Mathematics High School

Triangle GHJ with vertices G(-2,4), H(3,6), and J(3,-2) is dilated by a factor of centered at the origin. What are the coordinates of G' after the dilation? 63,4) (2,4) . 3) O 12 2 3 3 3 (3,-4)

Answers

Answer 1

Answer:

The answer would most likely be the second one because that one makes the most sense here.

Step-by-step explanation:

Answer 2

When a triangle is dilated, the size of the triangle changes.

The coordinate of G' after dilation is: (a) [tex]\mathbf{(-\frac 23,\frac 43)}[/tex]

The vertices are given as:

[tex]\mathbf{G = (-2,4)}[/tex]

[tex]\mathbf{H = (3,6)}[/tex]

[tex]\mathbf{J = (3,-2)}[/tex]

The scale factor (k) is given as:

[tex]\mathbf{k =\frac 13}[/tex]

So, the image of G is calculated as:

[tex]\mathbf{G' = k \times G}[/tex]

This gives:

[tex]\mathbf{G' = \frac 13 \times (-2,4)}[/tex]

[tex]\mathbf{G' = (-\frac 23,\frac 43)}[/tex]

Hence, the coordinate of G' after dilation is: (a) [tex]\mathbf{(-\frac 23,\frac 43)}[/tex]

Related Questions

How many solutions does the system have?
x + 4y = 6
2x + 8y = 12

Answers

Answer:

none :)

Step-by-step explanation:

Infinite.
Multiply the first equation by -2 to get rid of whatever variable. Lets say I wanted to get rid of the variable X to solve for Y. To do that, I'd need to make x, -2x. Now the equation is -2x -8y = -12. If you add the two equations together, you'd get 0 = 0, meaning there are infinite solutions.

A bottle of hand lotion is on sale for $2.25. If this price represents a 50% discount from the original price,what is the original price to the nearest percent?

Answers

Step-by-step explanation:

50% is basically half. So if you double the price ($2.25) x 2 you will have your answer.

So the answer is $4.50..!

If the domain for
f (x) = 3x + 2 is
{-2,4,7}
What is the range?

Answers

Answer:

{8,14,-19}=R

..................

If f(x) = 2x + 1, what is f(x) when x = 3?
a)1
b)7
c)13
d)19

Answers

Answer:

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

In a group of 27 pupils, 7 play the flute only.
5 play the piano only.
10 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?

Answers

Answer:

5/27

Step-by-step explanation:

I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.

10+5+7 = 22

So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.

You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)

To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.

In which figure is point G a centroid?

a
b
c
d

Answers

Answer:

Step-by-step explanation:

You didn't provide us with correct choice

The centroid of a triangle is the point of intersection of its medians.

The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.

The figure whose centroid is point G is triangle LMN.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, From the attached image, we have the following highlights

There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves

The lines that pass through point G divides the three sides of triangle LMN into equal halves

The above highlights mean that:

Point G is the centroid of triangle LMN.

Hence, the figure whose centroid is point G is triangle LMN.

Answers

the cost of a burrito would be $2.50:)

2.50 cuhhhhhhhhhhhhhhhh

A line's y-intercept is 9, and its slope is 10. What is its equation in slope-intercept form?

Answers

Answer:

y=10x+9

Step-by-step explanation:

Slope intercept form is y=mx+b

m represents slope so 10 replaces the m

b represents the y-intercept (where the line crosses the y-axis) so 9 replaces the b

16) 472 students are going on a field trip. 120
students will be returning home and the
rest will be spending the night in cabins. If
a cabin sleeps 8 people, how many cabins
need to be rented?
A) 59 cabins B) 74 cabins
C) 44 cabins D) 4 cabins

Answers

472 - 120 = 352 students

352 ÷ 8 = 44 cabins

so c) 44 cabins need to be rented

Mr. Jeff has a budget of $150 to spend on music books. The cost of the books is $12. What is the maximum number of books can he buy?

Answers

Answer:

He can buy 12 books

Step-by-step explanation:

150 divided by 12 = 12.5 but you can’t have half of a book so round it down and you get 12

Hope this helps!

Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.

Answers

9514 1404 393

Answer:

D. The lines are perpendicular

Step-by-step explanation:

The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.

The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.

Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.

At the end of a snow storm, Allison saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 20 inches of snow on the lawn when the storm ended and then it started melting at a rate of 1.25 inches per hour. Write an equation for S , S, in terms of t , t, representing the depth of snow on Allison's lawn, in inches, t t hours after the snow stopped falling.

Answers

Answer:

S=20-1.25t

Step-by-step explanation:

I got this answer welcome.

The equation for depth of snow after t hours is, S = 20 - 1.25 t.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The initial depth of snow = 20 inches,

Rate of melting = 1.25 inches per hour.

After t hours, the snow melt = 1.25 t

The equation of the S in terms of t can be written as,

S= 20 - 1.25 t.

The required equation is S = 20 - 1.25 t.

To know more about Equation on:

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A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components LeftAngleBracket 14, 23 RightAngleBracket. After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station.

What are the characteristics of the vector representing the path of the ship?

components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 53.85
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85

Answers

Answer:

Step-by-step explanation:

Edge 2020

Answer:

Step-by-step explanation:

Find the value of the variable. Round the answer to the nearest tenth when needed.
A 6
B. 6.7
C. 16.2
D. 22.5

Answers

B is the right one, 6.7

The answer is definitely b

If you reflect the coordinates (1,4) across the x-axis what would be the new
coordinates? *

Answers

Answer:

(1, -4)

Step-by-step explanation:

Flipping it across the x axis would only change the y value since it would only affect the verticality.

The y value was originally positive so now it just simply becomes negative.

(1, 4) ->(1, -4)

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

40) Start at -2. Add 12. My answer is 10

Did I do that correctly is the answer correct

Answers

Yes that is correct

Kugvuykvyukykvuuyvkkyvu

Somebody plz help me ?

Answers

Answer:

Step-by-step explanation:

Please help me:(:(:(:(

Answers

Answer:

1. 30/14

2. -26.775

3. 0.1668

4. -44/7 which can be simplified into -6 and -2/7

5. $10.96

Identify the parent function.

Answers

Answer: D) Absolute Value

Step-by-step explanation:

From the graph, we can see that the function is the absolute value.

From the graph, we need to identify the type of parent function.

What is parent function?

In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.

From the graph, we can see that the function is the absolute value.

An axis of symmetry of the graph of a function is a vertical line that divides the graph into mirror images. An absolute value graph has one axis of symmetry that passes through the vertex. The absolute value function is defined by f (x) = |x|. This is the absolute value parent function.

Therefore, from the graph, we can see that the function is the absolute value

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What is the constant of proportionality of the number of calories to the number of minutes?. Single choice.

2 1/2

2 1/2

3/2

Answers

Answer:

the 3 one

Step-by-step explanation:

HELPPPP!!!!!
Which of the following describes a solution to the inequality 4x - 2y< 8?
(3, 0)
(4,4)
(-6, 4)
(8,6)
(-2,-4)

Answers

the awnser is (3,0)

Kelvin rolls a dice twice. The first number he gets is 4. The sum of the two numbers is smaller than 8. Which number CANNOT be the second number?

Answers

Answer:

5, 6

Step-by-step explanation:

When Kelvin rolls the dice twice, he can't get more than a 4 because if he did, the sum of the two numbers would be more than a 8. So, the numbers that cannot be the second number is 5 and 6.

please help omg i have a 15 percent in math for my overall grade and i also have bad grades in spanish and ELA but please please just help me if i could get someone’s snap or idk so i could send u photos of my work that would literally be great i also have to get my grade up BY THIS MONDAY HELP

Answers

Answer:If you’re doing edge I can give you tips.

Step-by-step explanation:

Answer:

what do u need help with

Step-by-step explanation:

calm down! its gonna be all good

what is the unit rate of y = -7x

Answers

Answer:

try math-way

Step-by-step explanation:

Solve for x I need help ASAP!

Answers

Let's solve your equation step-by-step.

2x+9=8x+21

Step 1: Subtract 8x from both sides.

2x+9−8x=8x+21−8x

−6x+9=21

Step 2: Subtract 9 from both sides.

−6x+9−9=21−9

−6x=12

Step 3: Divide both sides by -6.

-6x/-6=12/-6

x=-2

Answer:

-2 = x

Step-by-step explanation:

First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.

Hope this helps! Let me know!

help plz i need it very much

Answers

The only triangle with the base being bisected perpendicularly is an isosceles triangle or an equilateral triangle. Therefore, [tex]KJ = KL[/tex]

[tex]KJ = 4x + 9\\KL = 11x - 61\\[/tex]

Since the sides are equal, we can equate the expressions to get the equation:

[tex]4x + 9 = 11x - 61\\11x - 4x = 70\\x = 10[/tex]

[tex]x[/tex] is equal to [tex]10[/tex].

Plug that in [tex]11x - 61[/tex] and you get [tex]110 - 61[/tex] which is [tex]49[/tex]. So, Option B is correct :D

A balloon rises vertically from point p on level ground. From point a, on level ground 28ft from point p, the angle of elevation to the balloon is 79\deg . How high is the balloon?

Answers

Answer: Balloon is 27.5 ft high.

Step-by-step explanation:

As per the give , we made a diagram (in attachment).

To find the vertical distance from the growth we consider entire triangle as right triangle , where height is making right angle with ground.

in right triangle,

[tex]\sin \theta=\dfrac{Hypoteuse}{height}\\\\\Rightarrow\ \sin 79^{\circ}=\dfrac{28}{height}\\\\\Rightarrow\ 0.98162718344=\dfrac{28}{height}\\\\\Rightarrow\ height = 0.98162718344\times28\\\\\Rightarrow\ height = 0.98162718344\times28\approx27.5[/tex]

hence, balloon is 27.5 ft high.

Jennifer is a lifeguard at a swimming pool. She earns $132.54 for 18 hours of working. How much does Jennifer earns per hour.

please answer and explain :)

Answers

Answer:

7.36 an hour

Step-by-step explanation:

If she earns that much for 18 h, divide the amount she makes in 18 h by 18 parts because 18h/18 = 1 h. If done properly, you will get $7.36.

If l is parallel to m, solve for x and y.

Answers

Answer:

Step-by-step explanation:

3x + 49 = 7x - 23

4x = 72

x = 18

11y - 1 = 3(18)

11y = 55

y = 5

The value of x is 18 and y is 5.

What are the properties of parallel lines?

Following are the properties of parallel lines,

The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.

Given:

<1 = 7y -23

<2 = 11y -1

<3 = 3x

Using corresponding angle

7x - 23 = 3x + 49

4x = 72

x = 18

again, Using corresponding angle

3x = 11y - 1

3(18) = 11y - 1

11y = 55

y= 5

Hence, the value of x is 18 and y is 5.

Learn more about parallel lines here:

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Will give brainlist! I need help

Answers

Answer:

A=1/2bh

A=1/2(2)(4)

A=1/2(8)

A=4

Step-by-step explanation:

Area is 4units²

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Triangle GHJ with vertices G(-2,4), H(3,6), and J(3,-2) is dilated by a factor of centered at the origin. What are the coordinates of G' after the dilation? 63,4) (2,4) . 3) O 12 2 3 3 3 (3,-4)​

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Triangle GHJ with vertices G(-2,4), H(3,6), and J(3,-2) is dilated by a factor of centered at the origin. What are the coordinates of G' after the dilation? 63,4) (2,4) . 3) O 12 2 3 3 3 (3,-4)