Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer: 5.37 as a mixed number is 5 37/100
To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100
20 times 5 is 100. We can multiply 2*5 and get 10, then add another zero to make it easier.
Answer:
f = 6
Step-by-step explanation:
<u>Plug in what you know then solve:</u>
f = d + 1
f = 5 + 1
f = 6
Answer:
1 in. : 100 mi
Step-by-step explanation:
Scale = 1 inch : 10 miles
In the scale, the quantity is Length
The relationship between length and Area is;
Area = Length * Length
So inch becomes inch^2
1 inch * 1 inch = 1 i
10 miles * 10 miles = 100
The correct option is;
1 in. : 100 mi