Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answers
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{0+4}{-1-1}[/tex]
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
Related Questions
I need help fast
help me please
Answers
Answer:
f(2) = -5
Step-by-step explanation:
f(2) means that x = 2.
We are trying to find the y-value when x = 2.
When x = 2, we see from the graph that our y-values is equal to -5.
Therefore, f(2) = -5
The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?
Answers
Answer:
F(C)<250
Step-by-step explanation:
To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.
F(X)=y
We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.
f(C)=C/20
Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.
F(C)<250
:)!
PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!
Answers
Answer: x = 13
Step-by-step explanation:
They are equal so set them equal and solve for x.
(4x+1) = 53
4x = 52
x = 13
Answer:
Since the lines l and m are parallel,
angle (4x + 1) and angle 53 are both corresponding angles
We know that corresponding angles are equal, so:
4x + 1 = 53
4x = 52
x = 13
Devante invests $4000 in two different accounts. The first account paid 6 %, the second account paid 11 % in interest. At the end of the first year he had earned $320 in interest. How much was in each account?
$
at 6 %
$
at 11 %
Answers
Answer:
Let x represent the amount of $ in the 4% account and y in the 2% account.
Then x + y = $4000 (total savings).
Interest at 4% would be x*0.04*1 = 0.04x, and
Interest at 2% would be y*0.02*1 = 0.02y.
Then 0.04x + 0.02y = $140 interest, total.
We must solve this system of linear equations.
Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:
4x + 2y = $14000 We already know that x + y = $4000, so y = $4000-x.
Then 4x + 2y = $14000 becomes 4x + 2($4000-X) = $56000.
Simplifying, 4x + $8000 - 2x = 14000.
2x = $6000
x = $3000 at 4%
y = $1000 at 2%
i hope it helps :)
Step-by-step explanation:
Find the distance and midpoint for the points (3,4) and (19, 16).
The distance is
The midpoint is a (, )
Answers
Given parameters:
Coordinates of the points = (3,4) and (19, 16)
Unknown:
The distance between the points = ?
The midpoint = ?
Solution:
The distance between two points can be mathematically solved using;
D = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
where x₁ = 3, x₂ = 19 and y₁ = 4, y₂ = 16
Input the parameters and solve;
D = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex] = 20
Midpoint;
The expression is given as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
input the parameters and solve;
= [tex]\frac{3 + 19}{2}[/tex] , [tex]\frac{4 + 16}{2}[/tex]
= 11 , 10
The midpoint is (11, 10)
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries three, times, the difference of, nine, a number. Column 2 is labeled Replace With entries 3, times (minus), 9, h.
Write and evaluate the expression. Then, complete the statement.
three times the difference of nine and a number
Write and evaluate the expression. Then, complete the statement.
three times the difference of nine and a number
The value of the expression when h = 5 is ????
Answers
Answer:
12
Step-by-step explanation:
3(9-h) is the equation used for this problem h=5
9-5=4 3x4=12
hope this helps!
Naron is 3 times older than his sister. In 2 years, Naron will be twice as old as his sister. How old is each now?
Answers
Answer:
A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.
Step-by-step explanation:
6 is 3 times as much as 2
(6+2)/2=2+2
8/2=4
Answer:
Naron is 6 years old and his sister is 2 years old
Step-by-step explanation:
Please help me I need it right now
Answers
Answer:
X+y=180, Y=Z, X+Z=180
Step-by-step explanation:
Hope this helps. i remember doing this.
Is there a proportional relationship between x and y?
5
10
6
9
2
Cans of Paint (x)
Bird Houses Painted (y)
15
30
18
27
6
Yes, k =2
Yes, k=3
No
Answers
Answer:
Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn
3 times 5 is 15
3 times 10 is 30
3 times 6 is 18
3 times 9 is 27
And 3 times 2 is 6
Please help ASAP!! Will give brainliest if right
If DF ≈ DG, find mD.
A. 34°
B. 46°
C. 67°
D. 134°
Answers
Answer:
C : 67°
Step-by-step explanation:
The angles are equal to each other therefore they would all be the same measurement which is 67°
Hope this helps
Answer:
The answer is C.
Hope this helps
Evaluate the following.
Answers
Answer:
5
Step-by-step explanation:
|8| - |14 - 11|
8 - 3
5
if 2m-6=8m them 3m= what
Answers
Answer:
C. -3
Step-by-step explanation:
First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.
please help! i will give brainliest!
Answers
Answer:
2,2
-10
that's the answer to both of them
not sure need help
Answers
Answer:
9^8
43046721
Step-by-step explanation:
What’s another name for plane P?
Answers
Answer:
trapezium maybe
Step-by-step explanation:
plzz mark me brainliest, need it to level up
Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation
Answers
T=age of Tina
Y= age of Tom
Work:
Y=5+T
T=28 yrs
Y=23
I’ll let I find the equation:)
a car travels 180 miles in 3 hours what is the rate of it
Answers
Answer:
60mph
Step-by-step explanation:
if you divide 180 by 3 hours,
your answer should be 60 mph.
Bruce walks 2/3mile in 1 .4hour. What is his speed in miles per hour? Show your work.
Answers
Answer:
10/21 or 0.476 miles per hour
Step-by-step explanation:
If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.
2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476
f(x) = -x? – 10x
Find f(-7)
Answers
Answer:
f(-7) = 21
Step-by-step explanation:
f(-7)= - (-7)^2 - 10 (-7) = 21
Which type of line of symmetry does the figure have?
Answers
Answer:vertical
Step-by-step explanation:
PLEASE HELPPPPPPP THIS IS SO HARDDDDD
Answers
How to round 86.415 to the nearest whole number end point
Answers
You would round this number by rounding each number (until the whole number) from right to left. So it would change from 86.415>86.42>86.4>87.
Hope this helps, if not, comment below please!!!
Answer:
86
Step-by-step explanation:
I'm not completely sure what this question is asking for. But if you want to round 86.415 to the nearest whole number, it would be 86, since any number less than 5 you would round down, and the 4 in the tenths place is less than 5.
Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30
Answers
Answer:
$3.00 is the constant
Step-by-step explanation:
let x be the mile driven then
total charge=$3.00+[x($0.30)]
Is this equation correct? 63 ⋅ 73 = 423
Yes; 63 • 73 is equal to (6 • 7)3 or 423.
Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
Answers
Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.
Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3
PLZ HELP
Explain how to multiply mixed numbers.
Answers
Step-by-step explanation:
Change each number to an improper fraction.
Simplify if possible.
Multiply the numerators and then the denominators.
Put answer in lowest terms.
Check to be sure the answer makes sense.
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy(average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
Which of the following most closely describes the method of data collection used?
a. Anecdote
b. Controlled experiment
c. Observational study
Answers
Answer:
Controlled experiment
The method of data collection used by the federal government agency is controlled experiment.
What is Controlled Experiment?
A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.
The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.
The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.
Therefore the method of data collection used is controlled experiment.
Learn more about controlled experiment here:
https://brainly.com/question/4444046
A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details
Answers
Answer:
[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]
3g + 5 = 7g + 4 asap and please show work!!!!
Answers
The solution of the equation 3g + 5 = 7g + 4 will be 1/4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
3g + 5 = 7g + 4
Simplify the equation, then we have
3g + 5 = 7g + 4
- 7g + 3g = 4 - 5
- 4g = - 1
g = (-1) / (-4)
g = 1 / 4
The solution of the equation 3g + 5 = 7g + 4 will be 1/4.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
I need to write a proportion to the following problem:
3 folders cost $2.91. What written proportion would help determine the cost of 2 folders?
Answers
Answer:
The cost of two folder is $ 1.94
Solution:
Given that 3 folders cost $ 2.91
We have to determine the cost of 2 folder
From given,
Cost of 3 folder = $ 2.91
To find the cost of 1 folder, divide 2.91 by 3
Thus cost of 1 folder is $ 0.97
We are asked to find cost of two folders.
Therefore, multiply cost of 1 folder by 2
Thus cost of two folder is $ 1.94
n Over 33 = 4 Over 11
a. n = 90 and three-fourths
c. n = 1 and one-third
b. n = 16
d. n = 12
Answers
Answer:
d. n = 12
Step-by-step explanation:
n/33 = 4/11
cross-multiply:
11n = 132
divide both sides by 11:
n = 12