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boyakko [2]
3 years ago
12

If a translation take triangle CAT to C’A’T’, what is A’T’?

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

Option (1)

Step-by-step explanation:

If a translation takes the triangle CAT to triangle C'A'T', transformation will be the rigid transformation or Isometry.

By the definition of rigid transformation, shape and size of the image and preimage remains the same.

Therefore, length of the sides of ΔC'A'T' will remain same as ΔCAT after the translation.

Option (1) √10 will be the answer.

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The lowest temperature on a winter morning was –8°F. Later that same day the temperature reached a high of 24°F. By how many deg
Anna11 [10]
E. 32 degrees because 24-(-8)=32
3 0
3 years ago
Write the equation of a line that passes through the points (-3, 7) and (3, 3).
egoroff_w [7]

Answer:

y = -2/3x + 5

Step-by-step explanation:

(-3, 7) and (3, 3)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(3 - 7) / (3 -(-3))

Simplify the parentheses.

= (3 - 7) / (3 + 3)

Simplify the fraction.

= (-4) / (6)

= -4/6

= -2/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.

3 = -2/3(3) + b

To find b, multiply the slope and the input of x(3)

3 = -2 + b

Now, add 2 to both sides to isolate b.

5 = b

Plug this into your standard equation.

y = -2/3x + 5

This is your equation.

Check this by plugging in the other point you have not checked yet (-3, 7).

y = -2/3x + 5

7= -2/3(-3) + 5

7 = 2 + 5

7 = 7

Your equation is correct.

Hope this helps!

6 0
3 years ago
A liter is equal to 100 centiliters. Is a centiliter a
Serhud [2]
Yes, 10 mL = 1 cL. Hope this helped.
5 0
3 years ago
morty needs $480 to buy a Tv and stereo system for his room. he received $60 in cash for birthday presents. He plans to save $ 3
IgorLugansk [536]

Hey! So this is pretty straightforward. You're given all the information already and now you just have to do some calculations.

60 + 30w = 480

You can start by subtracting 60 from both sides

30w = 420

Now you need to get w by itself so you have to divide both sides by 30 and you will end up getting

w = 14!

It will take him 14 weeks to save up

6 0
3 years ago
Read 2 more answers
Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 −
Lelu [443]

Answer:

f\left(2,3,1\right)=\bold{14}

Step-by-step explanation:

Given the function:

f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}

To find:

The value of f(2, 3, 1) = ?

Solution:

f(2, 3, 1) means the values of x, y\ and\ z as:

x=2\\y=3\\z=1

Let us put the given values in the given function and let us solve for it:

\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}

Therefore, the answer is:

f\left(2,3,1\right)=\bold{14}

8 0
3 years ago
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