What sequence of transformations, when applied to △ABC , shows that △ABC is similar to △A′B′C′ ?
dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left
dilation with respect to the origin by a scale factor of 12 followed by a translation of 2 units right
translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 12
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12
Answers
Remember this, always translate before you dilate. Also, you would want to translate to the left, not to the right, so by process of elimination I came up with this answer,
The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.
Therefore, we need to apply a translation first to move the triangle into the correct position.
So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.
Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.
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Related Questions
The volume of a cube is 8 cubic units. What is the length of each edge? Explain how u know.
Answers
Each edge is √8.
√8 = 2.83 units
a jar contains blue, red, yellow, and green marbles. p(blue) = 1/4. what type of probability isillustrated and why
Answers
Hope I'm right!!
Give me 5 stars and brainliest if so.
5/8 0.67 1.2 3/5 Greatest to least
Answers
0.67
5/8
3.5
I think this is what it would be.
Which of these is an example of a random sample?
A.
The manager of a baseball team asks his team members about their views on the previous game they played.
B.
For a survey on air travel, 100 people are chosen randomly from five different airports.
C.
Five players from a basketball team are chosen for a game.
D.
Three members of a band are chosen for a concert.
Answers
Answer:
b
Step-by-step explanation:
the others are incorrect because they talk about group so its not random.
Each side of ΔABC is 75 units in length. Point D is the foot of the altitude drawn from side A to side BC. Point E is the midpoint of segment AD. What is the length of BE
Answers
Area = √(s(s-a)(s-b)(s-c))
Where s is half the perimeter and a, b, and c are the lengths of the triangle.
s = 0.5(3×75) = 112.5
Since our triangle is equilateral, a=b=c
Area = √(112.5(112.5-75)³)
= √5,932,617.188
= 2,435.696448 square units.
The same area can be found using the formula, 0.5(bh). Where b is the base length and h is the altitude from the base length.
In this triangle, b=75.
∴ 2,435.696448 = 0.5(75×h)
h = 4,871.392896÷75
=64.95190528 units
Since E is the midpoint of AD, then DE=h÷2=32.47595264 units
Now we have a right triangle BDE, where BE is the hypotenuse and BD=75/2.
∴ BE = √((BD)²+(DE)²)
=√(37.5²+ 32.47595264²)
= √2,460.935815
= 49.6078 units.
SOlution:
Area = √(s(s-a)(s-b)(s-c)).s = 0.5(3×75) = 112.5So,Area = √(112.5(112.5-75)³) = √5,932,617.188 = 2,435.696448 square units.
2. 2,435.696448 = 0.5(75×h)
h = 4,871.392896÷75 =64.95190528 unitsDE=h÷2
=32.47595264 units
3. BE = √((BD)²+(DE)²) =√(37.5²+ 32.47595264²) = √2,460.935815 = 49.6078 units.
How to Factor out the coefficient of the variable 3n-24
Answers
Now divide each term by 3 inside the equation.
3n / 3 = n
- 24 / 3 = - 8
So your new equation is 3(n - 8).
One of the tallest living trees today is the Mendocino Tree found at Montgomery Woods State Park, California. Its height is about 11,200 centimeters. What is this height in scientific notation?
A. 0.112*10'-4cm
B. 1.12*10'4cm
C. 11.2*10'4cm
D. 1.12*10'-4cm
plz help me i need help
i will make brainiest
Answers
1.12 × 104
(scientific notation)
= 1.12e4
(scientific e notation)
11.2 × 103
(engineering notation)
(thousand; prefix kilo- (k))
11200
(real number)
B. 1.12*10'4cm should be the correct answer.
The height of the tree which is 11,200 centimeters is written as 1.12*10'4cm in scientific notation. The conversion involves placing the decimal point after the first digit and then counting the number of places moved, which forms the power of 10.
Explanation:The question is asking you to express the height of a tree, which is 11,200 centimeters, in scientific notation. Scientific notation is a way of writing very large or very small numbers into a format that is easier to read and understand. It is formatted as a number between 1 and 10 multiplied by 10 raised to a certain power.
To convert 11,200 into scientific notation, we first place the decimal point after the first digit, which results in 1.12. Secondly, we count the number of places moved. In this case, we moved the decimal point 4 places to the left. Therefore, 11,200 cm is equal to 1.12 × 10^4 cm. So, the correct answer is B. 1.12*10'4cm.
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How much interest is earned in four years on a deposit of 10,000 if it is allowed to accumulate in an account paying 7% interest compounded annually
Answers
0.07(10000) + 10000
But for 4 years:
4(0.07(10000)) + 10000
0.28(10000)) + 10000
We can make it simpler:
1.28(10000)
Multiply:
12800
YOU WILL HAVE $12800
3/4 + 5/7 reduce to lowest term
Answers
_
5 is they answer
Solve. 5x+10+7x=-3+13+7x+12
Answers
7x comes over and become -7x
10 goes over and becomes -10.
5x+7x-7x=-3-10+13+12.
-3-10=-13, which cancels out the positive 13.
-7x+7x=0 which cancels each other out.
Now, 5x=12
Divide each side by 5.
x=2.4 <--- final answer.
5x + 10 + 7x = -3 + 13 + 7x + 12
Add like terms.
(5x + 7x) + 10 = (-3 + 13 + 12) + 7x
Simplify.
12x + 10 = 22 + 7x
Now, we have to isolate x. To do that, we must start out by subtracting 10 from both sides.
12x = 22 + 7x - 10
Then, subtract 7x from both sides.
12x - 7x = 22 - 10
Simplify.
5x = 12
Divide both sides by 5.
x = 12/5 OR as a decimal, x = 2.4
~Hope I helped!~
Plsssssssss help i willmark brainliest
Answers
C : Add all the lengths = 84
Please help (puppy eyes)
Answers
5 / 8 = 0.625
It can't be an Integer because decimals can't be intergers, so that's ruled out
It can't be repeating as it does end, so that's also ruled out
Since the decimal does end it can't be non-terminating, non-repeating
So the answer is Terminating Decimal by process of elimination
Write a word problem that can be described by the division expression 9 1/3÷2 3/4 . Use complete sentences in your answer. im very bad with word problems
Answers
The word problem involves dividing 9 1/3 loaves of bread into servings of 2 3/4 each to find out the total number of servings.
Explanation:Lisa baked 9 1/3 large loaves of bread for a community event. She wants to split each loaf into servings that are 2 3/4 each. How many total servings can Lisa make? This problem can be solved by dividing 9 1/3 by 2 3/4, with the result representing the total number of servings.
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Two lines, C and D, are represented by the equations given below: Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why?
Answers
Answer:
(6, 20), because both lines pass through this point
Step-by-step explanation:
We see that both equations are equal to y. This means we can set the two equations equal to each other:
x+14 = 3x+2
Subtract x from each side:
x+14-x = 3x+2-x
14 = 2x+2
Subtract 2 from each side:
14-2 = 2x+2-2
12 = 2x
Divide both sides by 2:
12/2 = 2x/2
6 = x
Substitute this into the first equation:
y = x+14
y = 6+14
y = 20
This makes the solution (6, 20).
The solution for the given system of equations are (6, 20).
What is a linear system of equations?A system of linear equations is a set of two or more equations involving two or more variables. All of the equations must be considered at once in order to find the solution, which is any pair of values that makes each equation true independently.
The given system of linear equations are y=x+14 -----(i) and y=3x+2 -----(ii).
From equation (i) and (ii), we get
x+14=3x+2
3x-x=14-2
2x=12
x=6
Substitute x=6 equation (i), we get
y=20
Therefore, the solution for the given system of equations are (6, 20).
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how would I set up and solve this problem?
Answers
You don't need trig.
You have a right triangle with two known sides, so just use the Pythagorean theorem to find the third side.
The sides measuring 325 m and 500 m form the right angle, so they are the legs.
The side you are looking for, x, is the hypotenuse.
leg1^2 + leg2^2 = hyp^2
325^2 + 500^2 = x^2
105,625 + 250,000 = x^2
x^2 = 355,625
x = sqrt(355,625)
x = 596.343
Answer: 596 ft
Find a irrational number between 7.7 and 7.9 explain why it’s irrational
Answers
Irrational numbers are:
Numbers that repeat
7.7777777 repeats the number 7 after the decimal
Numbers that CANNOT be written as a simple fraction.
7.7777777 cannot be written as a fraction in simplest form.
Answer = 7.777777777 repeating
~Aamira~
Hope this helped :)
Figure a’b’c’d’f is a dilation or figure abcdf by a scale factor of 1/2. The dilation is centered at (-4,-1)
Which statement is true?
Answers
Write about a real-world situation that can be represented by the equation y=4x.
Answers
[tex]y=4x[/tex]
If x tickets are bought at $4, the total cost will be y.
I'm deeply sorry for my inconvenience. Hopefully this is my last question. Will someone help?
(I forgot how to do taxes and discounts)
Answers
For taxes do the same thing but instead of subtracting add your product to the amount.
You just have to multiply by the percentage when it's a discount and subtract it from the original amount, 50% becomes .50. 99.50*.5=49.75 99.4-49.75=$47.75
2) D 103.48
You multiply by the percentage (0.04) and then add it to the original price when it's a tax
3) D 4.74
The same process as tax multiply by percentage (.2) and add to the original price
The difference between a markup and tax is the store controls the markups while taxes are usually state-controlled on a certain product (soda 5c or 10c tax is by state)
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number.
Answers
Emanuel was charged $32\$32$32dollar sign, 32 for a 1429 km14\dfrac29 \text{ km}1492 km14, start fraction, 2, divided by, 9, end fraction, space, k, m taxi ride. What was the cost per kilometer?
Answers
We are required to find the cost per kilometer of Emmanuel.
The cost per kilometre is $2.25 OR $2 and 25cents.According to the question, the total cost of the journey = $32
The total distance covered during the journey =
14 2/9 km
Therefore, the cost per kilometre can be evaluated mathematically as follows;
Cost per kilometer = cost of the journey ÷ Distance of the journey
= 32 ÷ 14 2/9
By converting 14 2/9 to an improper fraction; we have;
= 32 ÷ 128 / 9= 32 × 9/128= (32×9) / 128= 288 / 128= 2 32/128= 2.25 dollar per kilometerTherefore, the cost per kilometer is $2.25
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A board game that normally costs $30 is on sale for 25 percent off. What is the sale price for the game?
Answers
Plz mark brainliest, glad to help.
please help the temperature in degrees fahrenheit can be estimated by counting the number of times a cricket chirps in one minute write an algebraic expression for the following written expression
the number of chirps divided by 4 added to 37
Answers
We have been given that the temperature in degrees Fahrenheit can be estimated by counting the number of times a cricket chirps in one minute.
Let us start with assuming the number of chirps as x.
We are supposed to write an algebraic expression for the number of chirps divided by 4 added to 37.
Let us first write an algebraic expression for number of chirps divided by 4. The algebraic expression for this will be [tex]\frac{x}{4}[/tex].
Let us now write an algebraic expression for number of chirps divided by 4 added to 37. The algebraic expression for this will be [tex]\frac{x}{4}+37[/tex].
Therefore, the required algebraic expression is [tex]\frac{x}{4}+37[/tex].
In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then print a sheet of graph paper and graph the quadratic function to turn in to your teacher. Be sure to label the axes and vertex.
y = -x2 - 4x - 3
hellllllllllllllp
Answers
Answer:
This was my answer, hopefully it helps!
To graph the quadratic function y = -x^2 - 4x - 3, find the vertex, plot additional points, and connect them with a curve.
Explanation:To graph the quadratic function y = -x2 - 4x - 3, follow these steps:
Identify the coefficients and constant term: a = -1, b = -4, c = -3.Find the x-coordinate of the vertex using the formula x = -b/(2a):x = -(-4)/(2*(-1)) = -4/(-2) = 2Substitute the x-coordinate of the vertex into the equation to find the y-coordinate:y = -(2)2 - 4(2) - 3 = -4 - 8 - 3 = -15Plot the vertex at (2, -15) on the graph paper.Use the symmetry of the parabola to plot two additional points, equidistant from the vertex:If we move 1 unit to the right of the vertex (x = 3), we find y = -(3)2 - 4(3) - 3 = -9 - 12 - 3 = -24.If we move 1 unit to the left of the vertex (x = 1), we find y = -(1)2 - 4(1) - 3 = -1 - 4 - 3 = -8.Connect the three points with a smooth curve to complete the graph.Label x-axis, y-axis, the vertex, and any other relevant points or lines. choose the equation that is the standard form of
5y=3-2x
5y-3=-2x 2x+5y=3
2x+5y-3=0
hint the standard form of a linear equation is Ax+By=C
Answers
5y = 3-2x
5y-3 = -2x
2x + 5y = 3
2x + 5y-3 = 0
The standard form of the equations is given by:
Ax + By = C
Therefore, the equation written in its standard form is:
2x + 5y = 3
Where,
A = 2
B = 5
C = 3
Answer:
The equation that is the standard form is:
2x + 5y = 3
what is the simplest form of this expression -x(7x+2)+x^2
Answers
-x (7x + 2) + x ^ 2
Rewriting we have:
(-7x ^ 2 -2x) + x ^ 2
Adding similar terms we have:
-6x ^ 2 - 2x
Answer:
The simplified expression is given by:
-6x ^ 2 - 2x
Equation:
=-x (7x + 2) + x ^ 2
=(-7x ^ 2 -2x) + x ^ 2
Add similar terms,
-6x ^ 2 - 2x
The simplified expression is given by:
-6x ^ 2 - 2x
What is the apparent solution to the system of equations? y= -2x +3, y=1/3x - 4. Graph the system of eqiations
Answers
What does the phrase “took to It like a duck takes to water” mean in this sentence?
When the young woman started learning how to play the saxophone she “took to It like a duck takes to water”
A) she practiced often
B) she found It natural
C) she played for others
D) she improved gradually
Answers
The phrase means the young woman found it natural and quickly developed a liking for learning how to play the saxophone.
Explanation:The phrase "took to it like a duck takes to water" means that the young woman found it natural and took a liking to learning how to play the saxophone effortlessly and quickly. It implies that she had a natural talent and aptitude for playing the instrument. This expression is often used to describe someone who picks up a new skill or activity easily and enthusiastically.
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need an answer as soon as possible.
asking for a friend.
Use the sequence: 1, –2, 4, –8, . . .
a. Find the common ratio in the sequence.
b. Write a rule for the sequence.
c. Find the next three terms
Answers
Answer: The common ratio is -2
-----------------------------------
Explanation:
To get the common ratio r, we divide any term by the previous one
One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2
Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time
Side Note: each term is multiplied by -2 to get the next term
============================================================
Part B
Answer:
The rule for the sequence is
a(n) = (-2)^(n-1)
where n starts at n = 1
-----------------------------------
Explanation:
Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio
The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)
============================================================
Part C
Answer: The next three terms are 16, -32, 64
-----------------------------------
Explanation:
We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms
-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64
showing that the next three terms are 16, -32, and 64
An alternative is to use the formula found in part B
Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier
Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier
Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier
while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
There are five students of different ages. Their median age is 13 years A) what are two possibilities for the ages of the three oldest students? B) if each student is a different age, how many students must be younger than 13? C) in complete sentences, describe what a median is to another student in the class. Pretend that the student was absent the day you learned about medians.
Answers
B) 2 students must be younger than 13
C) Like I said, the median is the middle measurement. If you have a list of numbers, you have to order them and take the middle number.
:) Have a nice day and maybe consider grading this answer brainliest? <3
The answers are explained in the solution.
What is median?Median in statistics is the middle value of a list of data when arranged in order. It is a measure of central tendency that separates the data into two halves: the upper half and the lower half.
Given that there are five students of different ages. Their median age is 13 years,
A) What are two possibilities for the ages of the three oldest students?
Answer = The median is the middle measurement. Their ages could be 13, 14 and 15.
B) If each student is a different age, how many students must be younger than 13?
Answer = 2 students must be younger than 13.
C) Describe what a median is to another student in the class?
Answer = Since the median is the middle measurement.
If you have a list of numbers, you have to order them and take the middle number.
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