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

Answer:
21.5 or 26.8
Step-by-step explanation:
a car with a 18 gallon gas tank can average 21.5 miles per gallon when driven in the stop and go traffic of the city and 26.8 miles per gallon when driven on the highway
Answer:
q= -4
Step-by-step explanation:

Collect like terms and simplify

Divide both sides of the equation by 2

Simplify

Answer:
This is an arithmetic sequence with a common difference <em>d</em> of -9
Step-by-step explanation:
When you find out <em>d</em>, you realize the difference between the numbers to be -9. Since it is <em>d</em> and not common ratio <em>r</em>, it is an arithmetic sequence.
Answer:
The correct answer is option 1
23.96°
Step-by-step explanation:
Tan ∅ = Opposite side/Adjacent side
From the given figure we can see that it is a right angled triangle.
<u>To find the value of x
</u>
Tan ∅ = Opposite side/Adjacent side
Opposite side = 4
Adjacent side = 9
Tan x = 4/9 = 0.4444
x = tan⁻¹ (0.4444) = 23.9624 ≈ 23.96°
Therefore the correct answer is first option.
23.96°