Question 1: On a coordinate plane, triangle ABC has vertices at A(10,5), B(10,15), and C(5,5). Triangle A'B'C' has vertices at A' (30,12), B'(30,52), and C(10,12). Which transformation maps triangle ABC onto triangle A'B'C'? A. (x,y) --> (3x, 3y + 3) B. (x,y) --> (4x - 10, 4y - 8) C. (x,y) --> (4x + 10, 4y + 8) D. (x,y) -> (3x, 3y - 3) ​

Answers

Answer 1

Answer:

B. (x,y) --> (4x - 10, 4y - 8)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

If a point X(x, y) is translated a units right and b units up, the new location is (x + a, y + b) also If a point X(x, y) is translated a units left and b units down, the new location is (x - a, y - b)

If a point X(x, y) is dilated by the factor k the new location is X'(kx, ky).

Triangle ABC has vertices at A(10,5), B(10,15), and C(5,5), If it is dilated by a factor of 4, the new location is A*(40, 20), B*(40, 60) and C*(20, 20). If then a translation of 10 units left and 8 units down, the new points are A'(30, 12), B'(30, 52), C'(10, 12).

This is a transformation of (x,y) --> (4x - 10, 4y - 8)


Related Questions

Which simplified ratio correctly compares 12 yard to 20 feet?

A. 5:9

B. 3:5

C. 9:5

D. 5:3

Answers

Answer:

The answer is B

Step-by-step explanation:

If you look at the problem you can put 12 and 20 into a ratio like this

12:20

then if you simplify it by like terms say 4

12 divided by 4 is 3

20 divided by 4 is 5

3:5

= B

I think it’s B. but it might be D. I don’t know but I think it’s probably one of those. *Btw* I’m sorry if I’m wrong please don’t be mean.

Which expression is equivalent to 46.4-8?
A 1 over 4 to the power of 2 B 1 over 4 to the power of 1 C 4 to the power of 2 d 4 to the power of 14

Answers

[tex] {4}^{6} \times {4}^{ - 8} = {4}^{6 - 8} = {4}^{ - 2} = \frac{1}{ {4}^{2} } \\ [/tex]

So the correct answer is (( a )) .

Done.....♥️♥️♥️♥️♥️

PQ = 3x + 14 and QR = 7x - 10; Find x.
Answer
3x+14=7x-10
14+10=7x-3x
24=4x
6=x

Answers

Answer:

6

Step-by-step explanation:

3x+14=7x-10

14+10=7x-3x

24=4x

6=x

please follow me...

The value of x in the expression is 6.

To obtain the value of x, we equate both PQ and QR

PQ = 3x + 14

PQ = 3x + 14 QR = 7x - 10

PQ = QR

(3x + 14) = (7x - 10)

3x + 14 = 7x - 10

Collect like terms

3x - 7x = - 10 - 14

-4x = - 24

Divide both sides by - 4

x = - 24 / -4

x = 6

Hence, the value of x = 6

Learn more : https://brainly.com/question/2610134

Tamar used the algebraic method to convert the repeating decimal number to 2.45 to a fraction. Her first two steps are shown below. Step 1: x=2.45. Step 2: 100x=245.45. What should be Tamar’s next step

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x = 2.4545... → (1)

100x = 245.4545... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 243 ( divide both sides by 99 )

x = [tex]\frac{243}{99}[/tex]

Write the following equation in vertex form by completing the square.
f(x) = -x2 – 8x +5

Answers

Answer:

the vertex form is -1(x+4)-11

Step-by-step explanation:

i attached my work

Show your work on the multiplication please

Answers

Answer:

Daniel has 6,174 pokemon cards:)

We know this because 18 x 343 is 6,174.

(Hope this helps)

Ava has a total of 116 cards ALL together because 18p+98c

So if we want to figure out how many cards Daniel has, you will do 343×18.

So that equals 6174, and if you want to divide it to be sure, 6174÷343 is 18.

So Daniel has 6174 cards, 343 times the amount of cards Ava has.

can someone answer this

Answers

Answer:

See below

Step-by-step explanation:

Given

4x^-2*y/x*y^-2

Solving

4/1 * x^-2/1 * y/1 * 1/x * 1/y^-2=4/1 * 1/x^2 * 1/x * y/1 * y^2/1 =4y^3/x^3

Correct steps and answer given above

The mistake was in line 2:

4/1 in line 1 was changed to 1/4 in line 2 by a mistake

3/8 = 15/a can someone please explain the steps for me? I have 2 hws due today and Idk how to do this​

Answers

Answer:

I think the answer is 15/40

Step-by-step explanation:

So basically this  looks like reducing. So first from the three-eights divide the fifteen by three that is 5. So then multiply 8 by 5 and a is = 40

proof divide 40 by 8

another math problem about functions. THIS IS A TIMES TEST

Answers

Answer:

Domains: 1, 2, 3, 4, 5

Ranges: 2, 4, 6, 8, 10

Step-by-step explanation:

Domain is the x and range is the y

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of R T is x. What is the value of x? 12 units 15 units 20 units 25 units

Answers

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

[tex]\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}[/tex]

[tex]\frac{x}{9}=\frac{16}{x}[/tex]

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

Answer:

12 units

Step-by-step explanation:

Expanded is (4ab ^2 c) ^3

64a ^3 b ^5 c ^3
or
64a ^3 b ^6 c ^3

Answers

Answer:

Number 2

Hope I get brainliest.... PLEASE

what is the volume of this cylinder?
r=5 cm
12cm

Answers

Answer:

V = 300π or 942.477

Step-by-step explanation:

Volume of a cylinder= π*r^2*h

Plug in.

V = π*5^2*12

V= π*25*12

V = 300π or 942.477

Olive Garden Restaurant has a waiter to cook ratio of 5 to 4. The total number of servers and cooks is 63. How many waiters does the Olive Garden have employ?

Answers

Answer:

35

Step-by-step explanation:

Waiter:cook

5:4

5+4=9

63/9=7

7*5=35

63-35=28

35:28 = 5:4

Leon's score, L, on his test was 10 points greater than Mia's score, M. Which equation shows Leon's test score?

Answers

Answer:

L= M+10

Step-by-step explanation

10 more than Mias is leon's

HELP ME I NEED HELP EASY 10 POINTS

Answers

Answer:

X = 14

give me brainliest please

Step-by-step explanation:

3x + 29 = 7x - 27

3x + 56 = 7x

56 = 4x

x = 14

Figure B is a Scaled Copy of Figure A. What is the scale factor from Figure A to Figure B? *

Answers

So B is 6x bigger than figure A and A is only half the size of B

Answer:

3

Step-by-step explanation:

If the discriminant of an equation is zero, which of the following is true of the
equation?
A. It has one real solution.
B. It has two real solutions.
C. It has two complex solutions.
D. It has one complex solution.

Answers

Answer: A is the answer

Step-by-step explanation:

I just took the test!!

It has one real solution if the discriminant of an equation is zero, option (A) is correct.

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

Here:

Discriminant D:

[tex]\rm D =\sqrt{b^2-4ac}[/tex]

D = 0

[tex]\rm x = \dfrac{-b \pm0}{2a}[/tex]

x = -b/2a (one real solution)

Thus, it has one real solution if the discriminant of an equation is zero, option (A) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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Find the slope of the line that would pass
through the ordered pairs below.
(-4,-52) and (-1, -22)

Answers

Answer:

10

Step-by-step explanation:

Here we go!

Slope Formula:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

What we know: (-4, -52) and (-1, -22)

Plug in the numbers!

[tex] \frac{ - 52 - ( - 22)}{ - 4 - ( - 1)} [/tex]

Fix it!

[tex] \frac{ - 52 + 22}{ - 4 + 1} [/tex]

Add

[tex] \frac{ - 30}{ - 3} [/tex]

Divide

(negative divided by a negative is a positive!!)

Slope is 10

Hope this helps!

How do you write 8,560 in scientific notation?

Answers

Answer:

8.56 × 103

Step-by-step explanation:

Answer:

8.56 × 10³

I hope this helps!

-) A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.

Answers

Answer:

22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation:

can someone answer this and maybe explain it?

Answers

Answer:

yea what he said..........

1) Jill paid $43 for 8 shirts. At this rate, how much will she pay for 12 shirts? *

Answers

Answer:

Jill will pay $64.50

Step-by-step explanation:

If you divide $43 by 8 you get 5.375. You then multiply that by 12 and get $64.50

The length of a rectangle is twice as great as its width. When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches. Show an equation to find the length and width of the original rectangle. Solve the equation and give the original length and width.

Answers

Answer:

Original rectangle

Length = 20 inches

Width = 10 inches

Step-by-step explanation:

Let

Original rectangle

Width = x

Length = 2x

When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches

New rectangle

Width = x + 5

Length = 2x + 5

Perimeter = 80 inches

Perimeter of a rectangle = 2(length + Width)

80 = 2{(x+5) + (2x+5)}

80 = 2( x + 5 + 2x + 5)

80 = 2(3x + 10)

80 = 6x + 20

80 - 20 = 6x

60 = 6x

x = 60 / 6

= 10

x = 10 inches

The length and width of the original rectangle

Width = x

= 10 inches

Length = 2x

= 2(10)

= 20 inches

A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball travels 85 inches. After each additional tenth of a second, the ball travels 5 inches less than it did during the preceding tenth of a second. How long will it take before the ball starts coming back down? What is the total distance that the ball has traveled once it reaches its maximum height?

Answers

Answer:

855

Step-by-step explanation:

1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:

Time | Inches traveled

0.1     | 90

0.2    | 85

0.3    | 80

0.4    | 75

0.5    | 70

0.6    | 65

0.7    | 60

0.8    | 55

0.9    | 50

1.0     | 45

1.1      | 40

1.2     | 35

1.3     | 30

1.4     | 25

1.5     | 20

1.6     | 15

1.7     | 10

1.8     | 5

1.9     | 0

90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855

four times a number increased by one is between a negative seven and thirteen. Find all numbers.

Answers

Answer:

Step-by-step explanation:

Let the number be x.

four times the number:

4x

If the exprression is increased by 1, it will become:

4x+1

If the value is between -7 and 13, the value of x will be within the range [-6, 12]

Equating the resulting expression to each end point.

At end point of -6

4x+1 = -6

4x = -6-1

4x = -7

x = -7/4

At the end point of 12:

4x+1 = 12

4x = 12-1

4x = 11

x = 11/4

Hence all the numbers will be within the range [-7/4, 11/4] or -7/4≤x≤11/4

Answer:

bbbbbvvvvvvvvv

Step-by-step explanation:

PLEASE HELP ME!! (I’m struggling in microeconomics) For each scenario see whether you agree. Then determine if the scenario is talking about a price for or price silly then graph the price control to show the results.

pls help . ily ppl are so nice

Answers

Answer:

Equals

Step-by-step explanation:

You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.

A if AB is a segment in the plane and CD is a segment on the plane of the same length, then AB is congruent to CD Do you believe the claim is true? When explaining your thinking , if you believe the claim is true, then try to prove it by using the definition of congruent . If you believe the claim is false , then try to provide a counterexample in which the " " part (hypothesis ) is true , but the "then " part ( conclusion ) is false , you have disproved the claim .

Answers

Answer:

this claim is true because 2 lines can be confruent if they have the same length.

Step-by-step explanation:

The statement is true.

What is Collinear lines?

Three or more points  are said to be collinear if they lie on a single straight line. A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis. Two points are trivially collinear since two points determine a line.

So, using the concept of collinear line and translation we have

A translation is a type of transformation that moves each point in a figure the same distance in the same direction.

So, the line is congruent.

Learn more about collinear points here:

https://brainly.com/question/1593959

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Help Me pleasee i dont understand

Answers

To find slope on the graph you use rise/run like #1 you go up 3 and across 2 so it’s 3/2 and positive because the line is going up if it were going going down it’s a negative slope…now to find it with the formula it says it right there y2-y1 over x2-x1 for example 14-10 over -7-8 and simplify if you can…on the table you will do the same as you did with the formula on #15 you will use the formula like this 2-5 over -2+3 because we all know when you subtract a negative with a negative you’re basically adding them together

What is the answer I feel like this is wrong?

Answers

It's C! Substitute f(x) for 8 to get 8=x/2+5 then subtract 5 from both sides to get 3=x/2 then multiply both sides by 2 to isolate x and you get 6=x!

Answer:

x = 6

Step-by-step explanation:

8 = (x/2) + 5

subtract 5 by both sides

3 = (x/2)

multiply by 2 on both sides

6 = x

Rick and lulu each went on a family vacation. Rick drove 375 miles in 5 hours; Lulu drove for 6 hours and 30 minutes.If they traveled at the same speed, then how many more miles did lulu drive than rick?​

Answers

Answer:

112.5 miles

Step-by-step explanation:

375/5=75

75*6.5=487.5

487.5-375=112.5

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