Coach Beard has 24 softballs to use this fall. She orders 2 more buckets of softballs that have 20 in each bucket. How many soft
2 answers:
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Answer:
The y-intercept of AB is y=4/3, the x-coordinate of the poit C is 4, the equation of the line that goes through BC is
Step-by-step explanation:
To find the y-intercept of AB we first have to find the equation of the line that goes through this segment.
We firt compute the slope of the segement which is given by
Using this we can compute the equation of the line through AB using the point B=(2,1) and the formula
we solve the last equation for and so we get
The y-intercept of AB is the point in the line with x-coordinate equals to 0. Hence, the y-intercept is
Now, since the segments AB and BC are perpendicular, the slope of the line that goes through the segment BC is
Usinge the slope and knowing that the line goes through the point B=(2,1), to find the equation of the line through the segmen AC we use the following formula
we solve the equation for y and we get the equation
Finally, to compute the x-coordinate of the point C we use the last equation and the fact that the y-coordinate is 13, it holds that
We know that
<span>the standard form equation of the circle is
(x-h)</span>²+(y-k)²=r²
where
(h,k)------> is the center
and
r----> is the radius
let
A------> the point <span>(−8, 0)
</span>B-------> the point <span>(−12, 2)
</span>
step 1
find the distance point A and point B
d=√[(2-0)²+(-12+8)²]------> d=√20-----> d=2√5 units
the distance AB is equals to the diameter
and
the radius r=2√5/2-----> r=√5 units
step 2 find the midpoint AB
midpoint ABx=(-8-12)/2-----> -10
midpoint ABy=(2+0)/2-----> 1
the midpoint is (-10,1)
the center is equal to the midpoint
so
(h,k)------> (-10,1)
step 3
find the equation of a circle
(x-h)²+(y-k)²=r²------> (x+10)²+(y-1)²=(√5)²
(x+10)²+(y-1)²=5
the answer is
(x+10)²+(y-1)²=5
see the attached figure
<span>the standard form equation of the circle is
(x-h)</span>²+(y-k)²=r²
where
(h,k)------> is the center
and
r----> is the radius
let
A------> the point <span>(−8, 0)
</span>B-------> the point <span>(−12, 2)
</span>
step 1
find the distance point A and point B
d=√[(2-0)²+(-12+8)²]------> d=√20-----> d=2√5 units
the distance AB is equals to the diameter
and
the radius r=2√5/2-----> r=√5 units
step 2 find the midpoint AB
midpoint ABx=(-8-12)/2-----> -10
midpoint ABy=(2+0)/2-----> 1
the midpoint is (-10,1)
the center is equal to the midpoint
so
(h,k)------> (-10,1)
step 3
find the equation of a circle
(x-h)²+(y-k)²=r²------> (x+10)²+(y-1)²=(√5)²
(x+10)²+(y-1)²=5
the answer is
(x+10)²+(y-1)²=5
see the attached figure
Answer:
261.67
Step-by-step explanation:
The formula is 1/3