[tex]D\ge 4[/tex]
This means that the family must travel for at least 4 days.
14 compact cars at 56% of cars sold that day
Answer:
4
Step-by-step explanation:
the 7s in 7,700 what is the value of the given digits
Answer:
the first 7 has a value of 7,000 while the second 7 has a value of 700
You employ 21 people making an average of $49,000 per year. You want to give every employee a 5% increase for next year. What will be the total increase in your company's annual payroll?
a) $48.000
b) $50,085
c) $51,450
d) $54,250
Answer:
c) $51,450
Step-by-step explanation:
Current payroll:
21 * 49000 = $1,029,000
Payroll after 5% increase:
1029000 * 1.05 = $1,080,450
Difference between after increase and current payroll:
1080450 - 1029000 = $51,450
Find the midpoint of the segment with the following endpoints.
(2, -4) and (6. – 10)
Answer:
midpoint (4,-7)
Step-by-step explanation:
please see work attached where you utilize the midpoint formula.
please give thanks :)
Answer:
[tex](4,-7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint (2, -4)
Endpoint (6, -10)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{2+6}{2},\frac{-4-10}{2})[/tex]Add/Subtract: [tex](\frac{8}{2},\frac{-14}{2})[/tex]Divide: [tex](4,-7)[/tex]Olivia drinks 64 ounces of water every day. At breakfast, she drinks 16 ounces. What percentage of water does she drink at breakfast?
Answer:
25%
Step-by-step explanation:
16/64 = .25 x 100 = 25%
