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
Answer:
18=2x
x=9
Step-by-step explanation:
hope it helps bro
Answer:
43.5 meters
Step-by-step explanation:
Area of regular hexagon =
in the problem you have a = 10 meters
and p = apothem = 8.7 meters
so if you apply the formula
you will have
area =( 1/2) × 10 × 8.7
area = 43.5 meters
Answer:
2. sin=12\15 cos=9/15 tg=12/9
3. sin=3/v13 cos=2/v13 tg=3/2
4. sin=v15/4 cos=7/4 tg=v15/7
7 - 4x = 7y
1 - 4/7x = y....y = -4/7x + 1...slope here is -4/7.
A parallel line will have the same slope
y = mx + b
slope(m) = -4/7
(2,0)...x = 2 and y = 0
now sub and find b, the y int
0 = -4/7(2) + b
0 = -8/7 + b
8/7 = b
so ur parallel equation is : y = -4/7x + 8/7 <=
