Answers
Answer:
B = (3, -5)
D = (0, -1)
C = (3, 5)
Step-by-step explanation:
We want to find the coordinates of B, C, and D given that AB = 5 and BC = 10.
Because AB = 5 and BC = 10, we can find the slope of the line using the slope formula:
[tex]\displaystyle \begin{aligned} m & = \frac{\Delta y}{\Delta x} \\ \\ & = \frac{(10)}{(5)} \\ \\ & = 2 \end{aligned}[/tex]
Point A(-2,-5) is on the line. Hence, the equation of the line is:
[tex]\displaystyle \begin{aligned} y-y_1 &= m(x-x_1) \\ \\& = y-(-5) = 2(x-(-2)) \\ \\ y + 5 & = 2x+4 \\ \\ y & = 2x-1 \end{aligned}[/tex]
Because AB is 5, B is simply A shifted rightwards five units. Hence:
[tex]\displaystyle B = (-2+5, -5) = (3, -5)[/tex]
At Point D, x = 0. Hence:
[tex]\displaystyle y = 2(0) -1 = -1[/tex]
Thus, D is at (0, -1).
B and C are collinear. Hence, the x value of C is 3:
[tex]\displaystyle y = 3(2) - 1 = 5[/tex]
Therefore, C is at (3, 5).
Related Questions
find the value of x in the polygon
Answers
Answer:
x = 13 5/13°
Step-by-step explanation:
The sum of angles in a hexagon is 180°(6 -2) = 720°. That means ...
(8x +16°) +(12x -8°) +(7x +2°) +(9x +4°) +(6x +10°) +(10x) = 720°
52x +24° = 720° . . . . . . collect terms
52x = 696° . . . . . . . . subtract 24
x = 13 5/13° . . . . . . divide by 52
_____
Additional comment
The angles, in the same order, are approximately ...
{123.077°, 152.615°, 95.6923°, 124.462°, 90.3077°, 133.846°}
What is the area of rhombus PQRS?
Answers
Answer:
370.1
Step-by-step explanation:
i just got the answer
Which number is closest to - 14 square root?
A. -4.5
B. 4.5
C. 3.7
D. -3.7
Answers
Answer:
the correct answer is -3.7
Alexandra bought a $315,000.00 house, paying 10% down, and financing the rest at 6% interest for 20
years.
A. What is the monthly payment?
Alexandra has a payment of
a month.
B. How much interest will be paid over the life of the loan?
Alexandra will pay
in interest over the life of the loan.
Answers
Answer:
A. payment: $2031.08
B. interest: $203,959.20
Step-by-step explanation:
There are many financial calculators, apps, and spreadsheets that will solve this for you. Here, we will use the amortization formula that would be implemented by one of those.
A.The monthly payment is given by ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . loan of P at rate r for t years
If 10% is put down on the house, then amount that needs to be financed will be ...
$315,000 × (1 -10%) = 0.90 × $315,000 = $283,500
For interest rate 6% and a period of 20 years, the monthly payment is ...
A = $283,500(0.06/12)/(1 -(1 +0.06/12)^(-12·20))
A = $283,500(0.005)(1 -(1.005^-240)) ≈ $2,031.08
__
B.The interest is the difference between the amount repaid and the original loan value:
interest = 240 × $2031.08 - 283,500 = $487,459.20 -283,500
interest = $203,959.20
Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)
Answers
Answer:
[tex]8 {a}^{3} + {36a}^{2} + 54a + 27 \\ [/tex]
Explanation:
Binomial theorem,
[tex] {(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3} [/tex]
Select any equations that have the same solution set as:
2x + 3 = 13
A.6 + 4x = 26
B.10x = 20
C.12 = 13 - 5x
D.4x = 20
Answers
Answer: 6+4x=26, 4x=20
Step-by-step explanation: 6+4x=20 is the initial equation but completely multiplied by two, so you can know without solving that it is equivalent.
If you solve the equation, 2x+3=13 (subtract 3 from both sides)
2x=10 (divide both sides by 2)
x equals 5.
if you plug in 5 as x to 4x=20, you get 20=20, which is a true statement, so this choice is also correct. You could also solve to prove x equals 5 in this equation as well. Divide 20 by 4 and you get x=5.
Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are nonzero elements of P.
Which statement about this product must be true?
a/b times c/d
A.
The product is a polynomial.
B.
The product is a rational number.
C.
The product is an integer.
D.
The product is a rational expression.
Answers
Answer:
A. The sum is a rational expression
Step-by-step explanation:
we are given
2/a+ c/d
we are given that
'b' and 'd' are non-zero values
So,
a/b is a rational number
c/d is a rational number
we can see that both are added
So, sum of rational expression is also a rational expression
so...
A. The sum is a rational expression
Answer:
The correct answer is D. The product is a rational expression.
Step-by-step explanation:
I got it right on the Plato test.
HURRY 20 POINTS
Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and
85% are green. At the end of each class, she mixes the cards, reaches inside the bag, and draws out one card at
random. If a red card is drawn, the students will not be assigned homework. She shows the class the card, and
then places the card back in the bag. Carla would like to carry out a simulation to estimate the number of days it
will take in order to get a "no homework" day. She assigns the digits to the outcomes.
00-14 = red
15-99 = green
Beginning at line 1 and starting each new trial right after the previous trial, carry out 5 trials of this simulation
Based on these 5 trials, what is the average number of days it will take to get a "no homework" day?
A) 2
B) 2.8
C) 3.4
D) 4.2
Answers
It will take 4.2 days in order to get a "no homework" day.
AveragesTo determine the average number of days that it will take in order to get a "no homework" day, based on these 5 trials, the following calculation must be performed:
0.85 x 0.85 x 0.85 x 0.85 x 0.85 = X0.4437 = XTherefore, it will take 4.2 days in order to get a "no homework" day.
Learn more about averages in https://brainly.com/question/12322912
Answer:
2.8
Step-by-step explanation:
Find the nonpermissible replacement for s in this expression s-1/s-5
Answers
The nonpermissible replacement is -7. The nonpermissible replacement of the variable in a certain expression is the value of the variable
The nth term of a sequence is 3n squared.
What is the 15th term
Answers
Answer:
2025
Step-by-step explanation:
3n² is our nth term
n=15
thus....
(3×15)²
= 45²=2025
Hopefully this helped- have a great day)
Find the area of the parallelogram 11 mm 22 mm
Answers
Answer:
Ok well come how are you there
Molly is traveling from France to the US.She knows that 1 US dollar is worth $0.80 Euro.How much is 350 Euros worth is USD?
Answers
Answer:
437.5 USD
Step-by-step explanation:
350/.8*1=437.5
The value of 350 euros will be equal to 437.5 USD.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Molly is traveling from France to the US. She knows that 1 US dollar is worth $0.80 Euro.
The value of 350 euros in USD will be calculated as,
1 US dollar ⇒ 0.80 Euros
1 Euros ⇒ 1 / 0.80 dollar
350 Euros ⇒ ( 350 / 0.80 ) dollars
350 Euros ⇒ 437.5 dollars
Therefore, the value of 350 euros will be equal to 437.5 USD.
To know more about an expression follow
https://brainly.com/question/29381836
#SPJ2
Are the points (4,3), (7,3), (4,0), (7,0) a rectangle, trapezoid, parallelogram, or square?
Answers
square, the points (4,3) (7,3) (4,0) (7,0) add up to become a square!
How do I find the surface area of 2 and 3 Plss helpppp
Answers
It mught help if u draw the shape 2d so u can see each side
Please help need to get too 80%
Answers
Answer:
the scale factor is 5:36.
Step-by-step explanation:
To solve the question, we note that 1 yard = 3 feet and 1 feet = 12 inches
Where the scale of the drawing is 5 inches = 1 yard,
we have the scale of the drawing is 5 inches = 36 inches
5 inches is equivalent to 36 inches in real life
That is the scale is 5 is to 36 which is 5:36.
5(4 + 6) - 72 and explain the answer thank you
Answers
Answer:
-22
Step-by-step explanation:
5(4+6)-72
5(10)-72
50-72
-22
Answer:
5(4+6)-72
5x10-72
50-72
-22
Step-by-step explanation:
If you use PEMDAS, the P is for parenthesis.
So first, you do the (4+6) and then multiply it by 5, when you get that answer, do the final step. Subtract 72.
Hope this helped!! <3
HELP Solve for x and y
Answers
Answer:
X = 12 / Y = 49
Step-by-step explanation:
X = 12
This is because one of those angles is a 90 degree angle, and the other is 78; After subtracting them both from 180, you're left with 12
Y= 49
I did the same procedure as above. The two far left lines are equal, which means 41 is also an angle on the other side. 180 - 90 - 41 = 49
There are 15 chairs arranged evenly around t tables. Choose the expression that shows how many chairs are at each table.
Answers
Answer:
15/t
Step-by-step explanation:
15 chairs per table
(/) is used instead of the word 'per'
Solve for x.
4x−2=6
Enter your answer in the box.
Answers
Answer:
The answer is 2 because change -2 to 2 and add two to 6 which will equal to 8 then divide it by 4 to get the answer 2.
Answer:
x=2
Step-by-step explanation:
4x−2=6
4x=6+2
4x=8
4x÷8
x=2
A restaurant needs to order stools and chairs. Each stool has 3 legs and each chair has 4 legs. The
manager wants to be able to seat 36 people. The restaurant has hard wood floors and the manager
doesn't want to scratch them. Therefore, they have ordered 129plastic feet covers for the bottom of the
legs to ensure the stools and chairs don't scratch the floor. How many chairs and how many stools did
the restaurant order?
Answers
Answer:
44
Step-by-step explanation:
if this is the question from edge then trust me
Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet tall, how tall is the tree?
Answers
Answer:
30 ft
Step-by-step explanation:
We can use the given information to set up a ratio...
[tex]\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}[/tex]
[tex]\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}[/tex]
We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):
120 = 4x
Divide both sides by 4
x=30 ft
1) What is 94 percent of 75 ?
Answers
Answer:
70.5
Step-by-step explanation:
Harold works at a men's clothing store, which
- marks up its retail clothing by 27%.
The store purchases pants for $74.00, suit
Jackets for $325.00 and dress shirts for
$48.00. How much will Harold charge a
customer for a pair of pants, a dress shirt and
a suit jacket?
Answers
Answer:
$567.67
Step-by-step explanation:
1. 74 + 325 + 48 = 447
2. 447 + (0.27)(447) = 447 + 120.67
3. 447 + 120.67 = 567.67
AB bisects CD at point Q. You are given that m
Answers
Answer:
the answer is twenty four
The Svensons find a refrigerator valued at $2,300 on sale for $1,900. They decided to withdraw $500 from savings to use as a down payment on the purchase of the refrigerator and took out a loan to pay the balance. Choose the true statement. A. The Svensons’ assets increased by $1,400. B. The Svensons’ assets increased by $1,800. C. The Svensons’ assets increased by $1,900. D. The Svensons’ assets increased by $2,300. Please select the best answer from the choices provided A B C D.
Answers
Assets are the resources owned by any individual or organization. Svenson's assets increased by $1,400.
What is an asset?An asset is any resource that is been owned by a company, organization, or individual.
Given to us
The original price of the refrigerator is $2,300.
The Market price of the refrigerator is $1,900.
Svensons' paid $500
As it is given to us that the Market price of the refrigerator is $1,400 and as the Svenson's has bought the refrigerator, therefore, this resource(refrigerator) is now owned by the Svenson.
We know that the down payment made is also made from our assets(cash). therefore, the assets increased by $1,400($1900-$500)only.
Thus, the Svensons’ assets increased by $1,400.
Learn more about Asset:
https://brainly.com/question/16983188
Answer:
B. The Svensons' assets increased by $1,800.
Step-by-step explanation:
A cylinders volume can be calculated by the formula V=pir^2h, where V stands for volume and R for the base radius and H for the cylinders height.
Use the formula to calculate the cylinders volume if its base's radius is 4 meters, and its height is 9 meters
This cylinders volume, in terms of pi, is _________
This cylinders volume, rounded to the hundredth place, is _________
Answers
Answer:
This cylinders volume, in terms of pi, is 144π m³
This cylinders volume, rounded to the hundredth place, is 452.39 m³
Step-by-step explanation:
volume of cylinder:
→ πr²h
→ π(4)²(9)
→ 144π
→ 452.39 m³ ......rounded to nearest hundredth
[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]
[tex]\\ \tt\hookrightarrow v=\pi 4^2(9)[/tex]
[tex]\\ \tt\hookrightarrow v=16(9)\pi[/tex]
[tex]\\ \tt\hookrightarrow v=144\pi[/tex]
[tex]\\ \tt\hookrightarrow v=144(3.14)[/tex]
[tex]\\ \tt\hookrightarrow v=452.16m^3[/tex]
Joni bought 35 books at a price of Rp. 122,500. Toni bought the same 24 books as
that Joni bought. How much did Toni pay for the book?
Answers
Answer:
Toni pays 84000
Step-by-step explanation:
Data :
Joni books = 35
Joni price = 122500
Toni books = 24
Find price of single book
122500/35 = 3500
Toni prices if 24 books is
24 × 3500 = 84000
A novelist writes an average of 0.75 page per hour. Which equation models this unit rate
Answers
Answer: You may have to search it is what it says to me, “no results have been found for “A novelist writes an average of 0.75 page per hour. Which equation models this unit rate.”
Step-by-step explanation:
Acellus
Find the volume of this figure.
[?] = cubic units
Enter
What is the volume?
Answers
Answer:
36
Step-by-step explanation:
length=6
width=3
height=2
6 x 3 x 2 = 36
If sin(3x + 5)º = cos(4x + 1)º, what is the value of x? Explain how you derived your
answer