The answer is a because you add the same variables and 5x stays the same
Answer: Your answer is -2 5/6
Step-by-step explanation:
Just convert the -2/3 to sixths. To do this, you multiply the denominator and numerator by 2 to make it equivalent to -2 1/6's denomenator (6). 2 times -2 is -4 and 3 times -2 is -6. This means -2/3 is equal to -4/6. As a result -2 1/6 - 4/6 is -2 5/6.
Answer: 
Step-by-step explanation:
If we have y=7x-1/2, the inverse is where we solve for x instead of y.
We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.
Therefore, .
Hope that helped,
-sirswagger21
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>
Subtract 7 from both sides
4x = -9 - 7
Simplify -9 - 7 to -16
4x = -16
Divide both sides by 4
x = -16/4
Simplify 16/4 to 4
<u>x = -4</u>
