Two similar triangles are shown on the coordinate grid:
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′?
dilation by a scale factor of 4 followed by reflection about the x-axis
dilation by a scale factor of 2 followed by reflection about the x-axis
dilation by a scale factor of 4 followed by reflection about the y-axis
dilation by a scale factor of 2 followed by reflection about the y-axis
Answers
Answer:
The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis
Step-by-step explanation:
Let us write the vertices of Δ ABC
∵ Vertex A = (-2, -1)
∵ Vertex B = (0, 0)
∵ Vertex C = (1, -3)
Let us Write the vertices of Δ A'B'C'
∵ Vertex A' = (-4, 2)
∵ Vertex B' = (0, 0)
∵ Vertex C' = (2, 6)
Let us find the scale factor k between the x-coordinates of the points and their images.
∵ -4 = k (-2) ⇒ Divide both side by -2
∵ [tex]\frac{-4}{-2}[/tex] = [tex]\frac{-2k}{-2}[/tex]
∴ 2 = k
∴ The scale factor of a dilation is 2
∵ The signs of the y-coordinates of the images are the opposite of
the signs of the y-coordinates of the points
∴ The triangle is reflected about the x-axis
∴ The set of transformations has been performed on triangle ABC
is dilation by a scale factor of 2 followed by reflection about the x-axis
Related Questions
Rhombus EFGH is rotated 90 degrees counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have?
Please explain your answer.... Thank you!
A) 0
B) 1
C)2
D) 4
Answers
Answer:
try your self more and more times you can easily solve
You run 7 1/2 miles as a part of an exercise routine. You run 1/2 of that distance on a hill. You run down a slope for the last 1/3 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.
Answers
Answer:
1 1/4 milesStep-by-step explanation:
Amount of miles ran as part of an exercise routine = 7 1/2 miles = 15/2 miles
If you run 1/2 of that distance on a hill, the distance ran on the hill will be;
= 1/2 of 15/2
= 1/2 * 15/2
= 15/4 miles
If You run down a slope for the last 1/3 of the hill, the number of miles that you run down the hill will be;
1/3 of 15/4
= 1/3 * 15/4
= 15/12
= (3*5)/(3*4)
= 5/4
Write 5/4 as a mixed fraction
5/4 = 1 1/4 miles
Therefore you ran 1 1/4 miles down the slope
a b c d ?? help me pleas and ty
Answers
Answer:
a
Step-by-step explanation:
Answer:
a is the answer hopw this helps
what's the linear function that passes through (1,-6) and (-8,9)
Answers
Answer:
x axis?
Step-by-step explanation:
If Kayla buys 50 apples for $20 what is the unit rate?
Answers
Answer:
2.50 dollars an apple.
Step-by-step explanation:
Divide 50/20
Answer:
2.5 per apple
Step-by-step explanation:
50 ÷ 20=2.5
PLEASE HELP MEEEE!!!!!
Answers
Answer:
47.8
Step-by-step explanation:
Answer:
Okay so what you need to do is add up all of the scores. 8.3+7.4+9.1+7.4+7.4+8.2 and that would give you the answer of 47.8 and it is a rational number because it can be written as the ratio of two integers. plz mark me brainliest
Step-by-step explanation:
PLEASEEEEEEEEEEEEEEEEEREEEEEEE HELLPPPP
Answers
3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]
Answers
=======================================================
Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
----------------------
Side notes:
If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.Please can anyone simplyfy that and can you tell the steps?
Answers
Step-by-step explanation:
Hope I did the way it was required! And helped you somehow!
What is the image of (-3,9) after a reflection over the y = x?
Answers
Answer:
(9,-3)
Step-by-step explanation:
Help Quick!!! WILL GIVE BRAINLIEST TO 1ST CORRECT ANSWER!
Which points are on the graph of f(x)=(13)x ?
Select each correct answer.
A. (−2, 9)
B. (3, 27)
C. (−1, −13)
D. (0, 1)
Answers
Answer:
C
Step-by-step explanation:
Answer: f(x) = 13x
A. (−2, 9) (no)
B. (3, 27) (no)
C. (−1, −13) (yes)
D. (0, 1)(no)
Step-by-step explanation: So the answer is C.
Brainliest if im correct
A store is marking down the price of a television 25 percent from the original price of $250. Which expression can be used to find the marked down price?
250 dollars minus (0.25) (250)
250 dollars + (0.25) (250)
250 dollars minus (25) (250)
250 dollars + (25) (250)
Answers
Answer:
A
Step-by-step explanation:
You're looking for the marked down price, which is less than the original 250, thus B and D is instantly knocked out. 25% as a decimal is expressed as .25, meaning that the only plausible answer in this scenario is A
Answer:
A. 250 dollars minus (0.25) (250)
Step-by-step explanation:
I took the unit test review and got it right
what is the rule for gallons
Answers
Answer:
Many aquarists swear by the standard rule of “one inch of fish per gallon” rule.
Step-by-step explanation:
BRAINLIEST ANSWER WILL GET BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Excuse,there is still no Image on it.
Answer:
How do you get Brainlest answer if there is no question. HuH?
38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)
Answers
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
Also I don’t see an answer for c.
The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers. Write your answer as two numbers separated by a coma.
Answers
Answer:
20, 24
Step-by-step explanation:
smaller: x
larger: 2x - 16
x + 2x - 16 = 44
3x -16 = 44
3x = 60
x = 20
smaller: x = 20
larger: 2x - 16 = 2(20) - 16 = 24
if a square has an area of 324 ft what is the length of each side
Answers
Answer:
162
Step-by-step explanation:
324/2 because a square has sides that are all equal, so the area is 2 times the length of a side
Answer:
18 ft.Step-by-step explanation:
area = L² where area = 324 ft²
324 = L²
L = √324
L = 18 ft.
In the equation, 3b+4=7, what is the 4
Answers
Answer:
constant
Step-by-step explanation:
3 is the coefficient, b is the variable, 4 and 7 are the constants.
-3 (4b - 10) = 114
What does b equal?
Answers
Answer:
b = -9.5
Step-by-step explanation:
-3 (4b - 10) = 144
-12b + 30 = 144
-30 -30
-12b = 114
/-12 /-12
b = -9.5
Hope this helps!
b = -7
Audrey's bank account is currently at $75 a fee of 12.50 is deducted each month from Audreys she must maintain a balance greater than zero dollars how many months will Audrey's account stay above zero dollars
Answers
Answer:
5 months
Step-by-step explanation:
Current balance = $75
Monthly deductions = $12.50
75 - 12.5h
Where ,
h = number of months for deduction
she must maintain a balance greater than zero dollars
how many months will Audrey's account stay above zero dollars
0 > 75 - 12.5h
0 - 75 > -12.5h
-75 > - 12.5h
h < -75 / 12.5h
h < 6 months
h < 6 months means h must be less than 6 months which is 5 months
Audrey's account will stay above zero dollars for 5 months and will equal zero dollars in the 6th month
Will give brainliest if right.
Answers
Answer:
x intercept is 1 and y intercept is 2
Step-by-step explanation:
Answer:
x-intercept = (0, 2) or 2
y-intercept = (1, 0) or 1
Step-by-step explanation:
The x-intercept is where the line passes the x-axis, and the y-intercept is where the line passes the y-axis.
The line passes through the y-axis at (0, 2)
The line passes through the x-axis at (1, 0)
I Hope That This Helps! :)
Plzz helpp
Find the inverse function
Answers
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[tex]f(x) = {x}^{2} + 5[/tex]
[tex]y = {x}^{2} + 5[/tex]
[tex] {x}^{2} + 5 = y[/tex]
Subtract sides 5
[tex] {x}^{2} + 5 - 5 = y - 5[/tex]
[tex] {x}^{2} = y - 5[/tex]
[tex]x = ± \sqrt{y - 5} [/tex]
[tex]x≠ - \sqrt{y - 5} [/tex]
Because x is a positive number but -√y-5 is a negative number thus it's unacceptable.
So ;
[tex]x = \sqrt{y - 5} [/tex]
_________________________________
[tex] {f}^{ - 1}(x) = \sqrt{x - 5} [/tex]
Done...
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A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.
Answers
Answer:
2/5
Step-by-step explanation:
please help me asap I need this today
Answers
How?
2 random points and plug them in the slope formula.
In this case :
(-3,0)(0,4) —> 4-0/0-(-3) = 4/3 <— slope
The y intercept is the point where x equals 0
In this case :
(0,4) —> 4 is the y-Intercept
Now, plug in for the equation y= mx + b ( m = slope and b = y intercept)
y = 4/3x + 4
Hope I helped:)
Answer:
y = 4/3x + 4
Step-by-step explanation:
25+ Points & Brainliest if your right!
If you toss three coins, what are the odds in favor of getting exactly two tails and one head?
A. )3:8
B. )3:5
C. )5:3
D. )8:3
Answers
Its A
ur welcome :v
bye have a great time :D
Answer:
A
Step-by-step explanation:
It's correct, trust me
A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answers
Answer:
20 km/h
Step-by-step explanation:
the total time is 0.5 hours as the cyclist travels for 30 minutes
the formula for speed is distance travelled divided by time taken which gives us 20 km/hr
i don’t know how to do this && i’m hella stuck
Answers
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I think
Where would you put the decimal in this product?
3.21 x 4.8 = 1 5 4 0 8
Answers
Answer:
15.408
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Please work this out or I get a detention
Answers
Answer:
a = 11 , b = 2
Step-by-step explanation:
[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]
-2w - 5w simplify the expression and combine like terms
Answers
Answer:
Step-by-step explanation:
-w(2+5)
W is like term
