Answer:
The coordinates of R' are [tex]R'(x,y) = (8,-2)[/tex].
Step-by-step explanation:
According to Linear Algebra, dilation consist in expanding a given vector with respect to one of its endpoints by a scalar. That is:
[tex]R'(x, y) = C(x,y) + k\cdot [R(x,y)-C(x,y)][/tex] (Eq. 1)
Where:
[tex]R(x, y)[/tex] - Original location with respect to origin, dimensionless.
[tex]C(x,y)[/tex] - Point of reference with respect to origin, dimensionless.
[tex]k[/tex] - Dilation factor, dimensionless.
[tex]R'(x, y)[/tex] - Dilated point with respect to origin, dimensionless.
If we know that [tex]R(x,y) = (3,8)[/tex], [tex]C(x,y) = (2,10)[/tex] and [tex]k = 5[/tex], then the dilated point is:
[tex]R'(x,y) = (3,8) +5\cdot [(3,8)-(2,10)][/tex]
[tex]R'(x,y) = (3,8)+5\cdot (1,-2)[/tex]
[tex]R'(x,y) = (8,-2)[/tex]
The coordinates of R' are [tex]R'(x,y) = (8,-2)[/tex].
dose anybody know the answer?
Answer:
they want a fomula that is in respect to 'b" sooo..
Step-by-step explanation:
just do the algebra.... like so..
a/b=c
move 'b" across = sign by multiplying by 1/b like soo.
(1/b)*(a/b)= (1/b)*c
a=c/b
then move the 'c' to the other side of the = sign by multiplying by 1/c
(1/c)*a = (1/c)*(c/b)
a/c = b
makes sense , also.. as a way to speed that up.. just remember you can just swap the 'b' and 'c' in that first equation
b = a/c
Mr joseph bought 9 pounds of fertilizer for his lawn he uses 2 2/3 pounds for his backyard and 1 2/9 pounds fo rdd hi front yard how much fert I'll lizer is left
Answer:
5 pounds
Step-by-step explanation:
Total pounds of fertilizer purchased purchased for lawn = 9 pounds
Amount used for backyard = 2 2/3 pounds
Amount used for front yard = 1 2/9
Amount of fertilizer left :
Total amount purchased - total. Amount used
Total amount used :
(amount used for backyard + amount used for front yard)
(2 2/3 + 1 2/9) = (8/3 + 11/9) = (24 + 11) / 9
= 36 / 9
= 4 pounds
Amount of fertilizer left :
Total amount purchased - total. Amount used
9 pounds - 4 pounds
= 5 pounds
Answer:
5 pounds
Step-by-step explanation:
Help plz plz plz help with math
what are the 2 clsest integers to 300
Answer:
299 and 301
Step-by-step explanation:
An integer is colloquially defined as a number that can be written without a fractional component.
Therefore the two closest integers to 300 are 299 and 301.
The difference of five times the cube of x and two times the square of x is 18
Answer:
x=3√2 or x=4
Step-by-step explanation:
5*x^3-2*x^2=18
x^2(5x-2)=18
x^2=18 or 5x-2=18
x=√18 or 5x=20
x=√9*2 or x=4
x=3√2 or x=4
Sam likes to make sweet black tea every morning. She uses 0.5 liters of boiling water with 2 tea bags and lets it steep. After 5 minutes, she removes the tea bags and adds 4 teaspoons of sugar. What is her ratio of teaspoons of sugar to tea bags? Group of answer choices 1:2 2:1 2:4 5:4
Answer:
2:1
Step-by-step explanation:
Sam likes to make sweet black tea every morning. She uses 0.5 liters of boiling water with 2 tea bags and lets it steep. After 5 minutes, she removes the tea bags and adds 4 teaspoons of sugar. What is her ratio of teaspoons of sugar to tea bags?
She uses:
2 Tea bags
4 teaspoons of sugar
Ratio of teaspoons of sugar to tea bags
= 4 : 2
= 2:1
if you can explain how 1=2 ill give 100 points plus brainiest
I'm starting off with 25 now cause I won't believe u at first but then I ask u a few questions, then ill give u 75 more. ok, START!
(i already know the answer so NO GOOGLE!!!)
Answer: 1 + 1
Step-by-step explanation:
Answer:
i1
Step-by-step explanation:
Which line has the mistake ?
There are 140 seats in the school auditorium. There are 7 seats in each row. There are 70 people seated, filling up full rows of seats.
How many rows are empty?
There are??? empty rows
.$10,000 at 4.2% for 5 years
Answer:
2100
Step-by-step explanation:
James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 20% more
than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?
Answer:
Step-by-step explanation:
Don't be too quick to answer 15% of some number. It may be right, but it is likely not.
James makes 9.00 dollars an hour
Priya makes 20% more than James. Stop. Figure that out.
9.00 * 1 + 25/100 * 9 = 9.00 + 2.25 = 11.25
Now, you can figure out 5% less.
Siobhan = 11,25 - 5/100 * 11.25
Siobhan = 11.25 - 0.05 * 11.25
Siobhan = 11.25 - 0.5625
Siobhan = 10.6875 = 10.69
There is no other way that I know of to go directly to Siobhan's wage other than doing it the long way -- at least for the level of math you are taking.
9 * (1.2 - 0.05) might work.
9 * (1.15)
= 10.35 which is close, but not correct.
Moral: do the math. Don't accept a guess as an answer.
Bryson is jogged at a constant rate of constant speed he starts a timer when he is 20 feet from his starting position. after 5 seconds, Bryson is 80 feet from his starting position. write a linear equation in slope-intercept form to find the distance d of bryson from his starting position after t second
Answer:
d = 4t + 60
Step-by-step explanation:
If Bryson jogged at a constant rate of constant speed and he starts a timer when he is 20 feet from his starting position. after 5 seconds, his speed will represent the slope of the required equation:
Speed = distance/time
Speed = 20 feet/ 5 secs
Speed = 4ft/s
Hence the slope of the equation is 4ft/s
Next is to get the intercept c
Standard equation that represents the expression is:
d = mt+c
d is the distance of bryson from his starting position
To get the intercept c, substitute d = 80, m = 4 and t = 5 into the equation as shown:
80 = 4(5) + c
80 = 20 +c
c = 80 - 20
c = 60
Get the equation:
Substitute m = 4 and c = 60 into the original equation
d = mt + c
d = 4t + 60
Hence a linear equation in slope-intercept form to find the distance d of bryson from his starting position after t second is d = 4t + 60
whats transitive property
Answer:
It tells us that if A=B and B=C, then A=C. The transitive property of order uses the same idea, except with < or ">> signs instead of = signs
Step-by-step explanation:
Answer:
the transitive property states that: If a = b and b = c, then a = c. In other words, if a is related to b by some property, and b is related to c by the same property, then a is related to c by that property.
Step-by-step explanation:
Rodrigo wants to buy football for $22.50 and a pair of gloves for $15.50. If the sales tax rate is 6%, what will be the amount of sales tax on Rodrigo’s purchase?
Answer:
$2.28
Step-by-step explanation:
Football: $22.50
Gloves: $15.50
Total: $38.00
Sales tax is 6%
So the amount of money paid in Sales Tax is (6/100) * $38.00 = $2.28.
Total purchase price is: $40.28
(4 x 10 ⁹) / (5 x 10 ⁷)
Answer:
80
Step-by-step explanation:
(4/5) x 10^(9-7)
= (4/5) x 10^2
= 4/5 x 100
= 400/5
= 80
Answer:
80
Good Luck!!!
A family of three would like to reduce their water footprint so that it is 75% of the typical American's water footprint. Which calculation shows how they can estimate their target water footprint for one day? There may be more than one correct answer.
Answer:
hello your question is incomplete attached below is the missing part of the question
answer : option 1 , 4 and 6
Step-by-step explanation:
Given that the water footprint for a typical American is 2483 m^3/year
The correct answers are :
option 1): 3 * ( 2500 * 0.75 ) / 365
option 4): 3 * 2500 * 0.75 / 365
option 6) : ( 3 * 2500 * [tex]\frac{3}{4}[/tex] ) / 365
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.29 inches. If she needs 1,00 ribbons, what is the length of ribbon Sarah needs?
Answer:
3,290 inches of Ribbon
Step-by-step explanation:
Assuming that Sarah needs a total of 1,000 Ribbons we would simply need to multiply this total amount by the size of each individual Ribbon, which according to Sarah is 3.29 inches. This is because this would be like adding the size of each individual ribbon to get the total length. Like so...
1,000 * 3.29 = 3,290inches
Therefore, Sarah would need a total of 3,290 inches or
3,290 / 12 = 274.16ft of ribbon
if i have 18 pounds of cheese how many pizza can i make
Answer:
You can probably make about 19 Pizzas because on every pizza there's a bit less than a pound of cheese so I guess you could make 19-20 pizzas. :)
Step-by-step explanation:
Factor the GCF4x^2+36x=-72
Answer:
x^2 + 9x = - 18
Step-by-step explanation:
GCF is 4 So divide both sides by 4
4x^2 / 4 = x^2
36x/4 = 9x
- 72 /4 = -18
Anyone read yaoi?
i finished all of them
plz help i need to fill this void in my soul
any recomendations?
Answer:
um ever watched banana fish? or go on wattpad?
Step-by-step explanation:
Answer:
You can read (if u have not read it yet) Seashell Boy, When the yakuza fall in love, Don´t pick up the soap, Love is an illusion, Bj Alex, Your wish is my command, Better than strangers. etc.
Step-by-step explanation:
A circles circumference is approximately 44 cm. 1.The circles diameter is approximately______ cm. Enter a numerical value and round to the nearest tenths
Answer:
7
Step-by-step explanation:
44/2/(3.14) equals 7.006 or 7.
A video game store sold 135 copies of a new release game in June. In July, they sold 108 copies of the same game. What is the percent decrease in the sales of this game from June to July?
percent decrease: decrease/old price * 100%
Subtract:
135 - 108 = 27
Fill into formula,
= 27/135 * 100%
= 1/5 * 100%
= 0.20 * 100%
= 20%
therefore, the percent decrease is 20%!
Determine the weekly gross pay for an x-ray technician earning $32.50 per hour working 48 hours a week. (Overtime is time-and-a-half for all hours over 40.
Answer:
The three paths intersect in pairs at the points A, B, and C. Measure and record the angle formed at each intersection
Step-by-step explanation:
I NEED HELP! will give brainliest, please show your work
Philip made a total of 9 bracelets and necklaces from 120 inches of cord.
He used 8 inches of cord for each bracelet and 20 inches of cord for each necklace.
Use matrices to find the number of bracelets and the number of necklaces that Philip made.
number of bracelets=
number of necklaces=
Answer:
number of bracelets= 5
number of necklaces= 4
Step-by-step explanation:
* I don't know how to show a matrix with a keyboard so I'm just going to do two lines of brackets to represent the matrix.
b=bracelets
n=necklaces
[8 20 | 120]
[b n | 9 ]
You should put this into a graphing calculator:
[8 20 | 120]
[1 1 | 9 ]
Then use reduced row echelon form which equals:
[1 0 | 5]
[0 1 | 4]
The top line being the number of bracelets and the bottom line being the number of necklaces
Between which two numbers does √33 lie on a number line?
Answer: 11
Step-by-step explanation:
11x3=33
So its asking what number its in between so it's 11
what is 628 divisible by?
Answer:
1, 2, 4, 157, 314, and 628
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
1, 2, 4, 157, 314, and 628 and 628
Step-by-step explanation:
Because yeah how do u not know
Eric spent $14 on a shirt and some socks. if the shirt cost $6 and each pair of socks cost $2 then how many pairs of socks did he buy?
Answer:
4 pairs of socks or 8 socks
Step-by-step explanation:
14$-6$=8$
8 dollars spent on socks. 2 socks = 2 dollars
8/2=4
so 4 pairs of sock
What is 52% as a fraction in simplest form?
A) 13/25
B)2/5
C)21/20
D)5/2
Answer:
A
Step-by-step explanation:
The other answer's would be over 100% and one is less than half or 50%
Answer:
A) 13/25
Step-by-step explanation:
13/25=0.52
A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function? y = –3x, y = equals StartFraction x Over 3 EndFraction. y = equals StartFraction x Over 3 EndFraction. y = 3x
Answer:
y=3/4x
Step-by-step explanation:
Better known as C.
I chose this answer choice because I pulled up a graphing calculator and the result I got was y=3/4x (aka, C)
The equation that best represents the direct variation function is y = 3/4x; option C.
What is direct variation function?A direct variation function is a function in which the domain and range of a function varies directly.
The direct variation function contains the points (–9, –3) and (–12, –4)
Therefore, the equation that best represents the direct variation function is y = 3/4x.
Learn more about direct variation functions at: https://brainly.com/question/6499629
#SPJ9
A line that passes through (3, 1) and (0, -3)
Answer:
y=4/3x-3
Hope this helps!
