If the center is in point P(a,b) and has a radius r then circle equation is:
(x-a)²+(y-b)²=r².
In your task we've got P(0,0) so the circle equation is x²+y²=r².
We have to find r. Radius start at (0,0) and end at (-4,-6) therefore
r=√((-4)²+(-6)²) and
r²=(-4)²+(-6)²=16+36=52.
So answer is x²+y²=52.
Answer:
<em>4x+7y≤250</em>
Step-by-step explanation:
<u>Inequalities</u>
Let's call:
x = number of small rides
y = number of big rides
Since each small ride costs 4 tickets, x rides cost 4x tickets.
Since each big ride costs 7 tickets, y rides cost 7y tickets.
The total number of tickets is the sum of both:
Total tickets = 4x+7y
The friends have 250 tickets, so the total tickets of the rides cannot be greater than the 250 tickets available, thus:
4x+7y≤250
Answer:
Sin(theta) = 3/5
Step-by-step explanation:
Remark
The Sin(theta) = opposite / hypotenuse
The opposite side is not defining the angle. The hypotenuse is the longest side of a right triangle.
In this case the opposite is 3
The hypotenuse = 5
Answer: Sin(theta) = 3/5
Answer:
Step-by-step explanation:
Answer:
y= 3x +11
Step-by-step explanation:
<u>slope-intercept form:</u>
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= 11 <em>(</em><em>s</em><em>implify</em><em>)</em>
Thus, the equation of the line is y= 3x +11.
