If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:
(x,y)=((6+2)/2, (3+1)/2)=(4,2)
Now we need to find the radius....the diameter is:
d^2=(6-2)^2+(3-1)^2
d^2=16+4
d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so
r^2=5
The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:
(h,k)=(4,2) from earlier so:
(x-4)^2+(y-2)^2=5
Answer:
The formula is 10 - 3n
Step-by-step explanation:
For an nth term in an arithmetic sequence
U( n ) = a + ( n - 1)d
Where n is the number of terms
a is the first term
d is the common difference
From the sequence above
a = 7
d = 4 - 7 = - 3
The formula for an nth term is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
The final answer is
= 10 - 3n
Hope this helps you.
One can know if an equation is extraneous if after plugging it in the original equation, it shows a false meaning or the value is undefined.
<h3>What is an extraneous equation?</h3>
It should be noted that an extraneous equation means a root of a transformed equation that isn't the root of the original equation due to the fact that it's excluded from the domain of the original equation.
In this case, one can know if an equation is extraneous if after plugging it in the original equation, it shows a false meaning or the value is undefined.
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The point that Sam's house is located is at (2.5, -2)
<h3 /><h3>Midpoint of coordinate points</h3>
The formula for calculating the midpoint of coordinate is expressed as:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate between their locations at (-4, 4) and (-9, 8)
Determine the midpoint
x = (-4+9)/2
x =5/2 = 2.5
Similarly
y = 4-8/2
y = -4/2
y = -2
Hence the point that Sam's house is located is at (2.5, -2)
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Answer:
15 children can divide them with eachother, each get 2 sweaters and 3 trousers
Step-by-step explanation:
15×2=30
15×3=45
