Mathematics High School

What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?

Answers

Answer 1

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

Related Questions

this is an arithmetic progression. please help!

A graduate is required to pay his education loan of RM3960 in 24 monthly instalments, with the first instalment being RM 50. Subsequent instalments are increased by RM 10 each month. What is the amount of the last instalment?

Answers

Answer:

The last installment is RM 280

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

Given

AP with:

The first term a = 50,Common difference d = 10,Number of terms n = 24.

Solution

Use the nth term equation of AP to find the last installment:

[tex]a_n=a_1+(n-1)d[/tex][tex]a_{24}=50+(24-1)(10) = 50+23*10=50+230=280[/tex]

PLEASE HELP WILL MARK BRAINLIEST NEED THE SMARTEST PEOPLE!!!

Answers

Answer:

-430

Step-by-step explanation:

evaluate using the values given :
3 pm; use m = 4, and p = 3

Answers

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3pm

m = 4

p = 3

Step 2: Evaluate

Substitute: 3(3)(4)Multiply: 9(4)Multiply: 36

Please help someone anyone please help

Answers

Answer:

if 135 calories represents 1/4 then a whole cup is 540 calories so two cups is 540 times 2 which is 1080

Step-by-step explanation:

Answer:

1080 calories

Step-by-step explanation:

135x8=1080

how far away is earth from the sun?

Answers

Answer:

the earth is 93.111 million miles away from the sun

149.85 million kilometres

What is the slope of a line perpendicular to the line whose equation is
4x – 3y = –27. Fully reduce your answer.

Answers

Answer:

-3/4

Step-by-step explanation:

We can rearrange the equation to get 3y = 4x + 27. Then we can find the slope intercept form: y = 4x/3 +9. You find the perpendicular slope by solving for the opposite and reciprocal of the current slope 4/3. So we would get -4/3, and then -3/4.

Find the difference: -15 - 47

Answers

Answer:

-62

Step-by-step explanation:

One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:

- (15 + 47)

- (62)

Remove the parentheses

-62

PLEASE ANSWER I NEED IT ASAP WILL AWARD BRAINLIEST AND GIVE POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

For 9:

1. Angle T and angle M are congruent because they are given

2. The line AH bisects angle THM because it is given

3. Angle 1 and angle 2 are congruent because of properties of angle bisection

4. The line AH is congruent to the line HA because of the reflexive property

5. Triangle TAH is congruent to triangle MHA because of AAS

6. The line TA is congruent to MA because of congruent triangles

For 10:

1. Angle H and angle J are congruent because it is given

2. G is the midpoint of FI because it is given

3. Angle 1 and angle 2 are congruent because they are vertical angles

4. Line HG is equal to line JG because of properties of midpoints

5. The triangles HIG and JFG are congruent because of AAS

6. The lines HI and JF are congruent because of congruent triangles

f(x) = x² + 3x
f(-4)=
evaluate the function

Answers

Answer:

Step-by-step explanation:

f(x) = x² + 3x

f(-4) = (-4)^2 + 3×(-4)

= 16 - 12

= 4

Transformations of functions and domain

Answers

by looking at the graph given we can see that:

The graph is decreasing in (-∞, -5]The graph is increasing in [5, ∞)

And the function is never constant.

How to determine in which intervals the function increases, decreases or is constant?

Here our function is:

f(x) = √(x^2 - 25)

And we have a graph of it.

First, remember that the argument of a square root needs to be zero or larger, so the interval (-5, 5) is not in the domain of our function.

We also can see that this is a square root, so there are no interval where the function is constant.

Finally, by looking at the graph given we can see that:

The graph is decreasing in (-∞, -5]The graph is increasing in [5, ∞)

If you want to learn more about domains:

https://brainly.com/question/1770447

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Which of the following is divisible by 3?

Answers

Answer:

108 and 150

Step-by-step explanation:

108/3=36

150/3=50

Which of the following is NOT always true of a function and its inverse?

Answers

The statement that is not always true of inverse functions is (d) f-1(x) is a function

What are inverse functions?

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

How to determine the statement that is not always true of inverse functions?

As mentioned above,

The inverse functions are the opposite of an original equation

This means that:

If a function is f(x), then the inverse if f-1(x)

However, all inverse equation are relations, but not all inverse equations are functions

This means that the statement that is not always true of inverse functions is (d) f-1(x) is a function

Answers

Answer:

840 beats in 30 minutes

Step-by-step explanation:

if its 28 a minute than you just need to multiply that by the number of minutes

Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)

Answers

Answer:

the second answer

Step-by-step explanation:

.........

Write the expression in simpliest form WILL GIVE GIVE BRAINLIEST
5 ( x - 1)

Answers

Answer:

5x-5

Step-by-step explanation:

pls give brainliest

Answer:

5x − 5

Step-by-step explanation:

Multiply x by 5, which will give you 5x

Then multiple 1 by 5, you get 5.

You end up with 5x - 5

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpoint

I NEED HELP WITH BUMBER 3 PLEASE ASAP ILL LOVE U FOR EVER AND IF YOU CANT SEE THE WORDS VERY WELL THAN U CAN JUS ZOOM IN

Answers

Answer: i can't see it sorry to blery

Step-by-step explanation:

i need help with this

Answers

Answer: A.3x² - 2x - 6

Step-by-step explanation:

Which value is closest to 0 on the number line?

A. 20

B. -21

C. |2|

D. |-3|

Answers

u r the very much welcome

Answer:

The answers C

Step-by-step explanation:

hope this helps

Easy math problems!!!!!!!!

Answers

Answer:

2√23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. Therefore, we can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = √88

Leg b = 2

Hypotenuse c = x

Step 3: Solve for x

Substitute: (√88)² + 2² = x²Exponents: 88 + 4 = x²Add: 92 = x²Isolate x: √92 = xSimplify: 2√23 = xRewrite: x = 2√23

Answer:

Mm did you do this already its been 4 days just want to make sureee

Step-by-step explanation:

Maria drove 520 miles in 8 hours. How many miles per hour did she drive?

Answers

Answer:

65 mph

Step-by-step explanation:

520/8 is 65

Im on a test and i need the answer really bad please help me out

Answers

I’m not sure but good luck with your test

Study harder dude fishie on me got fishie I’ll slap ur knee

-2/3(3x - 4) +3x =5/6
What is X

X= -19/6
X= -11/6
X = 21/6
X=29/6

Answers

The value of x from the given linear function is -11/6

Linear equation

Linear equations are expression that has a leading degree of 1

Given the linear equation below

-2/3(3x - 4) +3x =5/6

Expand

-2/3(3x) - 2(-4) + 3x = 5/6

-2x + 8/3 + 3x = 5/6

Collect the like terms

x = 5/6 - 8/3

x = (5-16/6

x = -11/6

Hence the value of x from the given linear function is -11/6

Learn more on linear equation here: https://brainly.com/question/2226590

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32. Which of the following best describes the relationship between AABC and ADEF? (1 point)
B
E
A
TH
D
F
O AACBAFED
O AABC ADEF
O AABC AEFD
O AABC ADFE

Answers

Answer:

2) tri ABC is congreunt to tri DEF

Step-by-step explanation:

you would have to make sure you name the traingles in a specific order so the congruent angles in both triangles are listed in the same order :))

The option that best describes the relationship between AABC and ADEF is AABC ~ ADEF, the correct option is B.

What are similar triangles?

All similar triangles are triangles that share these two features presented as follows;

1. Congruent angle measures.

2. Proportional side lengths.

We are given that;

AB is similar to DE: BC is similar to EF; AC is similar to DF; ZA is similar to ZD; ZB is similar to ZE; ZC is similar to ZF.

Now,

The relationship between two similar triangles is that their corresponding angles are equal and their corresponding sides are proportional1. This means that if AABC and ADEF are similar, then:

∠A = ∠D

∠B = ∠E

∠C = ∠F

AB/DE = BC/EF = AC/DF

To describe this relationship, we can use a notation that shows which angles and sides correspond to each other. For example, we can write:

AABC ~ ADEF

This means that triangle ABC is similar to triangle DEF and the order of the letters shows how they match up. The first letter of each triangle corresponds to the first angle, the second letter corresponds to the second angle, and so on.

Therefore, by similar triangle properties the answer will be AABC ~ ADEF.

More can be learned about similar triangles at; brainly.com/question/14285697

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Suppose x = 9 is a solution to the equation f(x) = g(x). If a table of values for the equation y = f(x) contains an x-value of 9 and a corresponding y-value of 18, then which of these statements is correct about a table of values for the equation y = g(x)?

A
If it contains an x-value of 9, the corresponding y-value must be 9.

B
If it contains an x-value of 9, the corresponding y-value must be 18.

C
If it contains a y-value of 18, the corresponding x-value must be 9.

D
If it contains a y-value of 18, the corresponding x-value must be 18.

Answers

Answer:

I think it may be A

Step-by-step explanation:

Which two points have the same absolute value?
P Q R S
_______________
-1 0 1

Answers

Answer:

-1 and 1

Step-by-step explanation:

Solve Ax − By = C for x

Answers

X=c/b+by/a I think that’s the answer

PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6

Answers

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Someone, please help me!! I don't understand

Answers

All triangle equal 180 degrees so add the 53 and 90 and it’s 90 because it’s a right triangle 53+90= 143 then subtract 143 from 190 so 190- 143= 47 so the missing degree is 47

Max puts a stopper in the bathtub and turns on the faucet at t=0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g, to the time, t. Does the relationship represent a linear function? Justify your response.

Answers

Answer:

y = 2.2x

Yes, it represents a linear function

Step-by-step explanation:

Given that :

Stopper applied at t = 0

At t = 5 minutes ; water in tub = 11 gallons

At t = 10 minutes ; water in tub = 22 gallons

General form of a linear function :

y = mx + c

Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively

The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0

Slope = change in y / charge in x

Slope = (22 - 11) / (10 - 5)

Slope = 11 / 5

Slope = 2.2

Hence ;

y = 2.2x + 0

y = 2.2x

Yes, it represents a linear function

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What’s point B’ What’s point C’ After being dilated by a scale factor 1.5?

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What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?