A 18,000-gallon swimming pool contains 7000 gallons of water when a hose is placed into the pool and begins adding water at a ra
te of 1100 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed into the pool until it is full.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed into the pool until it is full.
2 answers:
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Answer:
(x - 6)(x - 6)
Step-by-step explanation:
The given quadratic equation is .
A quadratic equation can be factored in the form where
and
will form the roots of the equation.
Here the roots are: .
The factored form would simply be: .
Answer:
The equation of circle is +
= 18
Step-by-step explanation:
Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)
We know that the equation of circle is
+
=
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
To find (h,k): the center is midpoint of diameter
Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by
( ,
)
( ,
)
(1,2)
Hence (h,k) is (1,2)
Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get
+
=
= 18
Now substituting values of (h,k) and in equation of circle, we get
+
= 18
Hence the equation of circle is +
= 18
Answer:
Δ HGI ≅ ΔEDF
Step-by-step explanation:
Given:
Δ DEF ≅ Δ GHI
From the given congruence statement we can figure out the corresponding sides that are congruent.
The arrangement shows:
So the rearranged statement can be written as:
ΔEDF ≅ Δ HGI
or
∴ Δ HGI ≅ ΔEDF