We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
Answer:
a= 3
b.= 3
Step-by-step explanation:
F(x) = ab×
using the 2 given points to find a and b
(0,3)
3=ab⁰
a = 3
(2,27)
27 = 3b² = 9= b²
b = 3
f(x) = 3(3×)
please mark me as brainliest
Answer:
4 cards
Step-by-step explanation:
Susan has 40 minutes left to make cards. It takes her about 10 minutes to make each card. Since four 10's can go into 40, Susan can make 4 cards in that time period.
Answer:
Move all terms that don't contain
m
to the right side and solve.
Exact Form:
m
=
41
7
Decimal Form:
m
=
5.
¯¯¯¯¯¯¯¯¯¯¯¯
857142
Mixed Number Form:
m
=
5
6
7
Tap to view steps...
So, first you do 4x+54 is greater than or equal to 70 first you subtract 54 from both sides and get -16 and then you divide by 4 by both sides and get x=-4 I hope this helps :).
