What is the image point of (-7,4) after a translation left 3 units and up 5 units

Answers

Answer 1

The image point of A ( -7 , 4 ) after a translation of left by 3 units and up by 5 units is ( -10 , 9 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the point be A ( x₁ , y₁ ) be = A ( -7 , 4 )

Now , the translation of point A ( -7 , 4 ) by left 3 units is

A ( -7 - 3 , 4 )

Now , the new point after the translation by left 3 units

A' ( -10 , 4 )

And the translation of point A' ( -10 , 4 ) by up 5 units is

A'' ( -10 , 4 + 5 )

Now , the new point after the translation up by 5 units is

A'' ( -10 , 9 )

So , the image after the translation of left by 3 units and up by 5 units is

A'' ( -10 , 9 )

Hence , the image after translation is is A ( -10 , 9 )

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Related Questions

Lauren answered 150 questions correctly on her multiple choice history final that had
a total of 200 problems. What percentage of questions did Lauren answer correctly
on the final exam?

Answers

She answers 75 percent correctly

if a=120 degrees find the measures of b,c, and d

Answers

Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

the product of a and eleven

Answers

Answer:

11a

Step-by-step explanation:

you can't find the exact answer unless we know what a is equal to

Is 7.525225222....... rational or irrational ?

Answers

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

Diego needs to put down sod on a yard that measures 30 feet by 45 feet. Company A says it can do the job for $3.90 per roll of sod, where one roll of sod is a rectangle with dimensions of 2 feet by 5 feet Company B says it can do the job for $150.00 per pallet that covers 450 square feet plus a $45 one-time dellvery charge. Which company is a better deal ? How much will Diego save?

Answers

Answer:

Company B is the better deal. Diego will save $31.5.

Step-by-step explanation:

First, find the area of the rectangle: 45*30=1350 sq.ft.

Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)

Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.

Multiply $3.9 by 135=526.5$

Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.

Dived 1350 by 450 to see how many rolls= 3

Multiply $150 by 3= $450, then add $45= $495

Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.

Diego will save $31.50 by choosing Company B instead of Company A.

What is Algebra?

For business A:

The yard's entire square footage is calculated as,

⇒ 30 x 45

⇒ 1,350 square feet

The total area covered by each roll of sod must then be determined in square feet is calculated as,

⇒ 2 x 5

⇒ 10 square feet per roll

The total quantity of sod rolls required is calculated as,

⇒ 1,350 / 10

⇒ 135

The price of each roll of sod is $3.90, making the total price of the sod calculated as,

⇒ 135 x $3.90

⇒ $526.5

For business B:

The garden is still 1350 square feet in size overall. Pallets have a surface area of 450 square feet each, thus a total of:

⇒ 1,350 / 450

⇒ 3

The price of the sod is $150.00 per pallet, making the total price calculated as,

⇒ 3 x $150

⇒ $450

In addition, there is a $45.00 one-time shipping fee. Therefore, Company B's overall cost is calculated as,

⇒ $450.00 + $45.00

⇒ $495.00

We can see by comparing the two options that Company B is the better value because it is less expensive than Company A. Diego will save:

⇒ $526.50 - $495.00

⇒ $31.50.

Diego will save $31.50 by choosing Company B instead of Company A.

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George was building a staircase for his dog to get up on his bed. The first step is made from 2 boards, the second out of 4 boards, and the third out of 6 boards. There are 8 steps in the staircase. How many boards did George use to create the last step? A 10 B 12 C 16 D 24

Answers

C 16 is the answer

you have to add 2 at each step so 2x8= 16

Answer: C

Step-by-step explanation: I am a big brain pro.

If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?

Answers

(4,0), go right 3 and down 2

After a translation (x+3, y-2)  the coordinates of D' be  (4, 0).

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).

Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).

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Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because
4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know.

Answers

Answer:

because the way she asked it and the way she put in in form

Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

What is a ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

It is given that Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4 + 8 = 12 and 1 + 8 = 9. Calculate the ratio now.

The above statement is wrong the ratio will be calculated as:-

12 / 9 = ( 3 x 4 ) / ( 3 x 3 )

Take 3 commons from the numerator and the denominator of the ratio.

         = 4 / 3

Therefore, Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

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chris is investing how long it takes his dog to react to different sounds. What is the independent variable?

Answers

I’m pretty sure it’s the different sounds

14. Sixteen is the same as the quotient of a number and 12.

Answers

Answer:

16 = n/12

Step-by-step explanation:

16 = n/12

Find the missing angles with reasons. plz quick it is due today

Answers

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \sf{see \:below}}}[/tex]

Step-by-step explanation:

d = 64° ( Being vertically opposite angles )

e = 64 ° ( Being alternate angles )

2. g + 125 ° = 180 ° ( sum of supplementary angle)

Move 125 to right hand side and change it's sign

g = 180° - 125°

Subtract 125 ° from 180 °

g = 55 °

f = g ( being alternate angles )

f = 55 °

Hope I helped!

Best regards! :D

Find the area of a circle with a radius of 7 meters.​

Answers

Step-by-step explanation:

Area of a circle = πr^2 = π(7)^2 = 49πm^2.

Answer:

153.94 meters

Step-by-step explanation:

A= [tex]\\\pi[/tex][tex]r^2[/tex]

[tex]A=\pi \\[/tex][tex]7^2\\[/tex]

[tex]7^2 = 49[/tex]

[tex]\pi[/tex] x [tex]49 = 153.94[/tex]

help please urgent!!!! 10 points

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First you need to know the area of a triangle:

  ✧ ½ x b x h

✦ Now write you formula out:

  ✧ ½ x 5 x 4

   

✦ Now just solve:

  ✧ 5 x 4 = 20

  ✧ 20 / ½ = 10

So it'd be 10 m²

~Hope this helps Mate. If you need anything feel free to message me.

Simplify [tex]\frac{9x^2 - 3x}{6x - 45x^2}[/tex]

Answers

There are multiple ways of going about this, but what I find easiest for a problem like this is to find the GCF of all the terms.

The GCF of [tex]9x^2,-3x,6x,-45x^2[/tex] is [tex]3x[/tex].

Meaning that we can take out 3x out of all the terms and still be left with the simplest, yet equivalent for of the expression.

[tex]\frac{2x-1}{2-15x}[/tex]

Help me with this. Am just bad with this

Answers

Answer:

0.36  

or

Step-by-step explanation:

Z= pi^3h, solve for h

Answers

Answer:

Z/ pi^3 = h

Step-by-step explanation:

Z= pi^3h

Divide each side by pi ^3

Z/ pi ^3= pi^3h/pi ^3

Z/ pi^3 = h

Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.

Answers

Answer: Choice (a) in the upper left corner

Angle A = 68 degrees

Angle B = 22 degrees

Side AB = 2.9 cm

The three values are approximate

=========================================================

Explanation:

a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

2.7^2 + 1.1^2 = c^2

8.5 = c^2

c^2 = 8.5

c = sqrt(8.5)

c = 2.91547594742266

c = 2.9

The hypotenuse is c = AB = 2.9

--------------------

We then use trig ratios to find the two missing angles.

Let's say we ignore the hypotenuse and focus on the two legs of the triangle.

With respect to reference angle A, side BC is opposite and AC is adjacent

Use the tangent ratio to get

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 2.7/1.1

tan(A) = 2.45454545454546

A = arctan(2.45454545454546)

A = 67.8336541779176

A = 68

Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.

-------------------

Similarly,

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 1.1/2.7

tan(B) = 0.4074074074074

B = arctan(0.4074074074074)

B = 22.166345822082

B = 22

Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.

-------------------

In summary we found

A = 68

B = 22

AB = 2.9

The noontime temperature was 29F. This was 4F lower than predicted. Write and solve an equation to determine the predicted noontime temperature. Show that your answer is reasonable

Answers

Answer:

x=33

Step-by-step explanation:

First you haft to find what x is to find the answer

x - 4 = 29

First add 4 to -4 so the cancel out and then you add 4 to 29.

x - 4 = 29

  +4    +4

-----------------

x     =   33

if you see this I really need help on this question asap ty so much... "The flagpole in the diagram below has a height of 10ft. The shadow is 12 feet long. What is the distance from the top of the flagpole to the far end of its shadow? (round your answer to the nearest hundredths)"

Answers

Answer:

15.62 feet

Step-by-step explanation:

If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.

[tex]a^{2} + b^{2} = c^{2}[/tex]

let height of flagpole = a

let length of shadow = b

let distance between the two = c

[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]

the prism has a volume up to 150.find the length of the prism

Answers

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

Step 1

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

Step 2

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

[tex]150 / 20=7.5[/tex]

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

Help me I need this fast!!

Answers

I only know what the first one is
Statement is / /_1 and /_2 are supplements , /_3 and /_4 are supplements and /_1 ~= /_4
Reason is given
Hope this helps a little

what is 2/5 + 7/8?
a - 9/40
b - 9/13
c - 50/40
d - 51/40​

Answers

Answer:

51/40

Step-by-step explanation:

2/5+7/8

(2*8/5*8)+(7*5/5*8)

16/40+35/40

=>51/40

NEED BOTH ANSWERED!!!

Is the relation a function?

○ True
○ False

Answers

Answer:

The first picture without the diagram is true, and the other one is false.

Step-by-step explanation:

A relation can be a function if the domain has exactly one range. IT CANT HAVE TWO Y-VALUES.

Identify the domain and range of the relation {(-5, 4, (-4, -1), (-2, 1), (0, 4), (1, 3)

Answers

Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

BC has one endpoint
B(3,2) and a midpoint
T(6,-2). Find the
coordinates of the
other endpoint, C.

Thank you in advance!!

Answers

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

NEED ANSWER ASAP!!! PLEASE

Answers

Answer:

8

Step-by-step explanation:

find the value of x.

x+7+9=3x-6

x+16=3x-6

10=2x

x=5

plug into the equation for ST.

x+3

5+3 = 8

Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478

Answers

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

Can anybody help me? I do not understand this

Answers

Can someone help me in my questions I m really stuck

Answer:

f(0) = 3x : 0

f(1) = 3x : 3

f(2) = 3x : 6

f(3) = 3x : 9

Step-by-step explanation:

A real estate agent's base salary is 22,000 per year. The agent earns a 4% comission on total sales. How much must the agent sell to earn 60,000 in one year

Answers

Answer: 950,000

Step-by-step explanation:

base salary is 22,000

Target 60,000

60,000-22,000 =38,000 which is 4%

So 38,000/4 = 9,500 which is 1%

So 9,500 * 100 = 950,000 which is 100% total sale

So commission of 4% on 950,000 is 38,000

Therefore 38,000 + 22,000 = 60,000

Please help ASAP this is due tomorrow

Answers

Answer:

c= hy−w /6y

Step-by-step explanation:This is what i got.

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