The vertices of a triangle are located at the points A(0, 1), B(2, 4) and C(3, 0). The triangle is translated 5 units down to obtain triangle A′B′C′. What are the coordinates of the vertices of triangle A′B′C

Answers

Answer 1

Answer:

The coordinates of the vertices of triangle A'B'C' are [tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex] and [tex]C'(x,y) = (3,-5)[/tex].

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

[tex]A'(x,y) = A(x,y) +(0,-5)[/tex] (1)

[tex]B'(x,y) = B(x,y) +(0,-5)[/tex] (2)

[tex]C'(x,y) = C(x,y) + (0,-5)[/tex] (3)

If we know that [tex]A(x,y) = (0,1)[/tex], [tex]B(x,y) = (2,4)[/tex] and [tex]C(x,y) = (3,0)[/tex], then the new  vertices of the rectangle are, respectively:

[tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex], [tex]C'(x,y) = (3,-5)[/tex]


Related Questions

help pls i forgot how to solve this

Answers

Answer:

x = 45

Step-by-step explanation:

Brainliest Please!

Is it possible to create a line segment with "infinite

steepness?

If so, do it, and explain why you think you're right

If not, explain why it's impossible.

Sign out

us

133

Answers

Answer:

No, it is not possible

Step-by-step explanation:

Required

Is it possible to have a line segment with: [tex]m = \infty[/tex]

To answer this question, we will interpret the steepness as slope.

So, we have:

[tex]m = \infty[/tex]

The interpretation of a line with: [tex]m = \infty[/tex] is:

It starts from (x,y_1) and ends at (x,y_2)

When the slope (m) is then calculated, we have:

[tex]m = \frac{y_2 - y_1}{x_1 - x_1}[/tex]

[tex]m = \frac{y_2 - y_1}{0}[/tex]

[tex]m = \infty[/tex]

What this means is that, the line has no end points.

A line segment as described here means a line that has endpoints (i.e. a finite starting point and a finite finish point)

So, we've established that: [tex]m = \infty[/tex] means no endpoints and a line segment has end points, then we can conclude that it is not possible to create a line segment with [tex]m = \infty[/tex]

Steepness of a  line is the rise or fall of it at a sharp angle.The Is it not possible to create a line segment with infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Steepness-

Steepness of a  line is the rise or fall of it at a sharp angle. The slope of the line describe the steepness of a line.

Infinite steepness-

A infinite steepness refers to a vertical line on the graph. When the line with infinite steepness plotted on the graph it is only parallel to the y axis. The change on the x axis is zero and does not move in the x axis, when a line has infinite steepness.

To understand it better suppose a line is passed through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] points. For such line the slope of the line can be given as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1} [/tex]

The line with infinite steepness does not move in the x axis. The coordinate of the x axis same for the line. Thus,

[tex]x_2=x_1[/tex]

The slope for such line is,

[tex]m=\dfrac{y_2-y_1}{x_1-x_1} [/tex]

[tex]m=\dfrac{y_2-y_1}{0} [/tex]

[tex]m=\infty[/tex]

Thus the slope of the line is infinite. But the line With no finite point is not possible to plot.

Hence the Is it not possible to create a line segment with "infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Learn more about the steepness of the line here;

https://brainly.com/question/806542

Please answer! I will mark you Brsinliest! The pictures are together.

Answers

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

Yes or no ??????????

Answers

Answer:

[tex]yes[/tex]

because it has a one side, length and base

Celeste used 20 inches of ribbon from a spool that holds 36 inches of ribbon. What is the decimal equivalent for the amount of ribbon Celeste uses.

Answers

Answer: 0.56

Step-by-step explanation:

The spool holds a total of 36 inches of ribbon and out tis amount, Celeste used 20 inches of ribbon.

Celeste therefore used 20 / 36 of the ribbon available from the stool.

In decimal this is:

= 20 ÷ 36

= 0.5556

= 0.56

(WILL GIVE BRAINLIEST) What is the y-intercept of the line shown?
4
1
-4
-1

Answers

I think -4 not fully sure‍♀️

first to answer correctly please actully try and an explanation if u can ! :) thanks

Answers

Answer: The total of all side lengths must equal 180 degrees

Step-by-step explanation:

if you take 180-100=80 then you have the two missing angles, divide 80 by 2 and you get 40 so 1 x measurment equals 40 degrees

hey can someone help me pls immediately!!! i’ll mark brainiest if u don’t guess or leave links. pls don’t guess tho actually know it if ur going to say the answer

Answers

Answer:

$9

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

between 2 and 4 is 3 sandwiches.

There is a point at 3 and 9

(3,9) $9 for 3 sandwiches

Evaluate the function f(x)=-5x2 + 4x -6
when x = 2

Answers

f(x)=-5x2+4x-6

f(2)= -5*2*2+4*2-6

f(2)= -20+2

f(2)=-18

What is 1?1?1?1=6 pls help my brain id hurt rn​

Answers

Answer:

(1+1+1)!*1=6

Step-by-step explanation:

Match the equivalent expressions.



Pls help me

Answers

Answer:

1/9 = 3^-2

1/8 = 2^-3

9 = 3²

8 = 2³

Help me with this problem ASAP

Answers

The answer is D. 4.

Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.

Answers

Answer:

70

Step-by-step explanation:

Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.

We rearrange the terms

54, 86, 105, 135, 150

First Quartile formula =

1/4 (n + 1)th term

What is the approximate volume of this sphere?


Don't forget to use the formula: V=43πr3


A 392.5 cm3

B 523.3¯ cm3

C 3,140 cm3

D 4,186.6¯ cm3

Answers

Answer: The correct answer is B. 523.3...cm^3

Step-by-step explanation:

4/3*pi*r^3 is the formula

first, divide the diameter by 2 to get the radius, now, you will begin solving.

4/3*5^3*3.14

5*5*5=125

4/3*125*3.14

125*3.14=392.5

4/3*392.5

523.3...

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS-

Answers

Sorry about that, here's the answers.

1. expanded form

2. regroup

3.  place value

4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.

5. D. Ten thousands place

Answer:

1. Expanded form

2. Regroup

3. Place value

4. A, C, D,

C is correct because a one is equal to 1.

1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.

5. A

Step-by-step explanation:

1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.

2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.

3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.

4. My answer explains it.

5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.

What’s the answer to this?!

Answers

Answer:

19.1

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

4^2+7^2=c^2

16+49=c^2

C^2=65

c=hypotenuse =root 65

Perimeter =7+4+root65=19.1ft

ASAPPPPPPPP DUE IN 3 MIN

Answers

Answer:

72

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Area of a trapezoid formula:

[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]

Given:

A = 48

a = 4

b = 12

Work:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]

can you please help? no links please. I have to pass this

Answers

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

A soccer player is going to kick a soccer ball from one corner of a field to the opposite corner. If the field is 68 meters long and 51 meters wide, how far will the soccer player have to kick the ball?

Answers

Answer:

85 m.

Step-by-step explanation:

Use Pythagoras Theorem:

x^2 = 51^2 + 68^2

=  7225

x = √7225

= 85

Do NOT guess just answer the question correctly

Jason paid $239 to join the country club on January 1, 2020. there is a monthly fee of $50. It costs an additional $5 every time he reserves a tennis court and $5 for a bucket of tennis balls. Last year he played tennis 30 times and only brought 1 bucket of balls each time. how much did he spend in 2020?​​

Answers

Jan 1, 2020- Dec. 31, 2020

Paid to join: $239
Monthly fee: $50*12months = $600 a year.
Played 30 times: 30*$5= $150.
30 bucket of balls: 30*$5= $150

$239+$600+$150+$150

Answer: He spent $1139.

Pls help
Pls help
Pls help

Answers

Answer:

Green) 24in

Yellow) 31in

Blue) 27in

Step-by-step explanation:

Just add each number of the one shape.

To find the Area:

Multiply each number

To find Perimeter:

Add each number


Pls help if you know the answer and explain, if you get it right I'll give you brainly
find the volume of the larger rectangular prism

Answers

Answer:

1/8 to the power of 3

Step-by-step explanation:

its 1/2 length x 1/2 width x 1/2 height

Simplify this expression
(√2+√3)(√5 -√7)

Answers

Answer:

Step-by-step explanation:

Answer:

pretty sure its the second one

Step-by-step explanation:

7. The answer is letter A or letter D
Find the next two terms in the sequence.

40, 10, –20, –50, . . .

A.
60, 80

B.
–80, –110

C.
–70, –100

D.
–70, –90

Answers

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

It should be B because all of them subtract 30...

the areas of three rectangle is 3:7:8 . if the average area of the three rectangle is 18cm2,find the different between the biggest rectangle and the smallest rectangle .​

Answers

Answer:

15 sq cm

Step-by-step explanation:

Let 3x = area of 1st rectangle

7x = area of 2nd rectangle

8x = area of 3rd rectangle

(3x + 7x + 8x)/3 = 18

3x + 7x + 8x = 54

18x = 54

x = 3

3x = 3(3) = 9 = area of 1st rectangle (smallest)

8x = 8(3) = 24 = area of 3rd rectangle (biggest)

24 - 9 = 15 sq cm

Mhanifa please help i will mark brainliest

Answers

Answer:

NO is answer I believe if you rotate the figure such that the similar sides IJ and MN are on top.

Step-by-step explanation:

A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?​

Answers

Answer: 5 miles

Step-by-step explanation:

this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

sqrt(25) = c

c = 5

8x + y = -16
-3x + y = -5
solve the system of equations by elimination​

Answers

ANS

9 quarters and 5 dimes

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?

Answers

Answer:

5

Step-by-step explanation:

4 7/12 + 5/12 = 4 12/12 which equals 5

Answer:

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + 5

Step-by-step explanation:

Given that f(x) = 2x – 1, find f(6).
Your answer:
6
7
11
13

Answers

Answer:

11

Step-by-step explanation:

2 times 6 is 12 minus 1 is 11

Input interpretation:

2 x - 1 where x = 6

Result:

11

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