Answer:
10
Step-by-step explanation:
I first took away 60 from 195, as she already had 60 points. Than we were left with 135 points and since she gets 13.5 points every time she visits, I divided 135 by 13, which gives us 10.
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:
2
Step-by-step explanation:
Well you should count with fingers, one finger and one finger, two fingers
Answer: C, you are correct
Step-by-step explanation:
Answer:
Alfred ate 24 hot dogs.
Step-by-step explanation:
Let the number of hot dog ate by Olafs be represented by b.
Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;
b = 3a - 5
But Olafs eats 67 hot dogs, so that b = 67. Thus;
b = 3a - 5
67 = 3a - 5
67 + 5 = 3a
3a = 72
divide both sides by 3 to have;
a = 
a = 24
Alfred ate 24 hot dogs.