Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Hey there!
“What is -12.41 as a simplest form fraction?”
• 12.41 / 1 which equals 12.41
• You have to MULTIPLY to REMOVE your TWO decimal area. You have to MULTIPLY the NUMERATOR and the DENOMINATOR BY 100
• 12.41/1 × 100/100
• CROSS MULTIPLY
12.41 × 100/1 × 100
12.41 × 100 = 1,241 ⬅️ Numerator
1 × 100 = 100 ⬅️ Denominator
= 1,241/100
• SIMPLIFY your IMPROPER FRACTION and you have your ANSWER
1,241/100 = 12 41/100
POSSIBLE ANSWER: –12 41/100 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
Step-by-step explanation:
Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?
1 foot =
1
3
yard please help :(