Write an algebraic rule to describe the translation B(3,2)→ 8'(-5,0).

Answers

Answer 1

Answer:

<-8,-2>

Step-by-step explanation:

Answer 2

Answer:

(x - 8, y - 2)

Step-by-step explanation:

x-coordinates:

3 and -5

How do you get from 3 to -5?

You subtract 8

This means:

x - 8

y-coordinates:

2 and 0

How do you get from 2 to 0?

You subtract 2

This means:

y - 2

Put it together:

(x - 8, y - 2)

Therefore, the algebraic rule is subtract 8, subtract 2.


Related Questions

For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .

A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19

Answers

Answer:

the answer is B.

4x^3+x^2-5x-5

Step-by-step explanation:

the answer is B. 4x^3+x^2-5x-5

A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu​

Answers

Answer:

Step-by-step explanation:

9.72*400

= 3888 miles

Inform me if I am right

The sum of two numbers is 58. Their difference is 12. Find the numbers.

Answers

The correct answer is 23 and 35.

which graph represents the function? NEED ANSWER ASAP 20 POINTS!!

Answers

Answer:

oof i have no clue

Step-by-step explanation:

sorry never learned this type of graphs good luck tho

What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?

Answers

-5/1 is the slope so the answer is -5 because you pick 2 points and use point slope formula or
y1-y2/x1-x2

x ᵐ / y ᵐ = (y/x) -ᵐ True] False

Answers

Answer:

it is true because when we open the brackets due to negative sign x shiht upwards and y shift downwards with power m

A rectangle has sides of length 7 in and 13 in. To the nearest degree, what angle does the diagonal make with the longer side?
Round your answer the nearest tenth.

A)57.4
B)28.3
C)61.7
D)32.5

Answers

I think it’s D or maybe just maybe it’s will have to be B

Geographers use negative numbers to represent points below sea level and positive numbers to represent points above sea level. For example, the lowest point in Minnesota is at − 17.3 meters, and the highest point is at 14.1, point, 1 meters. What does 0 meters represent?

Answers

Answer:

Step-by-step explanation:

Sea Level

What is the slope of the line represented by the equation Y= 4/5x-3

Answers

Answer:

4/5

Step-by-step explanation:

y=mx+b where m is slope

Answer: 4/5

Step-by-step explanation:

Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope

WILL MARK BRAINLIEST! 20 PTS

Answers

Answer:

8: +4

9: *3 + 5

10: *(-9)+1

11: *(-8)

Answer:

8. Y=x+4, 11. y= X (x) -8

Step-by-step explanation:

Unsure about 9 and 10

NEED ANSWER ASAP. WILL MARK THE BRAINLIEST!

Answers

A(t)=4000(1+5.5/100)^4 choice 4955.30

Answer: C) 4955.30

Step-by-step explanation:

Where: A = P(1 + r/n)nt

A= 4000 (1+0.055/1)1*4

A= 4000 x (1.055)^4

A= 4955.30

which is equal to 500? ​

Answers

The right answer is 10√5..

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

2nd one

Step-by-step explanation:

If you look at all the factors the highest pair with a square root is 5•100

The square root of 100 is 10

And then the square root of 5 is left

Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°

Answers

Answer:

C) 108°

Step-by-step explanation:

72°+k°=180° (straight line)

Subtract 72° from both sides

k°=108°

Our answer is C)108°.

Value of k = 108°

The correct option is C.

What is exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In a triangle,

Interior angles are

A = 72°,

B = 83° and

C = 25°

exterior angle A = k°

Exterior angle A = Interior angle B + Interior angle C

k = 83° + 25°

k = 108°

Hence, 108° is the value of k.

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The enrollment at the 21st Century High School increased from 700
students to 1,200 students over a period of 5 years. What is the
percent increase in enrollment? Round off to the nearest percent.

Answers

Answer:

71% = P

Step-by-step explanation:

500/700 = P/100

500(100) =700p

50,000/700 = 700p/700

P=71%

The percent increase in enrollment is, 71.43%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.

Now,

Increased students = 1200 - 700

                              = 500

Hence, The increased percent is,

⇒ 500 / 700 × 100

⇒ 71.43%

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robert wants to put lights around the front of his house the house is 12 yards long and 7 yards high how many feet of lights does he need?

Answers

Answer:

19 lights

Step-by-step explanation:

I think so .

Thank you

Answer:

114 Lights

Step-by-step explanation:

Which number produces a rational number when multiplied by 1/5 ?

Answers

D
A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number

Answer:

D. -2/3

Step-by-step explanation:

A rational number can be shown with a fraction and that's the only fraction in the answer choices

1. How many solutions does the following equation have?
2x2 – 3x + 5 = 2x2.*- 3x + 5
no solution
- 2x -2% -2X
O
o -5% +5=0
2. Use the quadratic formula to solve the equation. If necessary, round to the nearest
hundredth.
x2 + 3 = -4x+3=- 4x
3- 4x
3. Solve the equation using the Zero-Product Property,
4p(5p+ 10) = 0
20p²+40p=0
-20p^2-20p^2
I just want to know if I got it right?

Answers

Answer:

1. The equation has no real solutions

2. [tex]x_1 = -1 [/tex] and [tex]x_2 = -3 [/tex]

3. p = 0 and p = -2

Step-by-step explanation:

1. Eq: x² - 3x + 5

discriminant: b² - 4(a)(c) = (-3)² - 4(1)(5) = 9 - 20 = -19 < 0

Therefore, the equation has no real solutions

2. Eq: x² + 3 = -4x

0 = x² + 4x + 3

[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(1)(3)}}{2(1)} [/tex]

[tex]x = \frac{-4 \pm 2}{2} [/tex]

[tex]x_1 = \frac{-4 + 2}{2} [/tex]

[tex]x_1 = -1 [/tex]

[tex]x_2 = \frac{-4 - 2}{2} [/tex]

[tex]x_2 = -3 [/tex]

3. Eq: 4p(5p+ 10) = 0

Zero-Product Property states that:

4p = 0 or 5p + 10 = 0

The first solution is p = 0. The second is:

5p + 10 = 0

5p = -10

p= -10/5 = -2

A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.

Answers

Answer:

Percent increase : 20%  

Step-by-step explanation: First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

4,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

21
*Note: Picture not drawn to
If w = 4 in, I = 6 in, sı = 16.49 in, and s2 = 17.09 in, what is the surface area
A. 430.6 in2
B.
334.6 in 2
C.
491.76 in 2
• D.
369.44 in 2
Poset
Subm

Answers

Answer: gradpoint “b”

Step-by-step explanation:

simplify 1/9 - 1/x over 1/81 - 1/x^2

Answers

Answer:

9x over x+9

Step-by-step explanation:

Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.

Answers

Answer:

pillow cost 3, quilt costs 5

Step-by-step explanation:

let p represent pillow and q represent quilt

rest is in pic attached

The figure shows a carpeted room. How many square feet of the room is carpeted?

Answers

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y

Answers

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

Answer:

5(x + y) + 6(x − y)   =   11x − y

(5x − 3y) − x + 3x − 5y  =  7x − 8y

x − 4x + 6y + (14x − 5y)  =  11x + y

3x + 3y + 2(2x − y)  =  7x + y

and there is no match for 4(x + y) − 3(x + y)

Step-by-step explanation:

hope this helps :)

Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?

Answers

Answer:

314 ft²

Step-by-step explanation:

3.14(10)²

(3.14)(100)

314

Bill receives a monthly stipend of $800. He also works at a bookstore making $8 an hour. He wants a monthly income of $1,200. How many hours does he need to work each month?

Answers

Answer:

150 hours

Step-by-step explanation:

Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.

If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150

But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.

Then, we would have to calculate the difference.

$1200 - $800 = $420

Time = $420/8 = 50 hours.

Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.

Find the infinite geometric sum of 4+2.4+1.44+...

Answers

Answer:

4+2.4=6.4+1.44=7.84

The infinite geometric sum of 4+2.4+1.44+... will be 10.

What is the common ratio?

At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.

It is given that, the sequence is 4+2.4+1.44+...

The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is obtained that the common ratio is,

r=2.4/4

r=0.6

The Sum of an infinite geometric sequence is,

S = a / (1-r)

S=4 / (1-0.6)

S=10

Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.

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What is the simplified form of the expression? 6/√5−√2

Answers

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ

Answers

Answer:

−2 − x

Step-by-step explanation:

Answer:

-2-x

Step-by-step explanation:

distribute the the like terms and separate the problem then solve it.

Find the area of parallelogram BDKJ.

Answers

Answer:

6 x 4 = 24

Step-by-step explanation:

JC = 4

BD = 6

WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4?

Answers

Answer:

-1/5x -4/5 = y

Step-by-step explanation:

f(x) = -5x -4

y = -5x-4

Switch x and y

x = -5y -4

Solve for y

Add 4

x+4 = -5y

Divide by -5

-1/5x - 4/5 = -5y/-5

-1/5x -4/5 = y

Answer:

f(x) = -5x - 4

let f(x)= y

y = -5x -4

x = -5y - 4

-5y = x+4

y = - (x +4)/5

The inverse of f(x) is -(x +4)/5

Hope this helps.

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