Three circles can intersect in?
1 answer:
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Answer:
(a) two points
Step-by-step explanation:
The curve of a circle can only intersect another circle at a point or in an arc. The intersection will only be an arc if the circles have the same center and radius (are the same circle).
Different circles can only intersect each other at one or two points. Three different circles can intersect in one or two points. The 2-point case is shown in the attachment.
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Answer:
C
Step-by-step explanation:
The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.
Given y = f(x) then f(x + a) is a horizontal translation of a units
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here shift to the right of 1 unit, thus
y = f(x - 1)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinates are the negative of each other, thus
- y = f(x)
Now = - y, hence
The equation for the red graph is
= f(x - 1) → C
Let's assume
height of plane in feet =h
time in minutes =t
we are given
A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet
so, we get one point as (5,6500)
After 7 minutes it is at a height of 5900 feet
so, we get another point as (7,5900)
we can use point slope form of line
points as
(5,6500)
x1=5, y1=6500
(7,5900)
x2=7 , y2=5900
Calculation of slope(m):
now, we can plug values
Equation of line:
we can use formula
we can plug values
Time of landing:
we can set h=0
and then we can solve for t
..............Answer