We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:
If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
Assuming Steven is paying, 51+45+2=98 cents.
Answer: The answer is increase in the interest rate.
Step-by-step explanation: We are given to explain the effect on the interest rate that bank will charge its customer for a loan if the bank buys a treasury bond from the federal reserve.
Since the bank is buying a treasury bond from the federal reserve, so it is obvious that the bank has very less amount of funds. Because of that it has to buy from the federal reserve. Therefore, to increase the funds, the bank will definitely charge more interest from its customers.
Thus, the bank will increase interest rate that it will charge its customers for a loan because of the fewer funds available.
Answer:
1. x= 0.0000 - 2.0851
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "51.52" was replaced by "(5152/100)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
36+(5152/100)*x*x+4+68+82+96-(62)=0
Step by step solution :
Step 1 :
1288
Simplify ————
25
Equation at the end of step 1 :
1288
(((((36+((————•x)•x))+4)+68)+82)+96)-62 = 0
25
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 25 as the denominator :
36 36 • 25
36 = —— = ———————
1 25
