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
Yes.
To form a triangle every side must be smaller in length than the sum of the two other sides.
For example: sides denoted by a,b,c
for a triangle to form
a<b+c
b<a+c
c<a+b
Thus in the case of the <em>Isosceles </em>triangle with side lengths 1,8,8 the rules aforementioned are fulfilled. This means that a triangle with said side lengths can exist.
Answer:
it's D
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Start off by remembering PEMDAS which first P means parenthesis so use distributive property to multiply the 2n + 4 by the 3 in front of it and do the same to the n + 1 and multiply that by the 5 in front which turns your question into 6n+12-2=1+5n+5 so now i'd combine like terms on both sides which now gives you 6n + 10 = 5n +6 so now to get the n on one side i'm going to sub tact it from both sides doesnt matter which one you do but to make it easier i'd subtract the 5n from the 6n because the whole point is to solve for n and by doing that you'd already be getting it by itself. so now the question should look like n + 10 = 6 so subtract 10 from both sides to isolate the n and you get your answer n = -4
