LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers
Answer:
[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]
======================================================
Explanation:
The fraction 1/4 is equivalent to the decimal form 0.25
We multiply 0.25 with each coordinate, of each point.
For example, let's focus on point L which is at (2,-1)
x = 2 becomes x = 0.25*2 = 0.5y = -1 becomes y = 0.25*(-1) = -0.25Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.
Note: this trick only works if the center of dilation is the origin.
Related Questions
Multiply and fill in the blanks
a) 5pq(p2+ q2+pq)
b) -7pr (pq – qr - rq)
c) (4x-3y) (5x-4a)
with explanation pls !
Answers
The solution to the simplification of the algebraic expressions are;
A) 5p³q + 5pq³ + 5p²q
B) 14pqr² - 7p²qr
C) 20x² - 15xy - 16ax + 12ay
A) We have the expression;
5pq(p² + q² + pq)
Multiplying out using the concept of distributive property, we have;
(5pq × p²) + (5pq × q²) + (5pq × pq)
>> 5p³q + 5pq³ + 5p²q
B) We have the expression;
-7pr(pq – qr - rq)
Multiplying out using the concept of distributive property, we have;
-7p²qr + 7pqr² + 7pqr²
>> 14pqr² - 7p²qr
C) (4x - 3y)(5x - 4a)
By quadratic expansion, we have;
(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)
>> 20x² - 15xy - 16ax + 12ay
Read more about simplification of algebra at; https://brainly.com/question/4344214
One positive number is 7 more than twice another. If their product is 1425, find the numbers.
Answers
Answer:
25 and 57.
Step-by-step explanation:
Let the lowest number be x then the other is 2x + 7, So:
x(2x + 7) = 1425
2x^2 + 7x - 1425 = 0
2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19
We need 2 numbers whose product is -2850 and whose sum is + 7.
These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:
2x^2 - 50x + 57x - 1425 = 0 Now we factor by grouping:
2x(x - 25) + 57( x - 25) = 0)
(2x + 57) ( x - 25) = 0
x = -57, 25.
We ignore the negative as we are given that the number is positive,
x = 25 is one number and the other is 2(25) + 7 = 57.
TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!
Answers
Answer:
d x 7 = 105
Step-by-step explanation:
Consider the following conversation.
Paul: Alsafat telling a lie.
Alsafat: I am telling a lie.
Emman: Paul telling a lie.
Suppose that exactly one of them telling a truth. Who is telling a truth?
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Answer: Emman is telling the truth because no one is saying that he is telling a lie.
Step-by-step explanation:
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Answers
Answer:
Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]
Step-by-step explanation:
[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]
[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]
[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]
[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]
[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]
[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]
[tex]sin^2(\theta)=1-cos(\theta)[/tex]
[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]
[tex]-cos^2(\theta)=-cos(\theta)[/tex]
[tex]cos^2(\theta)=cos(\theta)[/tex]
[tex]cos^2(\theta)-cos(\theta)=0[/tex]
[tex]cos(\theta)[cos(\theta)-1]=0[/tex]
[tex]cos(\theta)=0[/tex]
[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
[tex]cos(\theta)-1=0[/tex]
[tex]cos(\theta)=1[/tex]
[tex]\theta=0[/tex]
Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]
Helpful Tips:
Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]
Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]
[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]
[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]
[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]
Twice a number is 46 less than 4 times the number. Find the number.
Answers
Answer:
23
Step-by-step explanation:
let the number be n then twice the number is 2n and 4 times the number is 4n
Then
2n = 4n - 46 ( subtract 4n from both sides )
- 2n = - 46 ( divide both sides by - 2 )
n = 23
The number is 23
Answer:
34.5
Step-by-step explanation:
23 x 2 = 46 less than 4 times = 11.5
46 - 11.5 = 34.5
If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?
Answers
Answer:
100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%
Hope This Helps!!!
Answer:
i think probably 3/28 ,that 3 boys will sit together
the product of two factors is 4200.if one of the factors is 60.what is the other factor?
Answers
Answer:
Other factor is 70
Step-by-step explanation:
Let,
Other factor = x
Then,
x × 60 = 4200
x = 4200/60
x = 420/6
x = 70
∴Another factor is 70.
Answer:
Solution given
let two factor be a and b.
if one factor a=60, then b=?
we have
product of factor=4200
a*b=4200
60*b=4200
b=[tex]\frac{4200}{60}=70[/tex]
Step-by-step explanation:
Approximately what portion of the circle is shaded blue?
A. 2/5
B. 2/3
C. 1/3
Answers
Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answers
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
There are 5 boxes of chocolates. If taking 200g out of each box, the remaining chocolates in the 5 boxes are exactly the same weight as the original 4 boxes. How many grams of chocolate is in each box?
Answers
Answer:
1000
Step-by-step explanation:
So the taken chocolate weight equals to the original 1 box of chocolate.
Thus there are 200 x 5 = 1000g.
The orginal chocolate has 1000g each.
in a bag there are only red counters blue and white counters one is taken from the bag the table shows the probability of getting a red counter red red d 0.35 the number of white is 2:3 what’s probability of getting blue and white counter
Answers
The probability of getting blue and white counter is 0.2275
Probability is the likelihood or chance that an event will occur
Probability = n(E)/n(S)
n(E) is the number of eventsn(S) is the sample spaceIf the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65
Pr(getting blue and white counter) = 0.35 * 0.65
Pr(getting blue and white counter) = 0.2275
Hence the probability of getting blue and white counter is 0.2275
Learn more on probability here: https://brainly.com/question/24756209
What are the coordinates of the point (-4, 2) after a translation 2 units left and 2 units up?
A (-2, 0)
B (-6,0)
C (-2, 4)
D (-6, 4)
Answers
Answer:
the answer you're looking for is D. when you move to the left the -4 becomes -6 and when you move up 2 becomes 4.
You deposit $300 each month into an account earning 4% interest compounded monthly. How much will you have in the account in 35 years and how much total interest will you earn?
Answers
Answer:
Step-by-step explanation:
FV = PMT [((1 + r)ⁿ - 1) / r]
PMT = $300
r = 0.04/12
n = 35(12) = 420
FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28
I = $274,119.28 - 300(420) = $148,119.28
) f(x) = 4x + 5, g(x) = 2/x;
Find (g • f)(3).
Answers
[tex]\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}[/tex]
Answer:
The answer is 2/17
Step-by-step explanation: Can I get brainliest again my answer was deletedee
3х + 5x
Pls help (sorry if this question got deleted)
Answers
Answer:
8x
Step-by-step explanation:
3x+5x=8x
3+5=8
x is the same variable.
At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of pork chops and 12 pounds of ground beef.
Answers
Answer:
Let pork chops and ground beef be x and y respectively.
4x = $12.60
x = $3.15
11x = $34.65
5y = $10.25
y = $2.05
12y = $24.60
11x + 12y = $34.65 + $24.60
= $59.25
PLS PLS PLS HELP ON GEOMETRY PLS
Answers
Answer:
40 degrees
Step-by-step explanation:
Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.
Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.
Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40
QUESTION 15 PLEASE HELP ME ASAPP
Answers
Answer:
The line shifted up 8 units
Step-by-step explanation:
Use the order of operations to simplify 4(3.5 - 1.5) - 1/2.
a. 19 1/2
b. 7 1/2
c. 12
d. -4
Answers
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{4(3.5 - 1.5) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 4(2) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 8 - \dfrac{1}{2}}\\\\\mathbf{\rightarrow \dfrac{15}{2} \approx 7.5 \approx \boxed{\bf 7 \dfrac{1}{2}}}\\\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ B. \ 7 \dfrac{1}{2}}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{\bf Amphitrite1040:)}[/tex][tex]\huge \bf {Question}:—[/tex]
[tex] \boxed{\bf \: 4(3.5 - 1.5) - 1/2}[/tex]
[tex]\bf\huge Solution:—[/tex]
[tex] \sf \longmapsto \: 4*(3.5-1.5)-1/2[/tex]
[tex] \boxed{\bf \: Convert \: 1/2 \: i nto \: Decimal:—}[/tex]
[tex]\sf \longmapsto \: 4*(3.5-1.5)-0.5[/tex]
[tex] \boxed{\bf \: Subtract \: 3.5-1.5 :—\: (2 \: is \: the \: result)}[/tex]
[tex]\sf \longmapsto \: 4*(2) - 0.5[/tex]
[tex] \boxed{\bf Multiply \: 4 \: and \: 2:—(8 \: is \: the \: result)}[/tex]
[tex]\sf \longmapsto8-0.5[/tex]
[tex] \boxed{\bf \: Simply \: Subtract:—}[/tex]
[tex]\sf \longmapsto7.5[/tex]
[tex]\boxed{\bf Convert \: to \: Fraction, \: And \: Fraction\:to\:Mixed \:Fraction:—}[/tex]
[tex]\sf\longmapsto 15/2[/tex]
[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]
[tex]\boxed{\sf\longmapsto 7 \dfrac{1}{2} }[/tex]
________________________________
[tex]\boxed{\bf Solving \: in \: another \: way:—}[/tex]
[tex]\sf \longmapsto4*2-1/2[/tex]
[tex]\sf \longmapsto4*(2)-1/2[/tex]
[tex]\sf \longmapsto8-1/2[/tex]
[tex]\sf \longmapsto \: 15/2[/tex]
[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]
[tex]\boxed{\sf \longmapsto \: 7 \dfrac{1}{2} }[/tex]
________________________________
[tex] \boxed{\bf \: \: Answer \: i s \: Option \: B}[/tex]
[tex] \boxed{\huge\sf \: (B) \: \bf \: 7\dfrac{1}{2}} [/tex]
ms. valdez is preparing dinner for 6 people she bought an 8 pund tukey to rost for dinner and plans to distribute it evenly to each of the 6 people how many pounds of turkey should each person get
a- 1 1/3
b- 1 1/6
c 3/4
1/2
1/4
Answers
Answer:
A
Step-by-step explanation:
8/6 is also 1 1/3.
(assuming she doesn't include herself in the distribution).
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
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Answer:
SSS, congruent.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please look for the question in the picture.
Answers
Answer:
Negative
Step-by-step explanation:
Lets assume that B is 0.8 and C is -1.8.
0.8/-1.8 is approx. -0.44 which is a negative
3. Which of the following is a rational
number that is not an integer?
A-2
C 0
B -0.5
D 4
Answers
Step-by-step explanation:
-0.5 cause decimals and fraction are not included
Solve the evens and I will mark you brainliest when available.
Answers
Answer:
The solution is in the photo
9. The 10,000 seat stadium is 89% full. How many people are watching the game inside the stadium? with solution pls.
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What is the answer to this question in SSS, SAS, AA, or none
Answers
Answer:
Step-by-step explanation:
40/32 ?=? (40 + 12.5) / (32 + 10)
1.25 ?=? 52.5 / 42
1.25 = 1.25
similar via SAS
Please help me solve this math problem
Answers
Answer:
I think it is undefined.
Please look for the question in the picture.
Answers
Answer:
I beleive the missing value is -3
Step-by-step explanation:
if you plug -3 into the pink box it will give you the result of -5
(anyone is free to correct me)
Hemp help help math math
Answers
Answer:
This is not a linear function, as it isn't any function because 3 has two outputs.
Step-by-step explanation:
Explained above