Which set of transformations would prove ΔQRS ~ ΔUTS?
Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.
Reflect ΔUTS over y = 2, and translate ΔU′T′S′ by the rule (x − 2, y + 0).
Translate ΔUTS by the rule (x + 0, y + 6), and reflect ΔU′T′S′ over y = 6.
Translate ΔUTS by the rule (x − 2, y + 0), and reflect ΔU′T′S′ over y = 2.
Answers
Answer:
A
Step-by-step explanation:
The set of transformations would prove ΔQRS ~ ΔUTS is A. Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
Firstly, we need the general rotation method (x,y) to (-y,x)
So; U (-4,-2) becomes U’ (2,-4)
T(-2,0) becomes T’(0,-2)
S(-2,-2) becomes S’ (2,-2)
The set of transformations would prove ΔQRS ~ ΔUTS are;
Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.
Thus, option A is correct.
Learn more about transforming functions here:
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Related Questions
WILL GIVE BRAINLIEST
5 Adrian, Ben and Charlie share some sweets in the ratio 7:4:9
Charlie got 24 more sweets than Adrian.
Work out the total amount of sweets.
Answers
Answer:
240 sweets total
Step-by-step explanation:
We know the ratio Adrian:Ben:Charlie=7:4:9. We can put one sweet as x:
7x+4x+9x=20xCharlie has 24 more sweets that Adrian– 9x-7x=2x=24So– x=12Now– 7(12)+4(12)+9(12)=20(12)=240Check your work:
84:48:108108-84=2484+48+108=240Write a linear function f with f(0)=7 and f(3)=1.
Answers
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a = ( 0 , 7 ) & b = ( 3 , 1 )
First need to find the slope using the following equation :
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
[tex]slope = \frac{1 - 7}{3 - 0} \\ [/tex]
[tex]slope = \frac{ - 6}{3} \\ [/tex]
[tex]slope = - 2[/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .
[tex]y - y(0) = m \times ( \: x - x(0) \: )[/tex]
[tex]x(0) = x - coordinate \: \: of \: \: through \: \: point \\ [/tex]
[tex]y(0) = y - coordinate \: \: of \: \: through \: \: point \\ [/tex]
[tex]m = slope[/tex]
I choose point (( a )) to put in the equation.
[tex]y - 7 = - 2 \times (x - 0)[/tex]
[tex]y - 7 = - 2x + 0[/tex]
[tex]y - 7 = - 2x[/tex]
Add sides 7
[tex]y - 7 + 7 = - 2x + 7[/tex]
[tex]y = - 2x + 7[/tex]
This the slope-intercept form .
Done...
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Decrease £40 by 70%
please help!
Answers
Answer: £12
Step-by-step explanation: To decrease £40 by 70%, you’ll have to find what 70% of £40 is, which is 28. Lastly, subtract 40 by 28. You should end up with a final result of £12.
Jerome wrote the following scenario to match the algebraic expression s 4 − 16: “16 fewer than four times the number of songs on my mp3 player” Does his scenario match the expression? Explain.
Answers
Answer:
No, because the expression s/4 - 16. In the word formed she times 4 and the letter, she should have to dived it.
Step-by-step explanation:
No, because the expression s/4 - 16. In the word formed she times 4 and the letter, she should have to dived it.
Answer:
No, Jerome’s scenario does not match the expression. The term s
4
means the number of songs is divided by four, but the scenario uses the word ‘times,’ which means multiplication. The scenario should say ‘16 fewer than one-fourth the number of songs.
Jermaine is thinking about attending college
Answers
Answer:
congrats to him
Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18
Answers
Answer:
The correct linear equation is;
f(x) = 10x + 8
Step-by-step explanation:
To choose the correct linear function, we just need to take a specific point, then substitute in each of the equations given to get the one right
The correct one will be the one in which when the x-value is substituted, we will get the y-value
Let us pick (1,18)
Let us begin testing;
A. f(x) = 10x + 8
f(1) = 10(1) + 8 = 10 + 8 = 18
Let us use another point to test this
The second point is (1.5,23)
f(1.5) = 10(1.5) + 8
= 15 + 8 = 23
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
y = -x - 2
Answers
Answer:
There are only 2 points
Step-by-step explanation:
hope this helps
In the equation a= 3/b is a positive, real number. As the
value of b is increased so it becomes closer and closer to
infinity, what happens to the value of a ?
Answers
Answer:
The value of a tends to zeroStep-by-step explanation:
Given the expression a = 3/b
as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;
If b = ∞
a = 3/∞
a = 0
Note that for any constant value a, the ratio a/∞ will always tends to zero
1/sin2A+cos4A=cotA-cosec4A
Answers
I’m not sure
Which of the following statements is NOT true
Answers
Factorize:
x^4 - 6x^2 - 27
Answers
x^4 - 6x^2 - 27
Let u = x^2
We know that x^4 = (x^2)^2.
u^2 - 6u - 27
(u - 9)(u + 3)
Now, back-substitite for u.
(x^2 - 9)(x^2 + 3)
The RIGHT SIDE FACTOR is the difference of two squares.
So, x^2 - 9 becomes (x - 3)(x + 3).
(x - 3)(x + 3)^2
Done.
What is the value of the ratio 1/2:3?
Answers
The value of the ratio 1/2: 3 is 1/6
A ratio is a comparison of two things or two quantities. It is the relative size of two quantities expressed as the quotient of one divided by the other.
We need to find the value of 1/2 : 3
This can be written as 1/2 : 3/1
On further simplification, this can be wriiten as
1/2 x 1/3
which is equal to 1/6
This can be written in the form of ratio as 1 : 6
Therefore, the value of the ratio 1/2: 3 is 1/6
To learn more about ratio refer here
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it takes Louis 1 2/3 hours to write 5/6 of a short story how long will it take louis to complete the story?
Answers
Answer:
2 hours to write the story.
1/3 of an hour remaining to complete the story.
20 minutes remaining.
(Read the explanation for further details.)
Step-by-step explanation:
1.Based on the given information, set up an equation;
(1 2/3) hours ; (5/6) story
Convert to improper fractions;
(1 2/3) ; (5/6)
(5/3) ; (5/6)
2. Solve;
(5/3) ; (5/6)
divide both sides by (5/6)
(5/3) ; (5/6)
/(5/6) /(5/6)
Dividing a fraction is the same as multiplying by its reciprocal
(5/3)/(5/6) ; (5/3)/(5/3)
(5/3)*(6/5) ; (5/3)*(3/5)
2 ; 1
2 hours; 1 story
3. Solve for the time remaining;
Subtract the amount of time elapsed from that total amount of time
total time - time used
2 hours - 1 2/3 hours
Convert to improper fractions
2 - 5/3
1/3 hour
Convert to minutes
20 minutes
What is the greatest common factor of 9 and 12? 3 9 36 108
Answers
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
Which number line correctly shows 0.8 + 0.3?
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
g(n) = n² + 2; Find g(3)
Answers
Answer:
11 is the answerStep-by-step explanation:
1. Write the question.
g(n) = n² + 2; Find g(3)
2. Find and input the numbers into the equation
g(3) = 3² + 2
3² = 9
3. Solve the equation
g(3) = 3² + 2
= 9 + 2
= 11
The answer is 11.
Hope this helped,
Kavitha Banarjee
Avery is in the business of manufacturing phones. She must pay a daily fixed cost to
rent the building and equipment, and also pays a cost per phone produced for
materials and labor. The labor and materials cost $100 for each phone manufactured,
and the total cost of producing 3 phones in a day would be $600. Write an equation
for C, in terms of p, representing total cost, in dollars, of producing p phones in a
given day.
Answer: C=?
Answers
Answer:
The equation that represents the total cost in dollars is C = 100p + 300
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope ⇒ rate of changeb is the y-intercept ⇒ fixed amount∵ Avery must pay a daily fixed cost to rent the building and equipment
∴ There is a fixed amount b
∵ She pays a cost per phone produced for materials and labor
∴ There is a rate m
∵ C represents the total cost of producing p phones in dollars
→ Form the linear equation for the situation
∴ The equation is C = m p + b
∵ The labor and materials cost $100 for each phone
∴ m = 100
→ Substitute it in the equation above
∴ C = 100p + b
∵ The cost of producing 3 phones in a day would be $600
∴ p = 3 and C = 600
→ Substitute them in the equation above to find b
∵ 600 = 100(3) + b
∴ 600 = 300 + b
→ Subtract 300 from both sides to find b
∵ 600 - 300 = 300 - 300 + b
∴ 300 = b
→ Substitute it in the equation
∴ C = 100p + 300
∴ The equation that represents the total cost in dollars is C = 100p + 300
Hi, I don't need this really fast, but I really don't understand how to do surface area and lateral surface area with rectangular prisms, triangular prisms and cylinders. Any tips will be greatly appreciated. I will give you brainlist. ( idk how to spell lol ) :)
Answers
Answer:
The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid.
Answer:
The volume of a pyramid
V=1/3⋅B⋅h
The area of the rectangle:
A=C⋅h
A=12.6⋅6
A≈75.6
To find the volume of a cylinder we multiply the base area (which is a circle) and the height h.
V=πr2⋅h
Find the measurement?
Answers
Answer:
HG = 28
Step-by-step explanation:
The midsegment MN is half the sum of the 2 parallel bases, that is
[tex]\frac{HG+JF}{2}[/tex] = MN , that is
[tex]\frac{HG+16}{2}[/tex] = 22 ( multiply both sides by 2 )
HG + 16 = 44 ( subtract 16 from both sides )
HG = 28
What is 2 4/9 as a decimal
Answers
Answer:
2.4 repeated
Step-by-step explanation:
What is the slope of the line through (-1, 4) and (1,-2)?
Answers
Answer:
-3
Step-by-step explanation:
The rise is 6 and the run is 2
2.find the domain,range and function.
x,y
-4,8
-3,1
0,-5
-3,2
Domain:
Range:
Function
Answers
Step-by-step explanation:
domain ={-4,-3,0,}
range ={8}
Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds of plums and m pounds of mangoes
Answers
Answer:
The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.
Which kind of fruit costs more per pound? Explain.
Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.
IM Commentary
This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.
Solutions
Solution: Slope as Unit Rate
The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.
Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.
For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.
Solution: Adding a scale to the graph
Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.
For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".
Solve the compound inequality
6x - 1 < -7 or 2x + 1 > 5
Answers
Answer:
x<−1orx>2
Step-by-step explanation:
triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?
Answers
Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
what is the mean of 72,74,70,64,80
Answers
Answer:
64,70,72,74,80
Step-by-step explanation:
hahahahaahhaahhaah
Explanation=72+74+70+64+80=360, 360/5 = 72
Multiply. Answer with a mixed number in simplest form
2 1/5 x 3 4/7
Answers
Answer:
7.85714285714
Explanation:
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Can you explain to me how to solve this problem?
Answers
Answer:
110
Step-by-step explanation:
Ok so you will do 22 times 5 first
Which will be 110!
You can double check
110 divided by 5 is.. 22!
You want to move the variable to one side and the actual numbers to the other side of the equal sign.
When you move the number 5 to the right, you take the division sign with it, and when you move something, the sign in front of it becomes its opposite. The division sign will now become a multiplication sign.
Now the equation looks like this: r = 22 times 5
R would equal 110
[tex]\sqrt{p^2}[/tex]
(the answer is not p)
Answers
Answer:
Step-by-step explanation:
√p^2=
I got either p or absolute p
Answer:
it's p .... but it depends on what you're being asked to do with it
Step-by-step explanation:
Pull terms out from under the radical, assuming positive real numbers
I WILL MARK BRAINIEST
please answer question 5
Answers
Answer:
c
Step-by-step explanation:
because it just moves to the right by 7 units. it does not change in shape or size, only location.
Answer:
B. the angle measure won't change with translation
Step-by-step explanation: