Answer:
Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by
then with h = -3, k = -11 and r= 11, the equation of our circle is
<u><em>Answer:</em></u>
<u><em>Option A</em></u>
<u><em>Step-by-step explanation:</em></u>
<u><em>-(12 x 2) x (-6) = -12 x (2 x b)</em></u>
<u><em>=> -24 x -6 = -12 x 2b</em></u>
<u><em>=> 144 = -24b</em></u>
<u><em>=> b = -6</em></u>
<u><em>Hoped this helped.</em></u>
Total angle sum will always equal 360 degrees. Due to vertical angles theorem, we know the angles opposite the polynomials also equal the polynomials. So, we can double both of them (like solving for perimeter) and sum them to 360.
Thus, 360 = 2(2x + 10) + 2(x+ 5)
360 = 2(2x + 10 + x + 5)
360 = 2(3x + 15)
180 = 3x + 15
165 = 3x
x = 55
Answer:
x=16; y=24
Step-by-step explanation:
for (x,23), 23=0.5x+15
x=16
for (18xy), y=0.5*18+15=24