The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(___,____)
What are the coordinates of Point A? A(____,____)
Answers
Given:
Scale factor [tex]s=\dfrac{1}{3}[/tex]
Center of dilation = (4,2)
To find:
The coordinates of the points C' and A.
Solution:
We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
The scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using rule (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Hence, the coordinates of Point C' are C'(2,5).
Let us assume that point A is A(m,n).
Using rule (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
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Answer:
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hamid has gain weight he now weighs 88kg
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Answer: what’s the question?
Step-by-step explanation:
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 25 books and each large box can hold 50 books. There were 3 more large boxes sent than small boxes, which altogether can hold 450 books. Determine the number of small boxes sent and the number of large boxes sent.
There were ____ small boxes sent and ____ large boxes sent.
Answers
Answer:
there were 4 small boxes sent and 7 large boxes sent
Step-by-step explanation:
let s= number of small boxes
let y= number of small boxes
each small box can hold 25 books, so s small boxes can hold 25s books. Each large box can hold 50 books, so l large boxes can hold 50lbooks. Therefore, the total number of books 25s+50l equals 450.
Since there were 3 more large boxes sent than small boxes, if we add 3 to the number of small boxes, we will get the number of large boxes, meaning l equals s+3.
system of equations:
25s+50l=450
l=s+3
substitute values
Malala is following this recipe for bread rolls.
She uses 200 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answers
Answer:
She will use:
4g salt
3.2g yeast
12 ml oil
140 ml water
Step-by-step explanation:
Since 200 is 40% of 500 we calculate 40% of all the other ingredients and you get your answer
Find ST.
W
S
16
V
32
ST
Answers
how to simplify 1.1(x+2)
Answers
Answer:
1.1(x+2) = 1.1x + 2.2
Step-by-step explanation:
I) Distribute the terms using the Distributive Property:
1.1(x+2)
= 1.1(x) + 1.1(2)
II) Simplify:
1.1(x) + 1.1(2)
= 1.1x + 2.2
How this helped :)
I
T
4
2.5
4.8
3
2
K
1.6
X
J
Are the triangles similar?
[ Select ]
someone please help me !
Answers
Answer:
no triangle IJK is not similar to triangle TXZ bcoz sides are not proportionate
What is the slope of the line that passes through the points (3, 4) and (-8, -2)?
Answers
Answer:
6/11
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-4)/(-8-3)
m=-6/-11
m=6/11
Enter the ordered pair that corresponds to point C
on the plot below.
10
8
6
4
2
0
0
1
2
3
4
5
6
7
Answer here
SUBMIT
Answers
Answer:
x = 4
y = 5
Step-by-step explanation:
Good luckk!
Here is a list or numbers. 6,7,2,4,6,6,9,5,3,3
Work out the medium
Work out the mean
Answers
Answer:
The medium - 6,6
The mean - 5.1 or 5
Step-by-step explanation:
The medium is the middle number(s)
The mean is when you average the numbers (adding them all up then dividing by how many numbers there are).
Answer: before u do all of this put the number in smallest to biggest the mean is u add all the number then when u get the answer u divide the number by how many numbers are there so 2 + 3+3+4+5+6+6+6+7+9= 51 now 15 divided by 10 =5.1 that is the mean
Now the medium is u put the number in smallest to biggest again 2334566679 now u have to find the numbers that are the same so u see how there is two 3's and three 6's in the numbers right so u have to look very carefully u could put 3 has the answer put that is not the answer because there is only two 3's and there is three 6's so which is bigger two 3's or three 6's three 6's is bigger so that is the answer.
Hoped it helped don't forget to drop a heart !!!
Step-by-step explanation:
Add the polynomials:
2a+3b+5a-7b Explain your response
Answers
7a - 4b
Step-by-step explanation:
Add the numbers ending with 'a' together, and then add the numbers ending with 'b' together.
First of all, I will put the letters beside each other.
2a + 5a + 3b - 7b
2a + 5a = 7a
3b - 7b = - 4b
Therefore, the answer is 7a - 4b.
What's the greatest ten you can multiply by 8 to get close to, but not go over 629
Answers
Answer:
i guss 8× 77 = 524 which is close to it
Answer: 8 x 70 = 560
please help thank you
Answers
x = -3
y= 2.5
P(x,y) = P(-3, 2.5)
Hope it helps!!
Plz help fast will mark brainliest
Answers
Answer:
1.8 , 2.2 , 2.6 thats it
doneeeeeee
Answer:
1.8,1.12,1.16
but don't mark me because I'm not sure for my answer
Quadrilateral RUST has a vertex at R(3,5).
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x, y + 3)?
Answers
Answer:B
Step-by-step explanation:AP3X
Can someone help me answer these questions
Answers
13. C
14. C
HELP I NEED HELP ASAP
Answers
Answer:
I think its D
Step-by-step explanation:
You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D
At the football game, 3 hamburgers and 6 soft drinks cost $27, and 3 hamburgers and 3 soft drinks cost $18. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answers
Answer:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x4x
And the cost of 6 soft drinks can be represented with this expression:
6y6y
Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
4x+6y=344x+6y=34 [Equation 1]
The following expression represents the the cost of 3 soft drinks:
3y3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=254x+3y=25 [Equation 2]
Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink
Answer:
3x + 6y = 27
3x + 3y = 18
x = $3, y = $3
Step-by-step explanation:
I will solve by using the elimination method.
3x + 6y = 27
3x + 3y = 18
Subtract top equation by bottom.
3x + 6y = 27
- (3x + 3y = 18)
_____________
0 + 3y = 9
3y = 9
y = 3
Plug y in for three
3x + 6*3 = 27
3x + 18 = 27
3x = 9
x = 3
So, your solution is x = $3, y = $3
Hydrate sports drink calls for 7 scoops for every gallon of water. Sarah thinks the drink is too weak, and she wants to change it. Describe how she can change either the number of scoops or the amount of water to make the drink stronger.
Answers
Evaluate the following with each given number.
f(x)=7x−x2+2
Answers
The line graph shows the amount of snowfall over a 6 hour period.
Between which hours did the least amount of snow fall?
Total Amount of Snow
1411
12
10
Amount of snow (in inches)
Hours
1
2
3
4
5
6
The least amount of snow fell between hours
and
Answers
Answer:
12 :)
Step-by-step explanation:
np
Answer:
12 :0
Step-by-step explanation:
Factorise the following
Answers
Answer:
D
Step-by-step explanation:
First take out a factor of 2:
2(1 - 25x^2)
Then factor the difference of squares:
2(1 -5x)(1+5x)
G
H
2.5(JK)
12
к
L
F
What is HL?
Answers
=================================================================
Work Shown:
The diagram shows that JK = 12 and GF = 2.5*(JK) = 2.5*12 = 30
The midsegment HL will be the average of the two lengths it is parallel to.
We'll add up the values and then cut the result in half
HL = (JK+GF)/2
HL = (12+30)/2
HL = 42/2
HL = 21
Barnes and Noble pays a publisher $1.50 for a magazine. The magazine is marked-up 12%. Find the new SELLING PRICE of the magazine.
Answers
Answer: The selling price will be $1.68
Step-by-step explanation:
If the magazine is marked-up by 12% , then you will multiply 12% by the amount of money then add it to the same amount of money.
1.50 * 12% = 0.18
1.50 + 0.18 = 1.68
A charity distributed 80 000 emergency packages during 2018. This number is
expected to increase by 15% each year.
Calculate how many emergency packages the charity expects to distribute in 2021.
Answers
Answer:
121670
Step-by-step explanation:
The number of packages can be defined with the function:
P(t) = P(t-1)*1.15 where t = the years and 1.15 represents the 15% increase.
Packages during 2018: P(2018) = 80000
Packages during 2019: P(2019) = P(2018)*1.15 = 92000
Packages during 2020: P(2020) = P(2019)*1.15 = 105800
Packages during 2021: P(2021) = P(2020)*1.15 = 121670
-6/7 × (-3/8) answer?/
Answers
Answer:
Step-by-step explanation:
0.32142857142
Answer:
-6/7*-3/8= -18/56= -9/28
hope it is right answer for it!!
(-10) (-8) + (+1) + (-6) + (-30)
Answers
Answer:
-53
Step-by-step explanation:
it is -10 -8 +1 -6 -30
PLEASE ANSWER ASAP !!!
Answers
Answer:
4/-5
Step-by-step explanation:
How do I do this? Cause I don’t know how. Also please show work. Don’t only say the answer. Whoever shows the work and answer gets a thanks and a brainliest.
Answers
Shaded area= 15-(3*4*1/2+2*5*1/2)
=15-(6+5)
= 15-11
= 4 sq units
Determine the slope given two points. Point 1 (6,-12) Point 2 (15,-3
Answers
Answer:
slope is 1
Step-by-step explanation:
take the two ys and subtract and take the two xs and subtract and then put y/x
Hope this helps! :)
Answer:
1
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(-3 + 12) / (15 - 6)
9 / 9
= 1
So, the slope is 1
