Answer:
15/16
Step-by-step explanation:
Using the order of operations, we need to multiply in the parentheses first...
3/5*25/24=75/120, which simplifies to 5/8.
Next, we need to divide 5/8 by 2/3. To divide, we can actually multiply by the reciprocal, which is flipping the fraction that you are dividing by. In this case, we need to multiply 5/8 by the reciprocal of 2/3. The reciprocal of 2/3 is 3/2, so we need to multiply 5/8 by 3/2.
5/8*3/2=15/16
This is the final answer!
I hope this helped you out!! Have an amazing day φ(゜▽゜*)♪
Answer:
1.one solution is the answer
Step-by-step explanation:
We need a better picture, we can't even tell which is #7
The common way of transforming the general form to the standard form is by using the completing the square method. But there is also a neat shortcut to knowing the h, k and r values right away.
The general formula is:
x²+y²+Dx+Ey+F = 0
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Solving for h:
-2h = 42
h = -21
Solving for k:
-2k = 38
k = -19
Solving for r:
-47 = (-21)² + (-19)² - r²
r = √849
Standard form of given circle is:
(x+21)² + (y+19)² = 849
Answers:
1) B
2) B
3) B
4) D
