What is the image of (2, 1) after a dilation by a scale factor of 4 centered at the
origin?
HELP

Answers

Answer 1

Answer:

The image of the point is (8, 4)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)

Let us solve the question

∵ The point is (2, 1)

x = 2 and y = 1

∵ The point dilated by a scale factor of 4 centered at the origin

k = 4

→ By using the rule above multiply each coordinate of the point by 4

∵ The image of the point is (kx, ky)

∵ kx = 4 × 2

kx = 8

∵ ky = 4 × 1

ky = 4

The image of the point is (8, 4)


Related Questions

find QR. help please and thank you<3

Answers

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

What is an isosceles triangle?

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

To learn more about an isosceles triangle visit:

https://brainly.com/question/10147636.

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Find the product.
-3( -12)

-3( -12) =

Answers

36 because -3x-12 = 36

What is a SKEW in Geometry?

Answers

Two or more lines which have no intersections but are not parallel

I need to know then measurement of c

Answers

C is 666666688888 from my lookings. Jk

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]

Step-by-step explanation:

✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]

The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.

❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]

☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]

∠B = 3x°∠ C = 4x°∠ A = 2x°

☄ [tex] \underline{ \sf{To \: Find :}}[/tex]

Measure of C

✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]

[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]

→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]

→ [tex] \sf{9x = 180 \degree}[/tex]

→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]

→ [tex] \sf{x = 20 \degree}[/tex]

The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :

[tex] \text{∠c = 4x}[/tex]

→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]

→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]

Hence , The measure of ∠ C is 80 °

Hope I helped ! ッ

Have a wonderful day / night ! ♡

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1. Use the points in the diagram to name the figure.
C
D
is is 8 IA
DC

Answers

Answer:

its the last one maybe

DC

Please answer all of it. If good explanation will mark as brainliest.

Answers

Answer:

3. H

4.O

5.O

6.O

Step-by-step explanation:

Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)

Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)

Sorry I don't know how to do the second part but I hope this helps.

The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

A charter bus travels 225 miles in
4.5 hours. Assume the
distance traveled is directly
proportional to the time spent.
Write a direct variation equation.

A) x + 50 = y

B) y + 50x = 0

C) x= - 50 y

D) y = 50x

Answers

D because y (time spent) = 50 × x (distance travelled)

225÷4.5=50

x÷y=50

Pls help I’m bad at math no matter how much I try

Answers

Answer:

9/1 = 0.9

2 = 2.0

3 1/10 = 3.1

10 = 100

Step-by-step explanation:

BRAINLIEST

Like terms of 6ab^2

1. -3ab

2. 2ab^2

3.-6a^2 b^2

4.-5ab^2

5.6ab

Answers

Answer:

2nd option is the right answer

Plz can I get some help thank u sm

Answers

Step-by-step explanation:

The sum of two opposite interior angles equals an exterior angle

50+?=115

?=115-50=65°

Answer:

60 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees.

so do 180-115=60

because its an equilateral triangle, you can check whether it adds up to 180

60+60+50=180

please mark me as brainliest!!<3

Which number is irrational?
-4
2/9
Square root 11
8.26 repeating 6

Answers

Answer:

8.26 repeating 6/ square root 11

Step-by-step explanation:

Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number.

Answer:

C

Step-by-step explanation:

edge 2020 took the quiz

Find the Value of x and y. Iready

Answers

Answer:

x- 63 and y - 27

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?

Answers

If I’m not mistaken it should be 12 quarts of blue mixed with 21 red

Find the volume of this shape 11 cm 16 cm

Answers

The answer is 176 you multiply

what is the formula for finding missing angles of a triangle

Answers

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Helppppl +13 points & +star

Answers

Answer:

hope it helps

Step-by-step explanation:

...........

The difference of n and 2 is 10

Answers

Answer:

n-2=10

n=10+2

n=12

please thnx my answer

Answer:

12

Step-by-step explanation:

n - 2 = 10

(add 2 to the other side (Addition property of equality))

10 = n

Solve for x

Please Help!

Answers

Answer:

x=56

(I do not know 100% but give it a try)

Step-by-step explanation:

You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x    180-60= 120   120-40-24= 56

I think x=56


Not sure thi

2. Express each of the following as a rational number in the form of p/q
Where q≠0


Answers

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

20% of 260 students at hill middle school ride a bus to school. how many students ride a bus to school?

Answers

Answer:

52 students ride a bus to school

Step-by-step explanation:

Step 1: Our output value is 260.

Step 2: We represent the unknown value with x.

Step 3:  From step 1 above $260 = 100%.

Step 4: Similarly, x = 20%.

Step 5: This results in a pair of simple equations:

260 = 100%(1).

x = 20%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]

⇒x=52$

Therefore, 20% of 260 is 52.

Hope this helps! :)

BRAINLIEST PLEASEEE

The number of students who ride a bus is 52.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of students = 260

The number of students who ride a bus.

= 20% of 260

= 1/5 x 260

= 52

Thus,

The number of students who ride a bus is 52.

Learn more about percentages here:

https://brainly.com/question/11403063

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A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?

Answers

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

Margo can purchase tile at a store for $.99 per tile and rent a tile saw for $10. At another store she can borrow the tile saw for free if she buys tiles there for $1.49 per tile. How many tiles mushy by for the cost to be the same at both stores?

Answers

Answer:

The indifference point is 20 tiles.

Step-by-step explanation:

First, we need to establish the total cost formulas for each store:

Store 1:

Total cost= 10 + 0.99*x

Store 2:

Total cost= 1.49*x

x= number of tiles

Now, we equal both formulas and isolate x:

10 + 0.99x = 1.49x

10= 0.5x

10/0.5=x

20=x

The indifference point is 20 tiles.

plz help w these 5 problems. i’m begging anyone ! please please please .

Answers

Answer:

what the question

.

.

.

.

.

Plz can someone help me w/ this! ^_^

Answers

Answer: it would be a

Step-by-step explanation:

from my understanding you look at the sides and a traingale has 360 in total of the area.

so

.
What is (4x2-9X+1) -(5x2-x-7) written in standard form?

Answers

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

find the value of x.

Answers

Answer:

Step-by-step explanation:

the ration of the 2 figures are 4/3 from the larger to the smaller one

this means that 4/3*6=8

x-1=8

x=9

choice c

Can someone find the factors of this equation I’ll mark u as brainlist

Answers

Answer:

x = -4 , x = -1

Step-by-step explanation:

x² + 5x + 4 = 0

1) write 5x as a sum

x² + 4x + x + 4 = 0

2) factor out x from the expression

x ( x + 4 ) + x + 4 = 0

3) factor out x + 4 from the expression

( x + 4 )( x + 1 ) = 0

4) the product of factors equals to 0

i) x + 4 = 0

x = -4

ii) x + 1 = 0

x = -1

#1: Solve the inequality below.
-3x + 5 < -19

Answers

Explanation: Just like any of your two-step equations,

in this inequality,  start by isolating the x term which in this

case is -3x by subtracting 5 from both sides.

That leaves you with -3x < -24.

To get x by itself, divide both sides by -3 but watch out.

When you multiply or divide both sides of an inequality by a

negative number, you must switch the direction of the inequality sign.

So we have x < 8 and put your final answer in

set notation and it look like this → {x: x < 8}.

Convert the equation

2y + 4x = 10 to y = mx + b form

Show your steps.

I’ll mark as brainiest

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

First, subtract 4x from both sides. You will get 2y=-4x+10. Then divide both sides by 2 to isolate the y. You will get y=-2x+5.

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