Answer:
x=-6+y
Step-by-step explanation:
2x
656&7-
=-6+2x
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 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(___,____)
Given:
The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: 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]
According to the given information, 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)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (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]
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (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).
30 times 40 equals whatttt
Answer:
1200 is ur wsener
Step-by-step explanation:
Answer:
1,200 is the result to the problem
A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?
Answer:
D, 180.
Step-by-step explanation:
2400 divided by 200 is 12, which means 2400 is 12 times 200
Next, times 15 by 12 which is 180.
How do you write 1/2 as a percentage?
Answer:
lol 50%
Step-by-step explanation:
hope this helps.
Answer:
50%
Step-by-step explanation:
=™=®=™™÷™=™{ k jvj cccchch
help i’ll mark brainliest
Answer:
12
..... ....... ......
*PLEASE ANSWER!!! THANK YOU!!*
John waits on tables and is paid $8.00 an hour. In a 40-hour period, he earned $210.50 in tips. What were his total earnings?
a.) $530.50
b.) $1,684
c.) $520
Answer:
a.
Step-by-step explanation:
His total earning including tips of 210.50 dollars is a.) $530.50
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.
Given, John waits on tables and is paid $8.00 an hour. In a 40-hour period,
∴ His earning in those 40 hours is,
= (40×8) dollars.
= 320 dollars.
He also earned 210.50 dollars in tips.
∴ His total earnings is,
= (320 + 210.50) dollars.
= 530.50 dollars.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ2
Find the range for the list of numbers
21, 18, 24, 19, 27
Question 3 options:
6
9
21
21.8
Answer:
9
Step-by-step explanation:
i did the same thing on k12
What is the sum of the polynomials given?
A carpenter has wood planks that are 4 yards, 8 yards, 7 yards, and 3 yards long. what is the mad of these measurements
Answer:
6
Step-by-step explanation:
what you have to do to find that out is add them all togeather the divide that whole by the amount of numbers you were adding so in this case it would be 3 so you would add 8,7, and 3 to get 18 then divide that by 3 to get 6.
hope this helps
pls mark brainliest
identify the zeros of the function
5
1 and 2
1 and -2
-1 and 2
Answer:
my answer is the first one..............
Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?
Answer:
64
Step-by-step explanation:
you divide 256 four times
ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST
Answer:
option A is the answer hope you find it helpful
HELP I NEED THIS FOR MY HOMEWORK
Write each function in standard form.
5. y= 5(x - 2)(x + 1)
6. y=2(x + 6)(x + 3)
7. y=-2(x + 4)(x - 5)
8. y=-4(x + 2)(x + 3)
Answer:
5.y=5x-10+5x+1
y=10x-9
6.y=2x+12+2x+6
y=4x+18
7.y=-2x-8-2x+10
y=-4x+2
8.y=-4x-8-4x-12
y=-8x-20
What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Select numbers from the pull-down menus to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
140
Step-by-step explanation:
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answer:
4.50r + 6.00f ≤ 35.00
what is greater1/2 or 1/5
Answer:
1/5
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
5x³-45x (Factor COMPLETELY)
Step-by-step explanation:
5x³ - 45x
5x(x² - 9)
Or 5x(x-3)(x+3)
[tex]\tt{} {5x}^{2} - 45x[/tex]
[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]
[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]
I don’t know if it’s true or false
Answer:
false
Step-by-step explanation:
ur teacher is dum
In 2016, there were about 36 million teenagers (ages 13-17) in the United States. They each sent an average of 850 text messages per month. How many text messages did all of the teenagers in the United States send each month? Express your answer in scientific notation
Answer:
256
Step-by-step explanation:
PLZ PLZ PLZ ANSWER!!!!!!
Answer: it would be B "4.05"
Step-by-step explanation:
2.5 x 1.8 x 0.9 = 4.05
Answer:
4.05 m^3
Step-by-step explanation:
Calculate volume with this formula:
LxWxH (length x width x height)
0.9 x 2.5 x 1.8 = 4.05
Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.
So our answer is 4.05 m^3.
please help and explain
Answer:
Step-by-step explanation:
Fraction of surveyed women who voted for football = 25/72
Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]
[tex]=\frac{625}{18} = 34.72[/tex]
= 35%
Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?
THE ANSWER FOR THIS IS
30%
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box
which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?
Answer:
120 cups of sugar
8 ounces of paint
Step-by-step explanation:
Given that :
To cover all sides of the rectangular prism with paint, that is the surface area.
The amount of sugar held by the prism is function of its volume.
Hence, doubling the dimension :
The surface area, in unit² is a obtained by
Initial paint required * 2^2
2 * 2² = 2 * 4 = 8 ounces of paint.
For sugar :
It has to do with volume, unit³
Initial * double³
15 * 2³
15 * (8) = 120 cups of sugar
Which statement best uses this information to explain why the AA criterion can be used to prove ABC~DBE
Answer:b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Jerry and Lino participated in a quiz contest. They scored 46 points altogether. If Jerry scored 18 points, how many points did Lino score?
Write an equation and solve. Let x = Lino's points.
Answer:
46=18+x
Step-by-step explanation:
x+18=46
-18 -18
x=28
-2x<10 someone PLEASEE
Answer:
Step-by-step explanation:
-2x < 10
divide both sides by -2
x > -5
note that the direction of the inequality changes
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
can someone help meeee
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
What fraction of an hour is 48 minutes
What fraction of an hour is 48 minutes
Answer:: 0.800
Answer:
4/5
Step-by-step explanation:
Total numbers of minutes in an hour = 60
48/60
4/5 (simplest form)