here's the answer for you
What’s the answer???
1 answer:
You might be interested in
Answer: Choice B
=========================================================
Explanation:
When dilating with respect to the origin, any point of the form (x,y) moves to (kx, ky) for some real number k. The k is the scale factor.
Point C is at (-2,2). It moves to C ' (-5,5)
The jump from x = -2 to x = -5 is "times 5/2" since kx = (5/2)*(-2) = -5
The same scale factor is used when going from y = 2 to y = 5.
Both x and y coordinates are multiplied by 5/2 to move from (-2,2) to (-5,5)
Therefore, the dilation rule we use is
-----------
We could have these steps to confirm
Let x = the shorter leg
2x + 6 is the longer leg
2x + 9 is the hypotenuse
We now do the Pythagorean Theorem of
Multiply out to get:
The
will cancel out each other when you combine like terms to get all the terms on one side of the equal sign.
Combine like terms with the rest to end with
Factor this to get
then set each factor equal to zero.
You end up with two solutions, x = 15 and x = - 3 HOWEVER distance cannot be measure in negatives so that answer will not work so x = 15. Now plug into our given information.
The short leg is 15 cm long.
The longer leg of 2(15) + 6 = 36 cm long
The hypotenuse of 2(15) + 9 = 39 cm long.
You can check your answers by plugging them into the Pythagorean Theorem again.
2x + 6 is the longer leg
2x + 9 is the hypotenuse
We now do the Pythagorean Theorem of
Multiply out to get:
The
Combine like terms with the rest to end with
Factor this to get
You end up with two solutions, x = 15 and x = - 3 HOWEVER distance cannot be measure in negatives so that answer will not work so x = 15. Now plug into our given information.
The short leg is 15 cm long.
The longer leg of 2(15) + 6 = 36 cm long
The hypotenuse of 2(15) + 9 = 39 cm long.
You can check your answers by plugging them into the Pythagorean Theorem again.