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 and Step-by-step explanation:
Yes, the three side lengths could form a triangle.
To find out if the sides can form a triangle, you take the lowest side lengths and add them together. If they are <u>greater </u>than the longest side, then they can form a triangle. <u>If it is equal or less than the longest side,</u> then it CAN NOT form a triangle.
7.8 + 10.4 > 13
18.2 > 13
<u>So, the answer is Yes.</u>
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Answer:
<h2><em><u>The</u></em><em><u> </u></em><em><u>sun</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>e</u></em><em><u>arth's</u></em><em><u> </u></em><em><u>interior</u></em><em><u> </u></em></h2>
Step-by-step explanation:
As,
The Earth has two basic sources of energy -
- <em><u>Earth's</u></em><em><u> </u></em><em><u>I</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>i</u></em><em><u>o</u></em><em><u>r</u></em><em><u>-</u></em><em><u> </u></em>hat reaching the Earth from the Sun (Solar Energy) and that reaching the surface of the Earth the Earth itself <em><u>(Internal or Geothermal Energy). </u></em>
- <em><u>Solar Energy</u></em> - reaches the Earth in the form of radiant energy, and makes up 99.987% of the energy received by the Earth.
Answer:
We have:
x < 4 AND x > a.
if a = 4 and we use an "or" instead of the "and" we have:
x < 4 or x > 4.
This is:
"x is larger than 4 or smaller than 4."
Then the solution of this is all the real numbers except the value x = 4.
The set of solutions can be written as:
{xI x ∈ R \ [4]}
Where this reads:
"x belongs to the set of the reals minus the number 4".
Or we also could write it as:
x ∈ (-∞, 4) ∪ (4, ∞)
Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.