Answer:
a
Step-by-step explanation:
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EVERY fraction has a denominator. It's the number on the bottom.
Answer:
(x +9.3)^2 +(y -4.1)^2 = 13
Step-by-step explanation:
The standard form equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Putting your numbers into this form gives ...
(x -(-9.3))^2 +(y -4.1)^2 = (√13)^2
(x +9.3)^2 +(y -4.1)^2 = 13
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
