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
By substitution.
Get y or x alone then insert it into the other equation solving for one of the two variables. After that substitute ur answer into one of the equations then solve.
8:20 is the same as 2:5.
<h3>What is unitary method?</h3>
- The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
- Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
- Recognizing the units and values is crucial when using the unitary technique to a problem.
- Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
acc to our question-
- = 12 + S
- S= (2/5)A
- S= (2/5)(12+S)
- 5S = 24 + 2S
- 3S = 24
- S = 24/3 = 8 = what Sam received
- A= 8+12 = 20 = what Audreyreceived
- 8:20 is the same as 2:5
- divide both 8 and 20 by 4 to get the 2 to 5 ratio.
hence,8:20 is the same as 2:5.
learn more about unitary method click here:
brainly.com/question/24587372
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Answer: The area of square A is 28 square units because the area is decreasing by 36 and the angles on each side is decreasing by 9
Step-by-step explanation:
100 divide by 4 sides = 25
64 divide by 4 sides = 16
28 divide by 4 sides = 7
1. A geometric sequence has a common ratio. You can find the ratio by dividing every number by its previous one. If it is consistent, then the series is geometric.
a: 8/1=8, 27/8=3.375
b: (-3/2)/3=-1/2, (3/4)/(-3/2)=-1/2
c. 7/4=1.75, 10/7=1.429
d. 20/25=0.8, 14/20=0.7
Choice b is the only one that has a common ratio, so it is a geometric series.
2. Every term is multiplied by 1/3, so the common ratio is 1/3. d is the answer.
