Draw the image of ABC under dilation whose center is P and scale factor is 4.

Answers

Answer 1

Answer:

By plotting points A', B' and C' we can get the dilated image A'B'C'.

Step-by-step explanation:

Let the point P is origin (0, 0), segment AB lies on the x-axis and segment PC on the y-axis,

Coordinates of A, B and C will be (1, 0), (2, 0) and (0, 2).

When triangle ABC is dilated by a scale factor 4 about the origin,

Rule for dilation;

(x, y) → (4x, 4y)

New coordinates of the points A, B and C will be,

A(1, 0) → A'(4, 0)

B(-2, 0) → B'(-8, 0)

C(0, 2) → C'(0, 8)

Answer 2

Answer:

Correct

Step-by-step explanation:

New coordinates of the points A, B and C will be,

A(1, 0) → A'(4, 0)

B(-2, 0) → B'(-8, 0)

C(0, 2) → C'(0, 8)


Related Questions

Help ASAP Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

Parallel to y=-3x+4,xintercept at 4

Answers

Answer: Equation: y=−3x+12

Explanation:

The x-intercept means y=0andx=4

Use the equation:

0=−3⋅4+b

Add 3⋅4=12 to both sides:

12=12

−12

=b→b=12

plz mark brainleist

A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y = m x + b to determine the amount to charge each customer.

What is the value of m in the equation?

Answers

Answer:

25

Step-by-step explanation:

It's what the others said, i'll change it if it's wrong

Based on the description of cost and the equation used, m in the equation would represent $25

m in the equation, y = mx + b, is the gradient. It is the figure that shows how much the cost will change in relation to time or activity.

In other words, m is the variable cost.

The only variable cost above is $25 which is variable because it increases per hour worked. m is there $25.

In conclusion, m is $25.

Find out more on the equation y = mx + b at https://brainly.com/question/9983274.

What is the value of 5 - 12?

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

5-12=-7

hope this helps lol

If point C, shown on the coordinate plane below, is reflected over both axes to create C’, what will be the coordinates of C’
(-3, 2)
(3, -2)
(3, 5)
(-3, -2)

Answers

Answer:

(-3, 2)

Step-by-step explanation:

Answer: (-3,2) is the Answer.

Step-by-step explanation:

Mark me brainliest please!

A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the
container has 4 gallons of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.
The water is leaking at the rate of
gal/min.

Answers

Answer:

2/5  or 0.4

Step-by-step explanation:

This is simplified. For  the question 4/10 .

Which choice is equivalent to 6(y-3)+2y-2
A. 8y-20
B. 4y-20
C. 8y-5
D. 8y-16

Answers

Answer: its 8y-20

You need to rmove the parenthesis and combine like terms

answer:
use the app m a t h w a y ! yw have a good day

Consider the graph of the sixth-degree polynomial function f.



Replace the values b, c, and d to write function f.
f(x)=(x-b)(x-c)^2(x-d)^3

Answers

Answer:

f(x)=(x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

The zeros of the function are x=-1, x=1, and x=4, so its factors are x+1, x-1, and x-4.

The graph touches, but doesn’t cross, the x-axis at x=-1. So the factor x+1 is a repeated factor with an even multiplicity.

The graph crosses the x-axis at x=4, but with a little curve before and after it meets this point. So the factor x+4 is a repeated factor with odd multiplicity.

The graph crosses the x-axis at x=1 with no curve before or after. So the factor x-1 is not a repeated factor.

Therefore, function f is defined by f(x)=(x-1)(x+1)^2(x-4)^3.

The sixth-degree polynomial that shows in the graph is [tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex] and this can be determined by evaluating the x-intercept of the given graph.

Given :

Sixth-degree polynomial -- [tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]

The following steps can be used in order to determine the value of b, c, and d:

Step 1 - Write the given sixth-degree polynomial.

[tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]

Step 2 - Observe the given graph and determine the x-intercept of the graph of the sixth-degree polynomial.

Step 3 - So, the x-intercepts that are the values of b, c, and d is given below:

b = -1

c = 1

d = 4

Step 4 - Substitute the values in the given sixth-degree polynomial.

[tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex]

For more information, refer to the link given below:

https://brainly.com/question/14375099

7 is a solution to the equation 3n + 9 = 33.
true or false

Answers

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

Multiply the binomials (x+5)(3x-1)

Answers

3x^2-5 is the answer, since (x+5)(3x-1) is multiplying 2 x variables, the x is squared, and the rest is easy math.

Can someone please help me asap I’ll mark brainlist?!?!

Answers

Answer:

40

Step-by-step explanation:

15/40 divided by 5= (15 divided by 5)/(40 divided by 5)= 3/8

Answer:

a = 40

Step-by-step explanation:

Cross multiply, then divide:

15 × 8 = 120120 ÷ 3 = 40

I hope this helps!

Sam found that 25% of the 236 patients he saw in a week were near-sighted. How many of the patients Sam saw were near-sighted?Sam found that 25% of the 236 patients he saw in a week were near-sighted. How many of the patients Sam saw were near-sighted?

Answers

Answer:

59 patients

Step-by-step explanation:

Total patients Sam saw in a week = 236

Percentage of patients near-sighted = 25%

How many of the patients Sam saw were near-sighted?

Number of patients near-sighted = 25% of 236

= 25/100 × 236

= 0.25 × 236

= 59

Number of patients near-sighted = 59 patients

The number of patients Sam saw in a week that were near-sighted is 59 patients

You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?

Answers

Answer:

The security cost is 575

Step-by-step explanation:

Given

[tex]y = 151x + 575[/tex]

x = days

y = cost

Required

Determine the security deposit

From the equation, we understand that

x represent days:

This implies that

151x represent the payment for x days.

So, the security cost is 575

The Edison Lightbulb Company tests 5% of their daily production of lightbulbs. If 500 bulbs were test on Tuesday, what was the total number of bulbs produced that day?

Answers

Answer: 10,000 bulbs

Step by step: sadly I’m not too good at explaining this one. :(

Answer:

1,000 lightbulbs that day were tested

Step-by-step explanation:

Is the following a function? (plz help ;-;)

Answers

Answer:

Yes this is a function

Step-by-step explanation:

For every inout there is one output

Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!

Answers

Answer:

I think It is 8 as well, but not sure

Step-by-step explanation:

please answer tell fast​

Answers

Step-by-step explanation:

After travelling 3/4 distance on the circular track, radii of the circle will make right angle and the displacement would be equal to the hypotenuse of this right triangle. Which by Pythagoras theorem is given as:

[tex]displacement \\ = \sqrt{ {400}^{2} + {400}^{2} } \\ = \sqrt{160000 + 160000} \\ = \sqrt{2 \times 160000} \\ = 400 \times 1.414 \\ = 565.6 \: m \\ \\ distance \\ = \frac{3}{4} \times circumference \: of \: circle \\ = \frac{3}{4} \times 2\pi \: r \\ = \frac{3}{4} \times 2 \times 3.14 \times 400 \\ = 6 \times 314 \\ = 1,884 \: m[/tex]

another one guyssslol

Answers

-5(3u + 1) + 10u simplified =
-5u - 5

Find the difference quotient for f(x) = 3x2 – 12.
_x+_h

Answers

Find f(x+h) and f(x), and plug these values into the difference quotient formula.

6x + 3h

The difference quotient for f(x) = 3x2 – 12 is 6x + 3h

How to determine the difference quotient?

The function is given as:

f(x) = 3x^2 – 12.

Calculate f(x + h)

f(x + h) = 3(x + h)^2 – 12

The difference quotient is then calculated using:

[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]

This gives

[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]

Evaluate the difference

[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]

Expand

[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]

Evaluate the difference

[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]

Evaluate the quotient

f'(x) = 6x + 3h

Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h

Read more about difference quotient at:

https://brainly.com/question/6200731

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Find the domain and range of the function represented by the graph. Select all that apply.

What is the range

Answers

Answer:

Domain: [-2, 0, 2, 4]

Range: [3]

Step-by-step explanation:

The domain of the function are all values of x that are plotted on the horizontal axis (x-axis), while the range are the corresponding y-values plotted on the vertical axis (y-axis).

Therefore,

Domain of the function = [-2, 0, 2, 4]

Range of the function = [3] (only 1 possible value of y can be seen as plotted on the gray]

how can you tell if a number is irrational

Answers

Answer:

Basically if its a non-terminating:non-repeating decimal its irrational.

For Example:Pi:π = 3.141592…as you may know it goes on into infinity without a specific pattern to it

HOPE THIS HELPS!

-4.6+5.3 help please thank you are the best

Answers

Answer:

0.7

Step-by-step explanation:

Answer:0.7

Step-by-step explanation: you can use a Calculator to help

I need help please! dont guess please I really need the correct answer this is a test quesion1
Select the correct answer
simplify:
3 x 3^2 + 8 ÷ 2 - (4 + 3)

A. 30
B. 24
C. 23
D. 32

Answers

Answer: B

Step-by-step explanation:

help please, i will mark you brainliest!!

Answers

Answer:

b

Step-by-step explanation:

Which set represents the same relation as the graph below?Which set represents the same relation as the graph below?

A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).

StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet

Answers

Answer:

B; SECOND GRAPH

Step-by-step explanation:

Took the test

The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

What is a Relation?

A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.

From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

Learn more about relation on:

https://brainly.com/question/1579288

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PLS HELP ME 16 and 17

Answers

The distance is 36 from 16 there u go

Are the lines given parallel, perpendicular, or neither? y=3x-7 and y=3x+1. Please help!

Answers

Answer:

These lines are parallel to each other

Step-by-step explanation:

It has the same slope of 3 and the only thing that is different is the y-intercept

select all input values for which g(x)=8
choose all that apply
a)x=-4
b)x=6
c)x=9
d) none of the above

picture of graph:

Answers

Answer:

a. x = -4

c. x = 9

Step-by-step explanation:

Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.

We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.

On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.

Thus:

g(-4) = 8

g(9) = 8.

The possible input values for which g(x) = 8, are x = -4, and x = 9.

In the figure, x=2y, y=2z, and z=2w. Find the value of w. A. 12° B. 30° C. 36° D. 45°

Answers

Answer:

w=12

Step-by-step explanation:

put it like this

x=x

x=2y

x=4z

x=8w                         Now, x=8w, y=4w because there are 2 y's and 8/2 is 4, same thing goes with z so z=2w and w=w.

8+4+2+1=15             180/15=12

BRAINLIEST ANSWER!! ASAP

3(x+1)+6=-9
PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

x=-6

Step-by-step explanation:

use distributive property on the () and times x and 1 by three

then you subtract 6 from both sides

then subtract three from both sides

then divide both sides by 3

your work would look like this:

3(x+1)+6=-9

3x+3+6=-9

3x+3=-15

3x=-18

x=-6

Hope this helps!

Answer:

X=6

Step-by-step explanation:

3(x+1)+6=−9

Step 1: Simplify both sides of the equation.

3(x+1)+69(3)(x)+(3)(1)+6=−9

(Distribute)

3x+3+6=−9(3x)+(3+6)=−9

(Combine Like Terms)

3x+9=−93x+9=−9

Step 2: Subtract 9 from both sides.

3x+9−9=−9−93x=−18

Step 3: Divide both sides by 3.

3x3=−18/3

x=−6

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