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: 1 1/18
Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as 5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max (5/5 x 1/2 = 5/10= 1/2)
- First, you need to find a like denominator, which is 18
- Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3 ( 3/3 is just a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply 2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
- Next you add them but only the numerator 15/18 + 4/18 = 19/18
- Finally, you change the the fraction into a mixed number 1 and 1/18
The length of the longest side is 17 inches.
Answer:
60.35
Step-by-step explanation:
15% as a decimal is 0.15 so, 60.5 - 0.15 = 60.35
The admission fee at a fair is $2.00 for children and $4.00
for adults.
On Saturday 2,500 people entered the fair and $7,000.00 were
collected.
How many children and how many adults attended? Give your
answer, using x for children, y for adults.
Form of: x =, and y =
Let K = no. of children
Let A = no. of adults
2500 people mean
Kids + Adults
K + A = 2500
K = 2500 – A
2K + 4A = 7000
K + 2A = 3500
(2500 – A) + 2A = 3500
A = 3500 – 2500
(A = 1000, adults)
K = 2500 – A
K = 2500 -1000
(K = 1500, Kids)
CHECK:
1500*2 = $3000
1000*4 = $4000
<span>(Total = $7000, people.). </span>
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<span>Hope this helps:</span>
