Answer:
(x,y) → (ax,ay) .
Step-by-step explanation:
A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.
If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).
So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of a:
(x,y) → (ax,ay) .
Answer:
[tex]\huge\boxed{(ax, ay)}[/tex]
Step-by-step explanation:
In order to dilate the coordinates of a point, we want to make it [tex]a[/tex] times bigger. In order to do this, we can multiply the x and y values by our scale factor, a. This is called mapping. What it does is it basically multiplied our points by a specific number so that we end up with a figure that is [tex]a[/tex] (the scale factor) times bigger than the original.
So in order to make an expression for this, we multiply the x and y coordinates by a. So we have ax and ay.
Hope this helped!
Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ =RS. If PS = 21 and PR = 16, what is the value of QR? QR = (Simplify your answer.)
Greetings from Brasil...
→ Collinear points = points belonging to the same line
→ PQ is said to be equal to RS. Let’s call this distance X
→ let's call QR Y
With this information and the figure in the annex we can conclude that:
refer to attached
PQ = X
QR = Y
RS = PQ = X
then
PR = PQ + QR
16 = X + Y i
PS = PR + RS
21 = 16 + X
X = 5 putting in i
16 = X + Y
16 = 5 + Y
Y = 11
So,
PQ = 5QR = 11RS = 5Collinear points are points on the same line.
The value of QR is 11
From the question, we have:'
Q between P and RR between Q and SThis means that:
[tex]\mathbf{PR = PQ + QR}[/tex]
[tex]\mathbf{QS = QR + RS}[/tex]
[tex]\mathbf{PS = PR + RS}[/tex]
The given parameters are:
[tex]\mathbf{PS = 21}[/tex]
[tex]\mathbf{PR = 16}[/tex]
[tex]\mathbf{PQ = RS}[/tex]
Substitute the above values in [tex]\mathbf{PS = PR + RS}[/tex]
[tex]\mathbf{21= 16 + RS}[/tex]
Solve for RS
[tex]\mathbf{RS = 21- 16}[/tex]
[tex]\mathbf{RS = 5}[/tex]
This means that:
[tex]\mathbf{PQ = RS = 5}[/tex]
Substitute 5 for PQ in [tex]\mathbf{PR = PQ + QR}[/tex]
[tex]\mathbf{PR = 5+ QR}[/tex]
Substitute [tex]\mathbf{PR = 16}[/tex] in [tex]\mathbf{PR = 5+ QR}[/tex]
[tex]\mathbf{16 = 5+ QR}[/tex]
Solve for QR
[tex]\mathbf{QR = 16 - 5 }[/tex]
[tex]\mathbf{QR = 11}[/tex]
Hence, the value of QR is 11
Read more about collinear points at:
https://brainly.com/question/1593959
What is the value of the expression?
-16+ 12
-28
-4
4
28
Answer:
-4 is the corect answer because when your adding integers depending if your number is negative or positive your sum will either go right or left up or down
Step-by-step explanation:
as shown with the attached file
Question 7
2 pts
Carlos is planning to buy a new video game. He checked the price for two
games that he would like to buy. The Super Mario game costs $56.48. The
Zelda game costs $38.99. Estimate how much money will Carlos save if he
buys the Zelda game. Explain how you rounded the numbers. Include an
equation to represent how you estimated.
Edit
Insert Format Tools Table
12pt
Paragraph
BI
U
T?
:
Answer:$15-$20
Step-by-step explanation:
56.48 is about 55 38.99 is about 40. 55-40 = 15
Draw the diagram and find x. Show your work. A.X=7 B.x=15 C.x=11
Answer : x= 11°
AngleA=44°
AngleB=55-9=46°
what is 1 7/8 rounded to the nearest yards?
[50pts] In the image above, are lines s and r parallel? Explain.
Answer/Explanation:
Yes, lines s & r are parallel, because they do not meet at any point on the plane!
Please mark brainliest!!! =D...Also, it says 25 points, not 50...
Answer:
yes! lines s and r are parallel meaning they will never touch.
Step-by-step explanation:
Find the distance between (5,3)and(9,7)
Answer:
wouldnt it be 4,4?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Calculate the distance between two points by filling in the x and y values of both coordinates. How do you find the distance between two points? Distance Formula : Example: For two points, (3,2) and (15, 10) the distance is calculated as: Distance = 14.42 (rounded to the nearest 100th)
Which of the following is a zero-dimensional geometric object?
A. A ray
B. A point
C. A line
D. A plane
Answer:
a point
Step-by-step explanation:
Answer
A point.
Step-by-step explanation:
which inequality is true?
1/2 is less than 1/3
3/4 is greater than 2/3
-1/4 is less than -2/3
-1 is greater than 3/4
The correct option which valid for inequality is the first one that is 3/4 is greater than 2/3.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
In the given option
3/4 is greater than 2/3 is the right one
1/2 is less than 1/3 is not true because 1/2 is more than 1/3.
-1/4 is less than -2/3 is not true because -1/4 is not less than -2/3,
-1 is greater than 3/4 is not true because -1 is not greater than 3/4s.
Learn more about inequality here;
https://brainly.com/question/20383699
Austen's graduation picnic costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Answer:
y=2x
Step-by-step explanation:
x = attendees
y = total of cost for attendees
we know each attendee cost $2 but we don't know how many attendee are there in order to find the total cost y.
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons,
explain how to determine what the y-intercept is and where it would be located on a graph.
Please help me, i'm stupid and i don't know where, or how to find this.
Answer:
I am stuck on that question tooo
Step-by-step explanation:
Step-by-step explanation:
First, let's write an equation.
h= numbers of hours, the instructor will charge $8 per hour.
s= amount of $
"12" is the initial fee.
From this information the equation will look like:
s=8h
However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)
I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".
(7x+2y)^2-25y^2 factorise this pls.
pls help me!! Any body there!!
Answer:
(7x + 5y) (7x - 5y)
HELP ME PLS explain why
Answer: 110 square cm
=======================================================
Explanation:
All sides of a regular polygon are the same length. So the bottom side is also 8 cm.
Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)
area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22
area of five triangles = 5*(area of one triangle) = 5*22 = 110
Help please picture attached
Answer:
-10
Step-by-step explanation:
3/5(b)=-6
Divide -6 by 3/5, you get -30/3.
Determine if the function is one-to-one.
Answer:
No
Step-by-step explanation:
From what I saw on google for what "one to one" means, It's basically meaning that the bottom of that quadratic function is at point (0 , 0) and hits both (-1 , 1) and (1 , 1) on the graph.
80iu612345678909876533456
.
Answer:
weird
Step-by-step explanation:
The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its dimensions?
Hey there! I'm happy to help!
Let's call the length and width L and W respectively.
L=2W+8
2W+2L=124
We plug our value of L into the second equation and solve for W.
2W+2(2W+8)=124
We undo the parentheses with the distributive property.
2W+4W+16=124
Combine like terms.
6W+16=124
Subtract 16 from both sides.
6W=108
Divide both sides by 6.
W=18
We plug this W value into the first equation to solve for L.
L=2(18)+8
L=36+8
L=44
So, the length is 44 feet and the width is 18 feet.
Have a wonderful day! :D
what will be number of zeros in the square of the number 100? pls answer fasttttttttttt
Answer:
4
Step-by-step explanation:
The square of 100 means that 100 is being multiplied by itself. So the square of 100 is 100x100 = 10,000
Whenever you multiply a number by a multiple of 10, you simply add the number of 0s onto the end of the original number, so 100 originally has 2 zeros, so multiplying by 100 will add on another 2 zeros.
So, the number 10,000 which is the square of 100 has 4 zeros.
Hope this helped!
D
Question 4
True or False:4.65 is less than square root 32 is
True
False
Is there a transformation that maps shape 1 into shape 5
Answer:
yes
Step-by-step explanation: if you reflect the shape over the x-axis it falls right onto #5
Hope this helps :)
to
What is mZXYZ
57
147
33
123
Answer:
57°
Step-by-step explanation:
[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\
\therefore m\angle XYZ + m\angle NOP = 90\degree \\
\therefore m\angle XYZ + 33 \degree = 90\degree \\
\therefore m\angle XYZ = 90\degree - 33 \degree \\
\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}
[/tex]
What is -4.26 + 1.3
Please help me thanks
Answer:
-2.96
Step-by-step explanation:
Can yall help me im having trouble
Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a child ticket. Julie's family spends $35.75. What is the cost of the adult ticket?
HELP PLS
Answer:
$9.25
Step-by-step explanation:
let x = the cost of a child ticket
3(x)+2(x+3.50)=35.75
3x+2x+7=35.75
5x=28.75
x=5.75 cost of child ticket
5.75+3.50= 9.25
Answer:
$9.25
Step-by-step explanation:
Start by multiplying 2 by 3.5. This will give you 7. Then subtract 7 from 35.75, which gives you 28.75. This is the full amount for five child tickets. Then you want to divide 28.75 by 5, giving you 5.75. This is the amount for a single child ticket, and because we know that an adult ticket is 3.50 more than a child ticket, you add 3.50 and 5.75, which gives you your final answer of 9.25.
Evaluate 8.5 +(-A) for A = -7.1
Answer:
15.6 = A
Step-by-step explanation:
8.5 + ( - (-7.1))
8.5 + 7.1
15.6
40. A pendulum in a museum swings through
an angle of 60° in 17.3 s. The linear velocity
of the pendulum is 1.32 ft/s. Determine the
length of the pendulum.
Answer:
21.81 ft
Step-by-step explanation:
For an arc of measure α and radius r, the arc length is ...
s = r·α . . . . . . where α is in radians
Then the linear speed is ...
s' = r·α'
Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...
r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft
r ≈ 21.81 ft
The length of the pendulum is about 21.81 feet.
Easy question, what is the perimeter of this?
Answer:
14x - 6
Step-by-step explanation:
2(5x - 3) + 2(2x)
10x - 6 + 4x
14x - 6
hopefully this helps you :)
pls mark brainlest ;)
7
(a) Olivia deposits $8600 in a bank. The interest rate is 2.6% per annum.
Find the total interest she will earn in 4 years.
Answer:
Below in bold.
Step-by-step explanation:
You do not say if the interest is simple or compound.
Simple Interest: I = PRT/100
= (8600* 2.6 * 4)/ 100
= $894.40.
Compound Interest:- amount after 4 years
= 8600(1 + 0.026)^4
= $9529.89
So the compound interest
= 9529.89 - 8600
= $929.89.
A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?
Answer:
Hence, the watcg must be bought at rupees 4888
Step-by-step explanation:
Let the desired selling price of the watch be x
Cost Price of the watch = 4444
We know that if Cost Price < Selling Price,
Selling Price - Cost Price = gain
When we substitute we get,
x-4444=444
x= 4888
Help on this question pls
Answer:
The answer is D, -11 degrees.
Step-by-step explanation:
Angle RQP is total sum of angles RQU, (96 + x) and UQP, (x + 57).
Angle RQP = 131.
(96 + x) + (x + 57) = 131
153 + 2x = 131
2x = -22
x = -11.
Therefore, answer is -11 degrees.