Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
One equivalent fraction for 4/21 could be 8/42.
The mass of each candy is 80 grams
To Find the least common denominator you have to find the multiples of each number
multiple means the product of each factor
so the multiples of 4 would be 4 8 12 16 20
you want to name at least five multiples but if there are not the same multiples you might have to list more
the multiples of 5 would be 5 10 15 20
then I can stop there because I have found two of the same multiples
so now we have our least common denominator which is 20
HOPE THIS HELPS!!!
Parallel means they have the same slope.
The given equation has a slope of 3. Slope intercept equation: y = mx + b
a. 6x + 2y = 12
Subtract 6x from both sides.
2y = - 6x + 12
Divide both sides by 2.
y = -3x + 6 Not parallel
b. -3x + y = 8
Add 3x to both sides.
y = 3x + 8 Parallel
c. 3y = 9x
Divide both sides by 3
y = 3x Parallel
d. y = -1/3x Not parallel
B and C are parallel
