The standard equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where the center is at point (h,k)
From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be
r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241
Thus, the equation of the circle is
Answer:
<em>AB = 5√2</em>
<em>AC = √145</em>
<em>BC = √65</em>
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
For AB A(-3,6),B(2,1),
AB = √(2+3)²+(1-6)²
AB = √(5)²+(-5)²
AB = √25+25
AB = √50
<em>AB = 5√2</em>
For AC A(-3,6) and C(9,5)
AC = √(9+3)²+(5-6)²
AC = √(12)²+(-1)²
AC = √144+1
<em>AC = √145</em>
For BC B(2,1), and C(9,5)
BC = √(9-2)²+(5-1)²
BC = √(7)²+(4)²
BC = √49+16
<em>BC = √65</em>
<em></em>
<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>
Answer:
28 Kg : 8 Kg
Step-by-step explanation:
Sum the parts of the ratio, 7 + 2 = 9 parts
Divide 36 Kg by 9 to find the value of one part of the ratio.
36 Kg ÷ 9 = 4 Kg ← value of 1 part of the ratio, thus
7 parts = 7 × 4 Kg = 28 Kg
2 parts = 2 × 4Kg = 8 Kg
36 Kg in the ratio 7 : 2 = 28 Kg : 8 Kg
4m + 90 = ≥ 350
350 - 90 = 260 ÷ 4 = 65
It will take at least 65 minutes for Jeremiah to complete the task.
Replace the variable with 65 to double check.
4 (65) + 90 = 350