Mathematics, 29.02.2020 22:50 emmabarnett817

Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B?

Answers: 3

Show answers

Answers

Answer from: poonwagon994

Two circles are similar because they have the same shape

Step-by-step explanation:

Circle A with center ( ( 0 , 4 ) ) and radius 6 has a Cartesian equation

( x − 0 ) 2^2 + ( y − 4 ) ^2 = 6^ 2

Circle B with center ( ( − 3 , 5 ) ) and radius 24 has a Cartesian equation

(x+3)^2 + (y-5)^2 = 24^2

In the Cartesian plane:

translation (shift) of ( a , b ) vector

Every coordinate x value has a added to it; and every coordinate y value has b added to it.

Applying a translation of

→ ( 0 , 4 ) to circle A gives the circle A' with the equation:

( ( x 0 ) − 0 ) ^2 + ( ( y + 4 ) − 4 )^ 2 = 6^ 2

→ x ^2 + y^ 2 = 6 ^2

Applying a translation of → ( 3 , − 5 ) to circle B gives a circle B' with the equation:

( ( x + 3 ) − 3 )^ 2 + ( ( y − 5 ) + 5 )^ 2 = 24 ^2

Applying a dilation of 4 to the equation of Circle A' gives the circle A'' with equation

x ^2 + y^ 2 = ( 6 × 4 ) ^2

→ x^ 2 + y ^2 = 24 ^2

Since the equations for A'' and B' are identical ,

⇒ Circle A and Circle B are similar.

Answer from: muffin261

Dilate the figure x4

Step-by-step explanation:

took the test

Answer from: Quest

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

In the figure below abd measures 37 degrees what is the measure of abc?

Answer from: Quest

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function $y=f(x)$ the average rate of change from point $a(a,f(a))$ to point $b(b,f(b))$ can be calculated as

$\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.$

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

$\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.$

The graph below shows the number of houses sold over x days. what is the average rate of change from

Another question on Mathematics

Mathematics, 21.06.2019 18:50

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

Answers: 1

Answer

Mathematics, 21.06.2019 19:50

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Answers: 3

Answer

Mathematics, 21.06.2019 22:00

Select the correct answer from each drop-down menu. consider the following polynomials equations. 3x^2(x-1) and -3x^3+ 4x^2-2x+1 perform each operation and determine if the result is a polynomial. is the result of a + b a polynomial? yes or no is the result of a - b a polynomial? yes or no is the result of a · b a polynomial? yes or no

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

This summer the number of tourists in salem increased 4.5% from last years total of 426000. how many more tourists came to salem this summer

Answers: 1

Answer

You know the right answer?

Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius o...

Questions