Answer:
Rotation of 180° about the origin,
Followed by a translation (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Given
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S" = (5,2)[/tex]
Required
Determine the transformations
From the list of given options (B) answers the question.
Rotation of 180° about the origin,
When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)
So:
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
becomes
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
A translation (x, y) → (x + 1, y + 1)
This implies that 1 is added to the x and y coordinates
So:
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
becomes
[tex]R" = (2 + 1,-4 + 1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S"=(4 +1,1+1)[/tex]
[tex]S" = (5,2)[/tex]
A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test.
The table below shows the data:
(Table In Image)
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer.
Part B: Write a function which best fits the data.
Part C: What does the slope and y-intercept of the plot indicate?
yes there is a a correlation
f(x) = 4x + 60
slope = 4
y-intercept = 60
There is a correlation between the number of hours spent on studies and the score on music test.
How to explain the correlation?As we increase the 0.5 hour on studying, then the music score increases by 2. The function which best fits the data for the correlation is y=60 + 4x
The slope and y-intercept of the plot indicate? that Y= score obtained in music test and X=number of hours spent on studying. The slope of the above equation represent the rate of increase in music score with respect to an increase in the number of hours spent on studying.
The y-intercept gives the music score when the number of hours spent on studying is zero.
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i need this quick this is due soon
Answer:
using a reflection it is possible to place one on each other and the shape does not overlap while reflecting
Step-by-step explanation:
Brenda and Cody are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Brenda sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151. Cody sold 1 small box of tangerines and 3 large boxes of tangerines for a total of $68. Find the cost each of one small box of tangerines and one large box of tangerines
Answer:the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
Step-by-step explanation:
Step 1
Let price of small box of tangerines be represented as x
and price of large box of tangerines be represented as y
Such that the equqtion for Brenda who sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151 be represented as
12x + y = 151--------equation 1
and
the equation for Cody who 1 small box of tangerines and 3 large boxes of tangerines for a total of $68
x + 3y= 68-------equation 2
Step 2
12x + y = 151--------equation 1
x + 3y= 68-------equation 2
By eliminaton methd multiply equation 2 by 12
x + 3y= 68-------equation 2 x (12)
12x + 36y=816 --------equation 3
Subtract equation 1 from equation 3
12x + 36y=816 --------equation 3
-12x + y = 151--------equation 1
35y=665
y=665/35 =19
to get x , we substitute the value of y=19 into equation2
x + 3y= 68
x+ 3 x 19=68
x=68-57
x=11
Therefore the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
Please help, thanks for understanding
Answer:
-5 1/4
Step-by-step explanation:
is 7:11 eqaul to 21: 33
Answer:
yes
Step-by-step explanation:
A baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29. How many runs were scored in the second game?
Answer:
a lot
Step-by-step explanation:
If baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29.Then 11 runs were scored in the second game
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the runs scored by team in first game be x.
The team scored 5 more runs in its second game than its first.
x+5
The team scored twice as many runs as the first game in the third game.
2x
The total number of runs in all three games was 29
This we can write as x+x+5+2x=29
Add x variable terms
4x+5=29
Subtract 5 on both sides
4x=24
x=6
So the score in the second game will be x+5=6+5=11
Hence, 11 runs were scored in the second game
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Jasper withdrew $45.00 from her savings account. She then used her debit card to buy groceries for $30.15, and then deposited a check for $14.65. What was the total amount of change in Jasper’s account?
Answer:
A money decrease of $60.50 (or -60.50 increase and change)
Step-by-step explanation:
? - 45 - 30.15 + 14.65 = -60.50
Since we are finding the change it is best to replace the question mark with 0 so that it is easier to solve.
0 - 45 = -45
-45 - 30.15 = -75.25
-75.25 + 14.65 = -60.50
6. Complete the pattern: 4, 8, 12, 16,
Answer:20,24,28,32
Step-by-step explanation:
Answer:
20, 24, 28, 32
Step-by-step explanation:
The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.
URGENT DUE TODAY I WILL GIVE BRAINLIEST I PROMISE
The medians of a right triangle that are drawn from the vertices of the acute angles have lengths of 2 √13 and √73. What is the length of the hypotenuse?
Answer:
10 units
Explanation:
pls help (-12) ⋅ c = 12
c = ?
Answer:
c= -1
Step-by-step explanation:
A negative number multiplied by another negative number equals a positive number, so c must be negative. 12 times 1 equals 12, so c must be -1.
simplify 20 divided by 4+6.2 HURRY
Answer:Your answer is 2, hope my answer helped!
Step-by-step explanation:
The simplified value of 20 divided by 4+6.2 is approximately 1.96. This means that if we add 4 and 6.2 to get 10.2, then divide 20 by 10.2, the result is approximately 1.96.
To simplify the expression 20 divided by 4+6.2, we need to perform the addition first, and then perform the division.
First, let's evaluate 4 + 6.2:
4 + 6.2 = 10.2
Now, we have 20 divided by 10.2:
20 / 10.2 = 1.96078...
Rounded to a reasonable number of decimal places, the result is approximately 1.96.
Therefore, the simplified value of 20 divided by 4+6.2 is approximately 1.96. This means that if we add 4 and 6.2 to get 10.2, then divide 20 by 10.2, the result is approximately 1.96.
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question is in the picture
Answer:
The second and fourth options
Step-by-step explanation:
A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.
Identify extra or missing information. Solve if possible. Jenna makes $8 an hour babysitting. She works 3 days per week. What is the total amount she makes in a week?
Answer:
The missing information is: how many hours does she works per day?
Step-by-step explanation:
Amount Jenna makes per hour babysitting = $8
Number of days she works per week = 3 days
The missing information is: how many hours does she works per day ?
ASSUME she works 24 hours per day for 3 days
Total amount Jenna earns in a week = $8 × 24 hours × 3 days
= 8 × 24 × 3
= $576
The slope of the line below is -3. Which of the following is the point-slope form of the line?
Answer:
A. y+6 = -3(x-2)
Step-by-step explanation:
The slope point formula is:
y - y₁ = m (x - x₁)
Our slope is negative 3, and our coordinates given are 2 and -6.
Substitute -3 for m, -6 for y₁, and 2 for x₁
y - (-6) = -3 (x - 2)
Negative and negative multiplied together make postive
A. y+6 = -3 (x-2)
URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!
The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?
Answer:
Step-by-step explanation:
Part a
When the ball hits the ground it has covered the height of zero meters so we replace h(t) with zero
[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]
So it will take 8 seconds for the ball to hit the ground we another value
t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground
Part c
The ball reaches its maximum height when the velocity is zero.
So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.
[tex]v=-10t+40[/tex]
so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.
[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]
so now we insert the value of t = 4 into the equation of h(t) to get the height.
[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]
so the maximum height of the ball is 80 meters.
Part d
The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.
So the point is actually at the Origin (0 , 0).
Part e
We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as solved from part A
We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C
Graph attached.
Will mark brainliest for whoever answers
HELP HELP PLS The population city in 2005 was 20,000. By 2015, the city's population had grown to
33,500. If the population growth follows a linear model, what is the projected
population for 2020?
Enter you answer as an integer
Answer:
40250
Step-by-step explanation:
Every 10 years the population goes up by 13,500. So divided 13500/2=6750. Then add6750 to 33500
Identify which equations have one solution, infinitely many solutions, or no solution. PLEASE HELP! I will rate the answers!
2.2z+3z=4.5-3.2
2.3y+3.2-y=2.1+1.3y+1.1
2/3x+2/3+1/5x=2/3x
20+4r=32-2r
Answer:
2.3y+3.2-y=2.1+1.3y+1.1
Step-by-step explanation:
The first equation has one solution: z = 0.25.
The second equation has infinitely many solutions.
The third equation has one solution: x = -10/3.
The fourth equation has one solution: r = 2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
(a) 2.2z+3z=4.5-3.2
Simplifying the left-hand side, we get: 5.2z = 1.3
z = 1.3/5.2 = 0.25
Therefore, the equation has one solution: z = 0.25.
(b)2.3y+3.2-y=2.1+1.3y+1.1
1.3y + 3.2 = 2.2 + 1.3y
Therefore, the equation has infinitely many solutions.
(c) 2/3x+2/3+1/5x=2/3x
Simplifying the left-hand side, we get: 1/5x + 2/3 = 0
1/5x = -2/3
x = -10/3.
(d) 20+4r=32-2r
6r = 12
r = 2
Therefore, the equation has one solution: r = 2.
Hence, The first equation has one solution: z = 0.25.
The second equation has infinitely many solutions.
The third equation has one solution: x = -10/3.
The fourth equation has one solution: r = 2.
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If ∠1≅∠2, then ___...
a) ∠5≅∠6, angle 5 is congruent to angle 6
b) ∠3≅∠4, angle 3 is congruent to angle 4
c) XK≅YK
d )GK≅HK
e)All of the above are true
Answer: All of thé above
Step-by-step explanation:
plz help! (will make brainliest!)
Answer:
7.69
Step-by-step explanation:
You can set those two equations equal to each other and then solve.
4/5x -3 = -1/2x + 7
is f(-2) positive or negative
Answer:
Depends on [tex]f(x)[/tex]
Step-by-step explanation:
Example:
if [tex]f(x) = |x|[/tex]
then [tex]f(-2) = 2[/tex]
if [tex]f(x) = x ^ 3[/tex]
then [tex]f(-2) = -8[/tex]
research: even & odd functions.
Answer:
negative
Step-by-step explanation:
because in number 2 got the little line in one side
help me and get brainiest, like, and 5 starts!
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60%, percent of the items on our list," her father says. Anastasia sees 12 items in the cart.
Answer:
20
Step-by-step explanation:
Help w this pls it would save me
Pleasereeee
Answer:
0.6 over 0.6. Or just 1.
Step-by-step explanation:
The definition of a budget, "A record of income and spending and a plan for managing money." Budgets are used to have a record of the things that you have spent but, are also a way of planning in advance so that you can better manage your money, and know how you will pay your bills. With this in mind, write a paragraph explaining why it is important to have a budget, what are some of the reasons you will have one and why you think it will be important to use your net income instead of gross income on your budget. (Paragraphs contain a minimum of 3-5 sentences.
COULD SOMEONE WRITE THIS FOR ME?
100 POINTS A FALLOW BRAINLESST AND A REQUEST OF YOUR PICKING.
THANK YOU THANK YOU
♡ THANK YOU!♡
just try your best!!!!!!!!!!!!!!!!!!!!!!
In triangle ABC, m angle A = 30° and m angle B = 60°. Matches these in the order from smallest to largest. AB, BC, AC
Answer:
ab, ac, bc
Step-by-step explanation:
a=30, b=60, c=180-(30+60) = 180-90=90
Find the midpoint of the line segment with end coordinates of: ( − 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.
can anyon help i have no idea
Answer:
3.65 through 3.74
Step-by-step explanation:
Can I conclude ? (Please don’t be wrong I’ll give brainlist)
Answer:
yes because of the side-angle-side theorem
Step-by-step explanation:
''The world shall know pain'' Me: Pain or Pain???????????????
Answer:
PAIN
Step-by-step explanation: