a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length
2 answers:
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Answer:
Step-by-step explanation:
We can do this a couple of ways. We can graph it -- see below. Or we can do the math.
Math
y = x^2 - 2x - 15
This trinomial factors into
y = (x - 5)(x + 3)
from which
x - 5= 0
x = 5
and
x + 3 = 0
x = - 3
The y intercept is the value obtained when all the xs on the right = 0
y = 0^2 - 2*0 - 15
y = - 15
<em>Answer</em>
- x intercepts: (-3,0),(5,0)
- y intercept: (0,-15)
The graph is below.
Answer:
Nearly 83 students did not had activity card.
Nearly 42 students had an activity card.
Step-by-step explanation:
Total number of tickets sold at homecoming = 125
Cost of each ticket without activity card = $20.5
Cost of each ticket with activity card = $15.75
Total amount earned = $2365
Let, the number of tickets sold without activity car d = k
So, the number of tickets sold without card = (Total sold - k)
= 125 - k
Now, according to the question:
$20.5(k) + $15.75(125 - k) = $2365
or, 20.5 k + 1968.5 - 15.75 k = 2365
⇒ 4.75 k = 2365 - 1968.5 = 396.5
⇒
Hence, nearly 83 students did not had activity card.
So,the number of students that had activity card = 125 - 83.47 = 41.53 ~ 42
Hence, nearly 42 students had an activity card.
