Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?

Answers

Answer 1

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)


Related Questions

The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.

Answers

Answer:

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

The calculation is as follows:

For Elevator A: -4x+16

And,  

Elevator B: -3x +16

Therefore the above statements are true.

Learn more: https://brainly.com/question/20492533?referrer=searchResults

Rewrite 7/2+ 14/25 as a single decimal.

Answers

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?

Answers

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:

[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)

[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]

[tex]T = 48.5\,^{\circ}F[/tex]

And the number of heating days is:

[tex]H = 65-48.5[/tex]

[tex]H = 16.5[/tex]

The number of heating degree days is 16.5.

Find the value of 4/5 divided by 8/15. You must simplify.

Answers

Answer:

3/2

Step-by-step explanation:

Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:

4/5x15/8

Reduce the numbers of the greatest common factor which is 5:

4x3/8

Reduce the numbers of the greatest common factor which is now 4:

3/2 is your answer

8 - 5.5 =
10.5 - 8=
13 - 10.5 =
15.5 - 13=

Answers

1. ) 2.5
2.) 2.5
3.) 2.5
4.) 2.5
Lol wow :)

1) 2.5

2) 2.5

3) 2.5

4) 2.5

find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.

Answers

Answer:

the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Step-by-step explanation:

Given the equation

$t² = 324$

Let us solve the equation

[tex]t^2=324[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]

as

[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]

so

[tex]t=18,\:t=-18[/tex]

Thus, the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Ur account got ha ked again...

well...

ill let you see for

Why did Texans prefer low tariffs over protective tariffs? help plz

Answers

Answer:

they felt it only benefited the industrialized north, increased the cost of British textiles.

Step-by-step explanation:

learned during U.S history so i think its right

Answer:

Tariffs hurt Southerners?

Step-by-step explanation:

In 1828, Congress passed a high protective tariff that infuriated the southern states because they felt it only benefited the industrialized north. For example, a high tariff on imports increased the cost of British textiles. This tariff benefited American producers of cloth — mostly in the north.

Increase £16470.45 by 3.5% by 2DP

Answers

Answer:

17,046.92 i think

Step-by-step explanation:

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Please help me find tge answer soon thxs

Answers

Answer:

acute

Step-by-step explanation:

It measures less than 90 degrees

Answer:

Acute angle

Step-by-step explanation:

(less than 90°)

12 people in line at an ice-cream shop 8 ordered cones with 2 scoops of ice cream the rest ordered cones with 1 scoop what is the ratio

Answers

Answer:

2:1

Step-by-step explanation:

(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
Selling Sunset

Answers

Answer:

The Office

Step-by-step explanation:

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

I need help. If you can, thank you.

Answers

Answer:

Y = 2x + 1

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Y =2x +1 there hope it’s helps

A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?

Answers

Answer:

115

Step-by-step explanation:

i neeed thiss pleaseeeeeee!!!!!!

Answers

2 the answer is two I think

yooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

yooooooooooooooooooooooooooooo

HELP!!!! Please help me!!!

Answers

Answer:

The answer you have checked is the correct one.

I need help asap pleaseeee

Answers

Answer: B,C

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4

Answers

Answer:

The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Step-by-step explanation:

We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)

We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0

We need to find k, by putting value of x=-5 as given in question the point(-5,4)

-5+k=0

k=5

So, the equation of line will be found by putting k=5:

x+k=0

x+5=0

x=-5

So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

What is the y-intercept of the equation?

Answers

Answer:

Step-by-step explanation:

The above equation is of the form y=mx+c

c is the y intercept so c=2

The y intercept is 2
Because the actual equation is y=mx+b
B=2

can i get some help

Answers

Answer:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

9x + (-4 + -40x) = 0

Reorder the terms:

-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

-4 + -31x = 0

Solving

-4 + -31x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -31x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -31x = 0 + 4

-31x = 0 + 4

Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

x = -0.1290322581

Simplifying

Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

34

Step-by-step explanation:

184 divided bye 4

Answer:

37 miles

Step-by-step explanation:

148/4

A company has to buy computers and printers. Each computer costs $550 and each printer costs $390. If
the company spends $8160 and buys a total of 16 machines, how many of each did it buy?
a. Let Statements:
b. Write the system:

Answers

Answer:

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer:

The company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:

Cat toy $4

Cat food $12

Litter box $16

Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.

Answers

Answer: 16x+96

Step-by-step explanation:

Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96

what is π + e its easy

Answers

Answer:

5.85987448205

Step-by-step explanation:

Answer:

The answer is e+pi

Step-by-step explanation:

Consider the situation where 12 people at a picnic want to select an activity for the afternoon. Which activity would win a plurality election

Answers

Answer is soccer because it has more numbers in the picture

Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?

Answers

Answer:

26 flower arrangements

Step-by-step explanation:

14 times $17 equals $238

$576 - $238 = $338

$338/13 = 26 flower arrangements

Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?

Answers

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Yes you can divide the 6 gallon jar in 6 levels. You can see how much water it is where witch level the water is

help please!

Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.

Answers

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ5

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