Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2
Substitute for y in the equation of the circle:-
x^2 + (2.5x + 2 - 2)^2 = 36
x^2 + 6.25x^2 = 36
x^2 = 36 / 7.25
x = +/- 6 / 2.693 = +/- 2.228
when x = 2.228 y = 2.5(2.228) + 2 = 7.57 to nearest hundredth
when x = -2.228 y = 2.5(-2.228) + 2 = -3.57
So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57) to nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
A
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 12 , then radius = 12 ÷ 2 = 6 , then
A = π × 6² = 3.14 × 36 = 113.04 m²
B
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 28.26 , then
2πr = 28.26 ( divide both sides by 2π )
r = 
= 
= 4.5 in
B. 40, 120, 360, 1080
C. 200,20,2,0.2,0.002
The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
If there are ten black pens, eight blue pens, and twenty pens in total, then there are 2 red pens. This means that the ratio of red to black is 2:10=1:5. Hope this helps!
