The point A(-8,6) is translated using T: (x,y) = (x + 5. y - 4).
What is the distance from A to A'?

Answers

Answer 1

Step-by-step explanation:

For this problem, we can simply plug in the coordinate point into the given formula.

(-8, 6) = (-8 + 5, 6 - 4)

(-8, 6) = (-3, 2)

So, A' is at point (-3, 2)

Now, we have to find the distance from A to A'. We can use the distance formula.

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]d=\sqrt{(-3-(-8))^2+(2-6)^2}[/tex]

[tex]d=\sqrt{(5)^2+(-4)^2}[/tex]

[tex]d=\sqrt{25+16}[/tex]

[tex]d=\sqrt{41}[/tex]

So, the distance between A and A' is about 6.4 units.


Related Questions

What do the interior angles in a
triangle have a sum of?
A.360
B.45
C.180
D.90
HELP PLZZ

Answers

Answer:

180 degrees.

Step-by-step explanation:

The interior angles in a triangle have a sum of 180 degrees. You can also prove it by the Sum of Interior Angles formula:

S= (n-2)·180.

n- the number of sides in the polygon

S= the total sum of interior angles.

Answer:

The sum of three interior angles always have to have the sum of 180 degrees. So with that being said, each of the angles have to be less than 180 degrees.

Brainliest is appreciated.

Step-by-step explanation:

Molly made a scaled copy of the following square. She used a scale factor greater than 111.What could be the side length of the scaled copy of the square?

Answers

Answer:

2 answers 27 and 50 units

Step-by-step explanation:

Express 8^1/2 in simplest radical form.

Answers

Final answer:

To express [tex]8^{1/2[/tex]in simplest radical form, recognize that it's equivalent to the square root of 8, then simplify to 2√2 by breaking down 8 into prime factors and finding pairs of factors.

Explanation:

To express [tex]8^{1/2[/tex] in simplest radical form, we follow these steps:

Recognize that an exponent of 1/2 is equivalent to the square root.

Find the square root of 8, which can also be written as √8.

Since 8 is not a perfect square, we can simplify it by breaking it down into its prime factors: 8 = 2 x 2 x 2.

Group the factors into pairs to determine the square root: 8 has one pair of 2s.

This pair comes out of the radical as a single 2, leaving one 2 inside the radical: 2√2.

Therefore, 8^1/2 simplifies to 2√2, which is the simplest radical form.

The figure below is a net for a rectangular prism.
lb
Side a = 7 centimeters
Side b = 2 centimeters
Side c = 5 centimeters
What is the surface area of this figure?​

Answers

Answer: which side is the length and which side is the height?

A triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters. What is the surface area of the triangular prism shown? 32 square centimeters 120 square centimeters 184 square centimeters 1,560 square centimeters

Answers

Answer:

184

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use the divisibility tests to determine whether 900 is divisible by 2, 3, 5, 6, and 10

Answers

Answer:3

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Considerations:

[tex]$y=-(x) \left \{ {{\text{if } x<0\text{ then }y>0} \atop {{\text{if } x> 0\text{ then }y<0}} \right. $[/tex]

[tex]$y=x\left \{ {{\text{if } x<0\text{ then }y<0} \atop {{\text{if } x> 0\text{ then }y>0}} \right. $[/tex]

Also,

[tex]$-\frac{a}{b}=\frac{-a}{b}=\frac{a}{-b}, b\neq0 $[/tex]

A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.

The fraction [tex]$\frac{5}{-12} $[/tex]  can be described as a positive number divided by a negative number, which always result in a negative quotient.

The fractions have same value, so Liam is correct.

help me answer this question

Answers

Answer:

a

Step-by-step explanation:

Answer: -8/5

Step-by-step explanation:

Joseph is ordering a taxi from an online taxi service. The taxi charges $4 just for the
pickup and then an additional $1 per mile driven. How much would a taxi ride code if
Joseph is riding for 9 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer: $13 for the 9 mile ride.

The taxi ride that is m miles long would cost as follows: 4 + m

Step-by-step explanation:

Final answer:

The cost of Joseph's taxi ride is calculated by adding a flat fee of $4 to $1 for each mile driven. Thus, a 9-mile ride would cost $13. For a ride of m miles, the cost would be $4 plus $1 per mile.

Explanation:

The cost of a taxi ride can be determined using a function that considers two components: a flat fee, and a rate per mile. In Joseph's case, the online tax service charges a $4 flat fee for pickup, and $1 per each mile driven. Hence, the equation for the cost of a taxi ride (C) for Joseph is as follows: C= 4+1*m.

For a ride of 9 miles, we would substitute m with 9: C = 4+ 1*9, which simplifies to C = $13. Therefore, a 9-mile ride would cost $13.

For a taxi ride that is m miles long, the cost would be C = 4 + 1*m. The 4 represents the flat fee, and the 1*m represents the cost per mile that is driven multiplied by the number of miles in the ride. Therefore, a taxi ride that is m miles long would cost $4 plus $1 per mile.

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13. In a week the prices of a bag of rice were 350,280,340,290,320, 310,300. The range is
A. 60
B. 70
C. 80
D. 100

Answers

so the right answer is 70.

Look at the attached picture

Hope it will help u

Answer:

B

Step-by-step explanation:

The range can be found by subtracting the lowest number from the highest number

First, arrange the numbers in order from least to greatest

350,280,340,290,320, 310,300

280, 290, 300, 310, 320, 340, 350

So, our lowest number is 280, and our highest is 350.

highest number - lowest number

Subtract 280 from 350

350-280

70

So, our range is 70, making B the correct answer

What is the area of a circle with a radius of 6 inches? 9 pi inches squared 12 pi inches squared 36 pi inches squared 81 pi inches squared

Answers

Answer:

36π

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

BECAUSE U MULTIPLY THEN DIVIDE

79.99 - 12% + 8%
please dhow your work
thank you
And be safe

Answers

Answer:

79.95

Step-by-step explanation:

The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).

12% becomes -0.12

8% becomes 0.08

Now, let's solve.

79.99 - 0.12 + 0.08

Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.

Evaluating 79.87 + 0.08, we get the final answer, 79.95.

79.99

12
100
+
8
100
=
79.99

3
25
+
8
100
=
79.87
+
8
100
=
79.87
+
2
25
=
79.95

A square mirror has an area of 25 square feet. How long is each edge of the mirror?

Answers

Answer:

5 feet

Step-by-step explanation:

5x5

thanks jimtompson5910 for helping me fix my mistake

Answer:  5 feet

Some number times itself is 25. The question is: which number?

That would be 5 since 5 times 5 = 25

You can also apply the square root to 25 to get 5, to avoid guessing and checking.

Simplify
12x^9
————
2x^3
o 6х3
o 6х6
o10х3
o10х6

Answers

Answer:

6 * x^6

Step-by-step explanation:

We have  (12x^9) / (2x^3)

(12x^9) / (2x^3)  =  6 * (x^9/x^3)    Divide the constants first

(12x^9) / (2x^3)  = 6 * x^ (9-3)

(12x^9) / (2x^3)  = 6 * x^6

A side length of a regular hexagon is 14 inches. What is the perimeter of the hexagon?

Answers

Answer:

84 inches

Step-by-step explanation:

A regular hexagon has 6 sides where all 6 sides are congruent meaning that each side is 14 inches.

Hence:

14*6=84

In Conclusion:

The perimeter of the hexagon is 84 inches.

Hope this helps!

Answer:

84

Step-by-step explanation:

14+14+14+14+14+14=84

A hexagon has 6 equal sides and you add all of the sides to find perimeter.

there’s also D

D: 4m on top and 4m on the side

Answers

Answer:

A and B.

Step-by-step explanation:

To find the area, you need to multiply the length and width.

A = L x W

5 x 4 = 20

10 x 2 = 20

helpppppp! thank youuu

Answers

Answer:

three B

Step-by-step explanation:

simple addition

3 ratios that are equivalent to 3/8

Answers

Answer:

30/80       9/24           6/16

Step-by-step explanation:

Answer:

just multiply a fraction equal to 1 for example 2/2

3/8 x 2/2 = 6/16

3/8 x 3/3 = 9/24

3/8 x 4/4 = 12/32

it is equivalent because 2/2 is equal to 1 so it is being multiplied by 1

Step-by-step explanation:

Define the Negative Exponent Property

Answers

Answer:

Dividing is the inverse (opposite) of Multiplying.

A negative exponent means how many times to divide by the number.

Answer:

There is a power property for negative exponent powers which says that a power with a negative exponent is equal to 1 between the same power, but with a positive exponent. In other words, to convert the exponent from negative to positive, the power is converted to the denominator

Step-by-step explanation:

In the right triangle shown, what is the value of x (to the nearest tenth)? (Picture shown above)



a. 9.1
b. 11.0
c. 21.4
d. 23.7

Answers

Answer:

i think it is c. good luck!!

Step-by-step explanation:

The value of x is 11.037

The correct option is (B)

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Using Trigonometry,

cos 25 = B/ H

cos 25 = 10 / x

0.906 = 10/ x

x= 10/ 0.906

x= 11.037

Hence, the value of x is 11.037.

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two line are ___ if and only if they lie in the same plane and do not intersect, and two lines are __ if and only if they lie in the same plane and intersect at the right angles


A) partaken, perpendicular
B) perpendicular, bisectors
C) parallel, bisectors
D) perpendicular, parallel

Answers

the answer is C, I think because parallel lines never touch

The required answer is two lines are parallel if and only if they lie in the same plane and do not intersect, and two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles. Option   A is correct.

Given that,
An incomplete statement is given,
We have to complete the statement using the appropriate options that thinks fit to black space.

What is a line?

The line is a curve showing the shortest distance between 2 points.

Here,
Two lines are ___ if and only if they lie in the same plane and do not intersect.
The above statement is the definition of parallel lines, so the complete statement is,
Two lines are parallel if and only if they lie in the same plane and do not intersect.,

Two lines are __ if and only if they lie in the same plane and intersect at the right angles

The above statement is the definition of perpendicular,
So the complete statement is,
Two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles.

Thus, the required correct option is option A, Parallel and perpendicular.

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What is the inverse of function f?
f(x) = 10/9x+11

Answers

Answer:

hope this helps!

Step-by-step explanation:

The inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

What is an inverse function?

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable. In an inverse function, the value of two variables x and y are interchanged, and then the value of y is given an inverse function.

Given function is f(x) = ( 10/9x) + 11. the inverse function will be calculated as below:-

y = 10/9x+11

x = ( 10 / 9y ) + 11

x - 11 = ( 10 / 9y )

9y / 10 = ( 1 / ( x - 11 )

9y = 10 / ( x - 11 )

y = ( 10 ) / ( 9x - 99 )

Therefore, the inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).

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PLEASEEEEEE HELPPPP!!!!

Answers

I believe this would be correct.
This would be about correct!

Simplify the expression:
-5a – 6a + -9a

Answers

Answer:

-20a

Step-by-step explanation:

-5a-6a+-9a

-11a+-9a

-20a

Pls take a look at the picture! It should be easy if you know radicals.

Answers

Answer:

The answer is 2√15 .

Step-by-step explanation:

Using Indices Law :

[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]

[tex] \sqrt{ - 6} \times \sqrt{ - 10} [/tex]

[tex] = \sqrt{ - 6 \times - 10} [/tex]

[tex] = \sqrt{60} [/tex]

Next, you have to find the common factors of 60 :

60 = 1×60

60 = 2×30

60 = 3×20

60 = 4×15

60 = 5×12

60 = 6×10

In order to simplify, we have to choose a perfect square from the factors above. In the factors above, 4 is a perfect square so that we can square root it :

[tex] \sqrt{60} [/tex]

[tex] = \sqrt{4 \times 15} [/tex]

[tex] = \sqrt{4} \times \sqrt{15} [/tex]

[tex] = 2 \times \sqrt{15} [/tex]

[tex] = 2 \sqrt{15} [/tex]

Metric countries rate the fuel efficiency of a car by the number of liters of gasoline required to drive 100 kilometers. If a car takes 9 liters per 100​ kilometers, what is its efficiency in miles per​ gallon? Use the conversions 1 gal= 3.7854 L and 1 mile = 1.6 km.
WILL MARK BRAINLIEST

Answers

10L/100km(1.6km/1Mile)(1gal/3.7854 L)=16 Gallons/378.54 Miles=
23.7 Miles/Gallon

The efficiency of the car in unit miles per gallon will be 26.28.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

Given that,

The car takes 9 liters per 100​ kilometers

9 liters ⇒ 100 km

Since 1 gal= 3.7854 L → 1 L = (1/3.7854) gal

9 L = (9/3.7854) gal

1 mile = 1.6 km → 1 km = (1/1.6) miles

100 km = (100/1.6) miles

So, (9/3.7854) gal ⇒ (100/1.6) miles

Efficiency = (100/1.6) ÷ (9/3.7854)

Efficiency = 26.28 miles/gal

Hence "The efficiency of the car in unit miles per gallon will be 26.28".

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How long would it take a bus traveling at 52 km/h to travel 130 km ??

Answers

Answer: 2.5 hours

Step-by-step explanation:

130 / 52 = 2.5

A bus will take "2.5 hours" to travel.

Given that:

Speed of bus (s),

= 52 km/h

Distance (d),

= 130 km

As we know,

→ [tex]Speed = \frac{Distance}{Time}[/tex]

or,

→ [tex]Time = \frac{Distance }{Speed}[/tex]

By substituting the values, we get

            [tex]=\frac{130}{52}[/tex]

            [tex]=2.5 \ hours[/tex]

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To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used?

Answers

Answer:

The answer is c

Step-by-step explanation:

To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent.

A bag contains 26 red marbles, 8 white marbles, and 5 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 117 times. How many white or gray marbles do you expect to get?

Answers

Answer:

39

Step-by-step explanation:

A hat contains four balls. The balls are numbered 3, 6, 6, and 7. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the two balls are added together.

A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using the sum of the numbers on the balls. The sizes are small, medium and large.

Which description accurately explains how a fair decision can be made in this situation?


If the sum is 9, a small cone will be ordered.
If the sum is 10 or 13, a medium cone will be ordered.
If the sum is 12, a large cone will be ordered.

If the sum is 9, a small cone will be ordered.
If the sum is 10 or 12, a medium cone will be ordered.
If the sum is 13, a large cone will be ordered.

If the sum is 9 or 10, a small cone will be ordered.
If the sum is 12, a medium cone will be ordered.
If the sum is 13, a large cone will be ordered.

If the sum is 9 or 12, a small cone will be ordered.
If the sum is 10, a medium cone will be ordered.
If the sum is 13, a large cone will be ordered.

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

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