M (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. Switch the x- and y-coordinates: (6, –3) 2. Multiply the new x-coordinate by –1: (6(–1), –3) 3. Simplify: (–6, –3) Mary Beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. Examine the steps to determine whether she made an error. The student made .
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
If a point (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).
Give point M (3, –6) is rotated 90° counterclockwise:
Step 1: Interchange the x- and y-coordinates to get (-6, 3)
Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)
Step 3: Simplify to get (6, 3)
Therefore she made an error in step 1
Answer: An error in step one
Step-by-step explanation:
Determine the function rule for the following input/output table.
inputs
2
3
4
5
6
outputs
21
31
41
51
61
Answer:
Every time the input goes up by 1 the output increases by 10.
Step-by-step explanation:
8 - 5.5 =
10.5 - 8=
13 - 10.5 =
15.5 - 13=
1) 2.5
2) 2.5
3) 2.5
4) 2.5
Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?
Answer:
34
Step-by-step explanation:
184 divided bye 4
Answer:
37 miles
Step-by-step explanation:
148/4
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
-4
-30
4
30
Answer:
regular 4 is correct
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
yooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
yooooooooooooooooooooooooooooo
help please!
Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.
Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.
Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.
As per the given graph,
Triangle GHI and triangle DEF are plotted.
If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.
And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.
Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".
To learn more about congruence,
https://brainly.com/question/12413243
#SPJ5
Someone please help I will give brainliest to the correct answer
Answer:
X inter= (-1.375,0)
Y inter= (0,2.2)
Step-by-step explanation:
I used "desmos graphing calculator"
If answer is right, check out desmos graphing calculator. It is a really good website where you enter equation and it graphs it for you.
I use desmos for questions that have anything to do with graphs
Answer:
x intersection (-1.375;0)
Y intersections (0;2.2)
Step-by-step explanation:
If u wanna find solutions to this kind of problems first write the equation if x/y=0 put it in equation and calculate to get y/x value ___ That way you will know in which point plot intersects y/x axis
What is the y-intercept of the equation?
Answer:
Step-by-step explanation:
The above equation is of the form y=mx+c
c is the y intercept so c=2
What is the slope of the line?
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?
Answer:
The number of heating degree days is 16.5.
Step-by-step explanation:
First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:
[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)
[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]
[tex]T = 48.5\,^{\circ}F[/tex]
And the number of heating days is:
[tex]H = 65-48.5[/tex]
[tex]H = 16.5[/tex]
The number of heating degree days is 16.5.
please show work
A car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles?
Answer:
3.7hours
Step-by-step explanation:
Step one:
A car travels 360 miles in 8 hours
the speed is calculated as
speed= distance/time
speed= 360/8
speed= 45mph
Step two:
How much time will it take traveling 168 miles?
having found the speed, which is the rate at which the car is tavelling
time= distance/speed
time= 168/45
time= 3.7hours
what is an equation of the line that passes through the points (1,2) and (2,-1) 
Answer:
[tex]y = - 3x + 5[/tex]
You should also try solving it yourself to make sure I did not make any mistake.
Step-by-step explanation:
Equation
[tex]y = mx + b[/tex]
First we need to know the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]slope = \frac{2 - ( - 1)}{1 - 2} = \frac{3}{ - 1} = - 3[/tex]
So far the equation will look like this
[tex]y = - 3x + b[/tex]
To get the b you insert a point into the equation like this. I picked point (1,2)
[tex]2 = - 3 \times 1 + b[/tex]
[tex]b = 5[/tex]
We could also check it with the other point and see if we get the same answer.
[tex] - 1 = - 3 \times 2 + b[/tex]
[tex]b = 5[/tex]
So the equation is
[tex]y = - 3x + 5[/tex]
(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
Selling Sunset
Answer:
The Office
Step-by-step explanation:
The football team has a total of 20 jerseys. There are 2 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
10%
Step-by-step explanation:
The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.
Answer:
10%, remember to hit that thanks button
Step-by-step explanation:
what is π + e its easy
Answer:
5.85987448205
Step-by-step explanation:
Answer:
The answer is e+pi
Step-by-step explanation:
The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.
5
9
-9
-5
Answer:
its C
Step-by-step explanation:
I need help. If you can, thank you.
Answer:
Y = 2x + 1
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Identify the range of the function shown in the graph.
A.–6 ≤ x ≤ 6
B.y is all real numbers.
C.0 ≤ y ≤ 8
D.y > 0
Please help me I dont know how this works.
Answer:
Step-by-step explanation:
Average =
Sum
Count
=
17.3
3
= 5.7666666666667
Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:
Cat toy $4
Cat food $12
Litter box $16
Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.
Answer: 16x+96
Step-by-step explanation:
Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96
I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.
Answer:
1) a = 1 ; b = 5 ; c = 0
2) a = 1 ; b = 3 ; c = 10
3) a = -5 ; b = -7 ; c = 2
4) a = 1 ; b = 2 ; c = -9
5) a = -7 ; b = 6 ; c = -1
6) a = 4 ; b = -10 ; c = -7
Step-by-step explanation:
a , b & c are just coefficients of the equation
Answer: [tex]x^{2}[/tex] =5x=0
Step-by-step explanation:
Increase £16470.45 by 3.5% by 2DP
Answer:
17,046.92 i think
Step-by-step explanation:
WHAT in the valuE of 3n=1 when n=4?
Answer: 4
Step-by-step explanation:
Can you find the solution Im so confused
forgot to put photo but this is a repost HELP EMEBAHNDJFKG
Answer:
a
Step-by-step explanation:
Hi I know its a lot of rate of change I just don't understand
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 0)
Point (1, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{1-0}[/tex]Subtract: [tex]m=\frac{4}{1}[/tex]Divide: [tex]m=4[/tex]Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
Question options:
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river
Explanation:
Formula to calculate standard deviation = √p(1-p)/n
Given p= population proportion
n= sample size
From the question,
We are given p(population proportion of catfish in the river)= 0.47
n(sample size of fish collected from river) = 25
The standard deviation using the formula above = √0.47(1-0.47)/25
= 0.0998
The 10% condition demands that a sample size be not less than 10% of the population
To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,
10% of 250= 0.10×250=25 fish
Therefore the option B chosen is correct
Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population of the fish doubles every year.
Use x to represent the number of years and y to represent the population of the fish.
Enter an equation that represents this scenario in the box.
PS: The answer is either y=500(2)^x or f(x)=500(2^x)
I'm not sure which one is correct.
Answer:
go with the one you Think is the right answer That is what my mom says most of the time I'm right
