Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.
Answers
Answer:
(0, 3)
Step-by-step explanation:
If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)
Let us assume B to be at (x, y), hence:
[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]
Therefore the location of B is (0, 3)
Answer:
(0, 3)
Step-by-step explanation:
Related Questions
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answers
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
Two expressions are shown below. Which of the following is the DIFFERENCE obtained when subtracting expression II from expression I?
I. y2−4xz+z2
II. x2+xz+2y2
A. 3y2−3xz+z2−x2
B. 3y2−3xz+z2+x2
C. −y2−5xz+z2−x2
D. y2+5xz−z2+x2
Answers
Answer:C.
−y2−5xz+z2−x2
Step-by-step explanation:
Took the test got it right
The solution is Option C = ( -y² - 5xz + z² - x² )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Expression 1 = y² - 4xz + z²
Expression 2 = x² + xz + 2y²
Let Expression 1 - Expression 2 = A
To find Expression 1 - Expression 2 = A
A = y² - 4xz + z² - ( x² + xz + 2y² )
By grouping the like terms , we get
A = ( y² - 2y² ) - ( 4xz + xz ) + z² - x²
Therefore,
A= - y² - 5xz + z² - x²
Hence , the solution is ( -y² - 5xz + z² - x² )
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A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second for months. How much did the baby gain in the last four months?
Answers
Answer:
3.25lbs in the last 4 months
Step-by-step explanation:
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answers
Answer:
122
Step-by-step explanation:
Factor the following trinomial completely. Look first for the greatest common factor.
6r^2+14r−12
Answers
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
Factor [tex]6r^2+14r-12[/tex]
[tex]6r2+14r-12[/tex]
[tex]=2(3r-2)(r+3)[/tex]
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
[tex]6r^2+14r-12[/tex]
Start by factoring out the greatest common factor, [tex]2[/tex]:
[tex]2(3r^2+7r-6)[/tex]
Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):
[tex]2(3r-2)(r+3)[/tex]
_
To check:
(Multiply First, Outside, Inner, Last):
[tex]2(3r^2+9r-2r-6)[/tex]
Combine like terms:
[tex]2(3r^2+7r-6)[/tex]
Distribute the [tex]2[/tex]:
[tex]6r^2+14r-12[/tex]
A survey was conducted of students at a highschool and at a college to determine students favorite subjects. The results are shown in the table. What percentage of the students are college students that prefer history?
Highschool-
history(80)
math (50)
science (70)
total(200)
College-
history (70)
math(60)
science (70)
total (200)
History total (150)
Math total (110)
science total (140)
Answers
Answer:35%
Step-by-step explanation:
So I’m not sure this is high school math because i’m still in grade school but...
So what you have to do is make a ratio
so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200
Then you want to do 70 * 200 which then you get a answer of .35
then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%
Hope this helps!
A total of 17.5% of students are college students that prefer history.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Total number of students = 400
Number of college students that prefer history = 70
Percentage is the division of the required number with the whole.
Percentage of students who are college students that prefer history is,
= (70 / 400) × 100
= 17.5%
Hence the percentage of students who are college students that prefer history is 17.5%.
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Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40.00 per month for that chore.
Caleb's parents gave him a used car, and he pays his own insurance, which is $110 per month. His gas and maintenance expenses usually run $65 a month. He also has a cell phone and pays his parents $30 each month for his share of the family plan.
In three weeks, Caleb plans to take a day trip to Six Flags amusement park. His admission will cost $50, and he plans to have $35 for meals and another $50 for incidentals.
Caleb needs to start saving for Christmas, which is in four months, and he usually spends around $200 on gifts for his family and friends. He also would like to buy a new $80 e-reader this month.
Though Caleb's parents will help pay for his college tuition, he knows that in two years, he will have to pay for his books and earn his own spending money. He is estimating that each semester, he will spend $300 on books and $600 on personal needs.
How much are Caleb's regular monthly expenses?
Answers
Answer:
Caleb's net monthly income would be $541.64
Step-by-step explanation:
His monthly take home pay from restaurant is $501.64
Since he earns additional $40 per month for dog walk,
Therefore, his monthly pay would be ;
= $501.64 + $40
Caleb's net monthly income =$541.64
Caleb's monthy regular expenses including car insurance and books is
$355.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
From the given information, The total net earnings of Caleb is,
= $(501.64 + 40).
= $541.64.
Now, The expenses for Car insurance, Gas, and cell phone recharge is,
= $(110 + 65 + 30).
= $205.
Again, For books and personal needs, he have to spend $(300 + 600).
= $900.
Monthly it is,
= 900/6.
= $150.
Therefore, Caleb's regular expenses is,
= $(205 + 150).
= $355.
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PLEASEEE HURRY!!! And please show work thank youuu
Answers
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.
Answers
Answer:
y = 6 + x
Step-by-step explanation:
Membership fee = $6
Fee per visit = $1
Let
x = number of visits
y = Total cost
Total cost = fixed cost + variable cost
Fixed cost = Membership fee = $6
Variable cost = Fee per visit × number of visits
= $1 * x
= $x
Total cost = fixed cost + variable cost
y = $6 + $x
y = 6 + x
Write 2.08 x 10^2 in standard form.
Answers
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
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Think about the methods you have for comparing two probabilities to decide which is greater. In your Learning Log, create an example and explain two different strategies for comparing probabilities. Title this entry "Comparing Probabilities" and label it with today's date.
Answers
Answer:
Step-by-step explanation:
Probabilities are basically values determining how likely something is to happen. These values are usually represented in fractions or percentages which are the two main strategies as well for comparing probabilities. For comparing probabilities through fractions we would try to make sure the denominators are equal and then compare the numerators. The higher numerator is the probability with the highest chance of something happening. For example...
[tex]\frac{3}{4} > \frac{1}{4}[/tex] ... 3/4 is a much higher probability than 1/4
The second strategy would be using percentages in the same way. The higher percentage is the one with the highest probability while the lower percentage is the one with the lower probability.
96% > 54%
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answers
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
856 divided by 57 somebody please help?
Answers
Answer:
15.0175439
Step-by-step explanation:
856/57 = 15.017
Please tell me if it is correct! :)
A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden
Answers
Answer1/2(8x15)=60ft2
Step-by-step explanation: hope this helps you
The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.
What is the area of a triangle?The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.
The area of the triangle will be calculated as,
Area = 1/2 x 15 x 8
Area = 15 x 4
Area = 60 square feet
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What is the value of 120?
Answers
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *
Answers
Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]
1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?
Answers
Answer:
It depends on how many teacher has
Step-by-step explanation:
52 children divided by number of teacher
A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answers
Answer:
[tex]\displaystyle v=46.07\ Km/h[/tex]
Step-by-step explanation:
Speed
The speed is the ratio between the distance x traveled by an object and the time t taken.
[tex]\displaystyle v=\frac{x}{t}[/tex]
The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:
[tex]t = 56 / 60 = 0.933\ h[/tex]
Now apply the formula:
[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]
Kayla wanted to buy a sweatshirt. The original price was $45. When she went to the store the sale price was $37. What is the percent discount on the sale price?
can someone explain how to solve this question.. it would mean a lot to me, thanks :)
Answers
Answer:
you would need to cross multiply 37/45 = x/100
Step-by-step explanation:
The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent.
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answers
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
what is y=3x^2+24x+45
Answers
y = 3x^2 + 24x + 45
y = 3 (x^2 + 8x + 15)
y = 3 (x + 3) (x + 5)
Vertex Form:
y = (3x^2 + 24x )+ 45
y = 3 (x^2 + 8x) + 45
y = 3 (x^2 + 8x + 16) + 45 - (16•3)
y = 3 (x + 4)^2 - 3
Vertex form was done by completing the square.
PLS HELP ILL MARK YOU BRAINEST DUE SOON
Answers
Answer:
A, B, C, D or simplify all of them
Step-by-step explanation:
Answer:
all 4 of them
Step-by-step explanation:
a. 29x + 92 = 29x - 11
0x + 92 = -11
0x ≠ -103
b. 29x + 11 = 29x - 11
0x + 11 = -11
0x = -22
0 ≠ -22
c. 29x - 29 = 29x - 11
0x = 18
0 ≠ 18
d. 29x + 29 = 29x - 11
0x + 29 = -11
0x = -40
0 ≠ 40
Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.
Answers
Step-by-step explanation:
Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.
From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990
and 25% of $11,990 is
(25/100)* 11,990
0.25* 11,990
$2997.5
So you can make a down payment of $2997.5
and pay the remainder of $8992.5 later
15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answers
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
Price reduced
25% off
Now £14 625
Work out the price of the car before it was reduced.
Answers
Step-by-step explanation:
let x be the original.price
so x * 75/100= 14625
x=19500
so the price of car before it was reduced was 19500
The price of the car before it was reduced is £19500.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that the price of the car with 25% price reduced is £14625.
Now to find the price of the car before it was reduced,
for that we will find the price of car to 100 - 25 = 75 percentage.
Let P be the price of the car before it was reduced.
P × 75 / 100 = 14625
P = 14625 × 100 / 75
P = £19500
Therefore, the price of the car before it was reduced is £19500.
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Early in November, it was 37 O F on a particular day. The temperature has dropped 2 O F every day since then. It is now -11 O F. How many days have passed since it was 37 O F outside?
Answers
What is the solution to the system of equations?
Answers
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
Earth is 148.61 million km from the sun in scientific notation it is
Answers
Answer:
1.48x10^2 ten to the second
Step-by-step explanation:
Help please! Only answer if you know for sure.
Answers
Answer:
c I am 100% sure
Step-by-step explanation:
Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?
Answers
Answer:
22.22222222
Step-by-step explanation:
Answer:
the race is 22 miles long.
Step-by-step explanation:
p %
~~ = ~~
w 100