The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units
The vertices of triangle ABC are given as:
[tex]A = (1,9)[/tex]
[tex]B = (3,12)[/tex]
[tex]C =(4,4)[/tex]
The vertices of triangle A"B"C" are given as:
[tex]A" = (3,-3)[/tex]
[tex]B" = (5,-6)[/tex]
[tex]C" =(6,2)[/tex]
Start by reflecting the coordinates of triangle ABC across the x-axis.
The rule of this transformation is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' =(1,-9)[/tex]
[tex]B' =(3,-12)[/tex]
[tex]C' =(4,-4)[/tex]
Next, shift triangle A'B'C' 2 units right and 6 units up
The rule of this transformation is:
[tex](x,y) \to (x+2,y+6)[/tex]
So, we have:
[tex]A" = (3,-3)[/tex]
[tex]B" = (5,-6)[/tex]
[tex]C" =(6,2)[/tex]
Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units
Read more about transformation at:
https://brainly.com/question/1448141
the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach
Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
I need help please:(
Answer: times
Step-by-step explanation:
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
W= 2
Step-by-step explanation:
Multiplying radicals. Simplify
Answer:
9√10
Step-by-step explanation:
3√15 x 6 = √90
3√90 = 3 x √9 x √10
3 √90 = 3 x 3 √10 = 9√10
What’s the slope of a line that goes through (0,2)(7,5)
Answer:
slope = 3/7 or 0.43
Step-by-step explanation:
use the slope(gradient) formula
can someone help me
Answer:
The answer is 6 cause khan acadamy
Step-by-step explanation:
change 4700g into kg
Answer:
4.7 kilograms
Step-by-step explanation:
[ 1000 g = 1 kg ]
Change 4700g into kg,
→ 4700 ÷ 1000
→ 4.7 kg
Please help I don’t understand please!!!
Answer:
y>5.5
Step-by-step explanation:
4y+3>2y+14
Subtract 2y from both sides.
2y+3>14
Subtract 3 from both sides.
2y>11
Divide 2 by both sides.
y>5.5
-hope it helps
the (y) and mean 1 and you need to multiply al number
Identify the terms and like terms in the expression.3n+7−n−3
Answer:
n
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers.
.RP.1.3 | JoAnn bought 2 shirts for $13.50 each and a purse for $8.
The sales tax was 6%. What is the total she paid for her
purchase, including tax?
Answer:
The answer is $22.79. Hope this helped! If the answer is wrong i'm super sorry!
Step-by-step explanation:
$13.50 + $8 = $21.50
0.06 x 21.50 = $1.29
$1.29 + $21.50 = $22.79
I have a system of equations I don’t remember how to do :|
I forgot how to solve this, and I forgot how to find the slope…
Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
_____
Additional comments
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Answer:
There are infinite numbers of solution.
Step-by-step explanation:
Question :[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]
Solution :Solving the question and finding the final answer.
Here,
x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━Now, from equation (i),
[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]
[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]
━━━━━━━━━Now, putting the value of x in equation (ii)
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]
This statement is true for all values of x and y.
So, there are infinite numbers of solution.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Please help I’ll mark brainliest
Answer:
y= 2, x= -1 (-1, 2)
Step-by-step explanation:
y= x + 3
y= -x+1
substitute y= -x+1
-x + 1 = x + 3
isolate x
-x + 1 = x + 3
x + 1 - x = x + 3 - x
After isolating x you'll get x = -1
for y= - x + 1
y= - (-1) + 1
simplify y = 2
solution:
y= 2, x= -1 (-1, 2)
Which of the following is a nonlinear function
Answer:
Linear functions are equations where the greatest power of the variable (typically x) is 1;
They are graphed as straight lines;
So, any function that has the following format:
f(x) = ax + b;
Nonlinear functions would be any equation that has a variable to a power greater than 1;
This could be a quadratic equation or an exponential equation
explain please i dont get it
Answer:
.........................
......
Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?
How many trucks will Megan need to pack all 539 boxes? (show work )
Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.
Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.
539/22=24.5. Since there is a remainder, you will need 25 trucks total
Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?
Answer: To to find the percentage, you simply need to divide 45 by 60:
Step-by-step explanation:
45/60= .75
Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%
Answer:
75%
Step-by-step explanation:
To find the percentage of questions Darren got correct, first create a fraction.
question's correct/total question's so 45/60
Then, convert the fraction to a percent.
45/60 = 0.75 =75%
So, Darren got 75% of the questions correct.
hope i helped
PLEASE ANSWER ASAP
Which graph
Answer:
graph 4
Step-by-step explanation:
a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed
Answer:
10π
Step-by-step explanation:
First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.
So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ
if the nth term is 6-2n^2 what is the 4th term?
Answer:
a₄ = - 26
Step-by-step explanation:
Substitute n = 4 into the nth term formula
a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26
Dani spent $6,300 on a used car. She paid $630
as a down payment. What fraction of the orig-
inal cost was the down payment?
A. 1/10
B. 1/18
C. 1/20
D. 1/40
Answer:
1/10
Step-by-step explanation:
630/6300 = 0.1
0.1*100 = 10
10% a.k.a 1/10
Hope this helped!
Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!
Answer:1. (1,2) 2.(-1,0)
Step-by-step explanation:
1. 5x-4(-3x+5)=3 x=1 2. 3(2y-1)-2y=-3 y=0
y=-3x1+5 y=2 Plug them in X=2x0-1 x=-1 plug them in
Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:30 tacos and 70 burritos
Step-by-step explanation:
inequality 1: y≤110−x shade down
inequality 2:y≥80− 1/2x Shade up
Answer (30,70)
Paul has 0.50$ in his pocket. What fraction of a dollar does he have
Answer:
1/2
Step-by-step explanation:
Answer:
Paul has 1/2 of a dollar.
Step-by-step explanation:
A haft of a dollar is 50 cents since 1 dollar is 100 cents so the fraction simplified would be 1/2 or 50/100.
Complete the sentences below based on the graph of the function.
Please help!
Answer:
20 km20 km/h5 km/hStep-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
__
Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
__
Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
_____
Additional comment
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.
deposited $7,500 into a savings account 5 years ago. The simple interest rate is 2%. How much money did earn in interest?
Answer:
$750
Step-by-step explanation:
simple interest equation is:
I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)
I = 7500 x .02 x 5
I = 750
Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!
Answer:
your answer is the last option
Step-by-step explanation:
There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer
GUYS PLEASE HELP!!!
Answer:
C (5,4)
Step-by-step explanation:
(x,y)
fist number in the ordered pair is the X value
Second number in the ordered pair is the Y value
A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis
B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis
C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)
After doing all of these we see that C does not end up on the line
Solve for B: 19 (less than or equal too sign) B + 17
Can U solve it
plz explain fully !
Answer:
(9 ^ 3) x 0.04 (4/99)
Step-by-step explanation:
This seems overwhelming, but after simplifying, it will look much easier
Numerator (First Row)
First, we will combine like terms and simplify the top row
(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81
(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)
(9 ^ 2x) x 648
Denominator (Second Row)
Next, we can combine like terms and simplify the second row
(9 ^ x) x 66 - (9 ^ x - 2) x 243
(9 ^ x) - (9 ^ x - 2) x (66 x 243)
(9 ^ 2x + 2) x 16,038
Simplify
Our expression is now
(9 ^ 2x) x 648
(9 ^ 2x + 2) x 16,038
We can simplify it as
(9 ^ 3) x 0.04 (4/99)