The vertices of a triangle are A(-1,4), B(4, 5),
and C(6, -2). After a dilation with center (0,0)
and a scale factor of 3, the vertices are translated
T(-2,5).
a. Is the image congruent to the original triangle?
Is the image similar to the original triangle?
b. What are the vertices of AA'B'C', the final
image?

Answer:

ITS IS D (4,-3)

Step-by-step explanation:

Ap ex

The coordinates of M is M’(4,-3).

Rotation means the circular movement of an object around a center. It is possible to rotate different shapes by an angle around the center point.

Given:

LMNP is rotated 90° clockwise around the origin.

If we rotate the figure in LMNP  about 90 degrees then the coordinates will change into

(x, y)  to (y, -x).

As, x= 3, y=4

Hence, the coordinates of M is M’(4,-3).

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Answer:

(72 divided by 6) + 6

Step-by-step explanation:

78 divided by 6 is 13. The question (72 divided by 6) + 6 does not equal to 13, it equals to 14, therefore (72 divided by 6) + 6 is not equivalent.

Answer:

(72 divided by 6) + 6

Step-by-step explanation:

Answer:

y = 110

Step-by-step explanation:

ABCD is a cyclic quadrilateral ( its vertices are on the circle )

The opposite angles are supplementary, sum to 180° , then

∠ C = 180° - 70° = 110° , thus

y = 110

Answer:

3.6 hours

Step-by-step explanation:

The computation of the number of hours will the battery last is given below:

Given that

The capacity of her battery is 2 by 5

And, it declines 1 by 9 for every hour

So,

[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

= 3.6 hours

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

Answer:

9x and 4x

Step-by-step explanation:

Answer:

752 ft

Step-by-step explanation:

Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:

-16(1.5)²+64(1.5)+80

solving this, we get:

-24²+96+80

576+96+80

752

Answer:

good for him

Step-by-step explanation:

Answer:

Step-by-step explanation:

-40x + 8y = -24

 3x  -  8y = 24

-37x = 0

x = 0

0 + y = -3

y = -3

(0, -3)

Answer:

I will show you how to solve for x and y.

Step-by-step explanation:

-5x + y = -3

3x - 8y = 24

You can isolate y in the first equation, and substitute that into the second equation.

so to isolate y in -5x + y = -3, you would add 5x to both sides

this gives you y = 5x - 3

Then substitute this y into the equation below.

3x - 8(5x-3) = 24     (this way, the y variable disappears)

then distribute the 8 into the bracket

3x - 40x + 24 = 24

combine the variables

-37x + 24 = 24

isolate x by moving the constants to one side

-37x = 0

so x = 0

I am not sure if you want the rest, but here it is.

substitute x = 0 into one of the equations.

-5x + y = -3

-5(0) + y = -3

y = -3

Answer:

850.9 feet

Step-by-step explanation:

The horizontal distance between Ryan and the dolphin is 850.907 feet.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Ryan is 228 feet above the water and the angle of depression to the dolphin is 15.

Using trigonometry

tan 15 = 228/ x

x= 228/ tan 15

x= 228 / 0.26794919243

x = 850.907  feet

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Answer

d=25+15x I think

Answer:

I think the answer is C

Step-by-step explanation:

456÷12= 38

95÷38= 2.447 (about 2.5)

Answer:

true

Step-by-step explanation:

Answer: False

Step-by-step explanation: Similar means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

Answer:

2/3

Step-by-step explanation:

The slope is a 2/3 gradient :>>

Answer:

I believe that the answer is 2/3.. but I may be wrong...

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

2x = 5

x = 5/2 = 2.5

I hope im right!!

This is just the same as asking you what number when subtracted by 20.5 will give you an answer of 8. The answer would obviously be 8+20.5=28.5 so w=28.5.

We can also do it in a more algebraic way. By adding 20.5 to both side of the equation which won't change the value.

w-20.5+20.5=8+20.5

w=28.5

Any questions just ask me in the comments of this question :)

Answer:

Step-by-step explanation:

1: no

2 yes

3 no

4 yes

5 no

6 no

7 always

8 always

9 never

10 always

11 always

12 never

13 108

14 80

15 70

16 123

17 38

18 167

19 10

20 154

Answer:

the slope is: Positive

slope is: 1/5

y-intercept: -4

equation is: y = 1/5x - 4

Answer:

Slope: Postive

Slope: 5

Y-Intercept: -4

Equation: y = 5x - 4

Step-by-step explanation:

A positive slope rises left to right, a negative slope rises right to left.

The slope is [tex]\frac{rise}{run}[/tex].

The y-intercept is where the line meets the y-axis.

The equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.

Hope it helps and is correct!

Options B,D, and E are correct as per the given Function of the revenue.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

A. At $2 per coffee mug, the revenue will be $196.

This statement is incorrect.

If the price per mug is $2, then the revenue would be (220 - 12x) * 2. If x = 12 (i.e. 12 mugs are sold), then the revenue would be (220 - 12(12)) * 2 = $176.

B. The school expects to sell 160 mugs if the price is $5 each.

This statement is correct.

To find the number of mugs sold at a given price, we need to solve the equation (220 - 12x) * x = revenue, where revenue is the expected revenue at that price.

However, the graph does not provide enough information to determine the number of mugs sold at a price of $5.

C. The school will lose money if it sells the mugs for more than $10 each.

This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases, up to a maximum revenue of about $1,000 when the price is $10 per mug. Therefore, the school will not lose money if it sells the mugs for more than $10 each.

D. The school will earn about $1,000 if it sells the mugs for $10 each.

This statement is correct. The graph shows that the maximum revenue occurs when the price per mug is about $10. At this price, the revenue is approximately $1,000.

E. The revenue will be more than $700 if the price is between $4 and $14.

This statement is correct.

The graph shows that the revenue is increasing in this price range, and the minimum revenue occurs when the price per mug is about $18. Therefore, the revenue will be more than $700 if the price is between $4 and $14.

F. The expected revenue will increase if the price per mug is greater than $10.

This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases up to $10, but then it starts to decrease. Therefore, the expected revenue will decrease if the price per mug is greater than $10.

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Complete question:

Answer:

32.6193819

Step-by-step explanation:

calulater never lies XD

Answer:

The answer should be: x=2,-12

which on your answer should backwards: {-12,2}

Step-by-step explanation:

Answer: 4x+12

Step-by-step explanation:

The distributive property states that a(b+c) = ab+ac.

Thus, simply do 2*2x+2*6 = 4x+12

Hope it helps <3 :D

Answer:

10 miles

Step-by-step explanation:

Answer:

y=7×-9 I going to be your answer

Answer:

slope = -1/4, y-intercept = 50

Step-by-step explanation:

x=0 y=50

x=100 y= 25

y= mx+b

b= 50

25= 100 m +50

100m = - 25

m= -1/4

where m is the slope and b is the y intercept

Answer:

yeet

Step-by-step  

i dont know

Answer:

The answer are

[tex]m < 1 = 41 \\ m < 2 = 90 \\ m < 3 = 41 \\ m < 4 = 49[/tex]

Step-by-step explanation:

I am a math teacher. If you need any explanation on math you can communicate with me on Whats on this number 01557831028