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:
<h2>3 g/cm³</h2>
Step-by-step explanation:
The density of a substance can be found by using the formula
From the question we have
We have the final answer as
<h3>3 g/cm³</h3>
Hope this helps you
Answer:
First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"
Answer:
I agree with Elena
Step-by-step explanation:
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, v.
Elena writes a = 6 times v
Andre writes v =1/6 times a.
Mathematically
The number of ants a is directly proportional to the number of legs
=a ∝ v
Because if
1 ant = 6 legs
2 ants = x legs
x = 6 legs × 2
x = 12 legs
The number of ants is directly proportional to the number of legs
Therefore, Elena is correct and Andre is wrong.
The average rate of change is 1
2-1=1
3-2=1
4-3=1
