Mathematics High School

30 points, real good help please.
- Create your own set of coordinates for and graph it on a coordinate plane.
- Write a scenario involving the dilation of ABC onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image.
- Use the distance formula or Pythagorean Theorem to prove mathematically that is similar to its image. Include all necessary calculations.

Answers

Answer 1

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC We want to dilate triangle ABC by scale factor of 2 at the center (0,2)The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6). Triangle ABC has a base of 4 units and a height of 6 units

Triangle A'B'C' has a base of 8 units and a height of 12 unitsApplying Pythagoras theorem to triangle ABC to find the hypotenuse

Now, we calculate the hypotenuse of the image

The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape

Related Questions

Andrew blew up 25 more balloons than the quotient of the number that Cameron blew up and 8.Cameron blew up b balloons.Write an expression for the number of balloons Andrew blew up.

Answers

I have no idea sorry

Can someone plz help real quick?

Answers

1 cm: 3 m. you just have to divide the 15 by the 5 :)

Answer:

1 Cm - 3 Meters

Step-by-step explanation:

Just do 15 (meters) divided by 5 centimeters. 15 divided by 5 is 3.

quadrilateral MNPQ is reflected across the c axis then translated 2 units down to form quadrilateral MNPQ. which statement is correct regarding the pre imagine and it's image.

is it still the same shape and size ?

Answers

Answer:

yes it is the same shape and size

Step-by-step explanation:

plz help me il giv a lot of points

Answers

Answer:

16x^12

Step-by-step explanation:

Answer:16X^12

I hope I can help you have a great day.

which number is a zero of f(x) = 2x (x + 7) ( x-4)​

Answers

Answer:

0, -7, 4

Step-by-step explanation:

Zeros of a function are values that make the function = 0

So, f(x) = 2x(x + 7)(x - 4) = 0

                x = 0 or x + 7= 0  or x - 4 = 0

                                   x = -7           x = 4

Note:  If you were to graph f(x), the graph would intercept the x-axis at 0, -7, and 4

Please help? If you want I can type the question in the comments too

Answers

Answer:

[tex]y = \frac{1}{2} x- 4[/tex]

Step-by-step explanation:

You can solve this by saying:

[tex]\Delta y = s \Delta x[/tex]

so in this case we have

[tex]y - (-2) = \frac{1}{2}(x- 4)\\[/tex]

Now we can simply solve for y:

[tex]y + 2 = \frac{1}{2} x- 2\\y = \frac{1}{2} x- 4[/tex]

what does c mean in Ax+By+C=0 in standard form

Answers

Answer:

This is an equation of a line in standard form. The "C" is the constant of the equation

Step-by-step explanation:

yoooooooooooooooooooooooooooooooo help

Answers

Answer:

8 but more than 6

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The triangle side rule is that the two smaller side have to be added together and be greater than the longest side

6+8=14

so any number that is 14 or more cannot be the other side

Therefore the third side must be less than 14 inches

~MisterMathWiz

4x^2+9x+10+3x^2+7x+2​

Answers

Answer:

7x2+16x+12

Step-by-step explanation:

=4x2+9x+10+3x2+7x+2

=(4x2+3x2)+(9x+7x)+(10+2)

=7x2+16x+12

Explain what the (0,0) represents in the table.

Answers

Answer:

0,0

Step-by-step explanation:

0,0 on a graph would represent the origin.

the origin ​​​​ㅤㅤㅤㅤㅤㅤ

(13 x 2) + (2 x 0.5)

Answers

Answer:

27

Step-by-step explanation:

(13x2)+(2x0.5)

(26)+(1)

27

Answer:

27

Step-by-step explanation:

Use PEMDAS:

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

please I need someone to help my assignment.​

Answers

all correct :-)))))


.
5²+ 12² = 13²

25 + 144 = 169

169 = 169

so this is correct

the second one :

7² + 24² = 25²

49 + 576 = 625

625 = 625

so its correct


last one

3² + 4² = 5²

9 + 16 = 25

25 = 25


so all the triangles are correct

Find the value of x. Round to the
nearest tenth.
26
12
Х
x = [ ?

Answers

Answer:

x = 10.8

Step-by-step explanation:

cos 26° = x/12

0.8988 = x/12

x = 10.785

solve and get brainliest!!
please be sure of your answer!!!!​

Answers

Answer:

a acute,equilateral

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

Answer:

a. acute, equilateral

Step-by-step explanation:

acute means it's under 90° in angle

that angle is not over 90° degrees or is a right angle

so it's acute

and the lines tell you that all the sides are congruent which means it's equilateral

hope this helps dude

I don’t understand can someone please help.

Answers

Answer:

3.6

Step-by-step explanation:


A diver at sea level needs to dive to a depth of -2,200 feet in 10 minutes. Which integer best represents the diver's
rate?

Answers

Answer:

-0.22 m. s^1................

Someone help please

Answers

Step-by-step explanation:

T

[tex]t = \frac{pv}{nr} [/tex]

Question 8 A water tank initially contained 51 liters of water. It is then drained at a constant rate of 2.5 liters per minute. How many minutes have passed, m, when the tank contains 42 liters? Round to the nearest tenth.​

Answers

Do 51 and 2.5 then when you get that add 42 to your answer

Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)

Answers

Maybe c because 7x4 28

In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°.

What is the measure of angle BCA in degrees?


A 125.5°

B 54.5°

C 55.5°

D 64.5°

Answers

Answer: B

Because triangles add up to 180 degrees, all you need to do is subtract 45.5 and 80 from 180, which gives you 54.5 degrees.

Hope this helped you!

3x+4=25 please this will help alot​

Answers

Answer:

x = 7

Step-by-step explanation:

3x + 4 = 25

     -4      -4

3x = 21

divide by 3

x = 7

Plz mark as brainliest if it helps! Have a good day!!!

-Lil G

[tex] \pink{\boxed{\rm Answer + Explain}} [/tex]

[tex] \rm 3x + 4 = 25[/tex]

[tex] \rm 3x = 25 - 4[/tex]

[tex] \rm 3x = 21[/tex]

[tex] \rm x = \frac{21}{3} [/tex]

[tex] \blue{\boxed{ \rm x = 7}}[/tex]

Can the sides of a triangle have lengths of 19,24 and 43? If so, what kind of triangle is it?

Answers

Answer:

Yes Isosceles Triangle

Step-by-step explanation:

Im not a 100% sure but they all add up to 84 so good luck


Directions: Tell whether each set of ordered pairs satisfies an exponential function. Write yes
or no.
{(-1-1),(0,0),(1,-1).12.-4)}
. 4
{(0,1),(1,4),(216),(3,64)}
{(-11.5),(0,3).(16) (2.12)}
()/(
{(-1-9).(1,9),(3,27).(5,45)}

Answers

Answer:

1_9

Step-by-step explanation:

Directions: Underline the prepositional phrase in each sentence. Highlight the preposition. (There may be more than one.)

Please HELPPPPPPPP jkskjqinunuanuanunwuniam

Answers

Answer:

kakss ke sjene oeejrneme kenej ok?

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{99 \times 99} [/tex]
​

Answers

Answer:

√{99×99}=√99²=±99 is the value of given expression

Step-by-step explanation:

since √x²=±x

Answer:

[tex]±99.[/tex]

Step-by-step explanation:

[tex] = \sqrt{99 \times 99 } [/tex]

[tex] = \sqrt{9801} [/tex]

[tex] = ±99.[/tex]

the top of a table has a length of 7 feet and a width of 5 feet. what is the area of the table top

Answers

Answer: 35ft

Step-by-step explanation:

The area for a rectangle or square is Width times Length (W*L)

So we can take our given measurements and multiply them

[tex]5*7=35[/tex]

There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red marble, you win. If you draw a blue marble she wins. Is this a fair game?

Answers

No, because you have 1 more marble than her. While you have 6 marbles in the bag, she has 4; there’s a 3/5 chance that you’ll win, and a 2/5 chance that she’ll win.

one cookie at the bakery cost $0.65 two cookies cost $1.20 and three cookies cost $1.75 how much will half a dozen cookies cost

Answers

Answer:

half a dozen cookies would cost  $3.90

Step-by-step explanation:

( I WILL GIVE YOU BRAINLY IF YOU GET IT Right!!!!!)Kim earns 3 points for every correct answer on a test. The
equation y = 3x shows her total points, which depends
on the number of correct answers.
Select the graph with the correctly labeled axes for this situation.

Answers

Answer:B

Step-by-step explanation:

A rectangle has a length of 4 meters. The width is 2 meters more than the length. Work out the area.

Answers

Answer:

24 m^2

Step-by-step explanation:

Given data

Length= 4 meters

Width= 2+4= 6 meters

We know that the expression for the area of a rectangle is given as

A= Lenght* Width

A= 4*6

A= 24m^2

Hence the area is 24 m^2

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