Answer:
Step-by-step explanation:
The standard equation for circle is
where point (a,b) is coordinate of center of circle and r is the radius.
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Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is
Answer:
The distance between those points is 13.
Step-by-step explanation:
1. (x2-x1) = (-2 - -7) = 5
2. (y2-y1) = (-7 - 5) = -12
3. (5)2 + (-12)2 = 25 + 144 = 169
4. √169 = 13
5. 13
arc length = pi /180 * angle in degree * radius
2 = pi/180 * 30 *r
2 = pi/6 *r
multiply by 6/pi
12/pi =r
3.819718634 =r
Answer: r =3.82 inches
Answer:
No, he does not have enough rope. 0.26 ft short.
Step-by-step explanation:
3 x 10.42 = 31.26
31.26 - 31 = 0.26
ANSWER: $432
STEP-BY-STEP EXPLANATION:
The cost of the tablet is $360
Then Tabitha has to pay 20% sales tax.
The tax is the prices times 20% plus the original price
360 ( 1+ 0.2)
360 (1.2)
=432