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
$30/ 3 sweatshirts = $10 /shirt
$ 10/shirt * 4 shirts = $40
It would cost $40
Hello,
The equation is y-2=4/5(x-8)==>y=4/5x-22/5 or 4x-5y=22
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You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by
<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:
<h3>Using the above properties</h3>
Thus,
The approximate value for given term is given by
Learn more about logarithm here:
brainly.com/question/20835449
Answer:
y+20 = 9(x+2)
Step-by-step explanation:
The slope that passes through the points is
m = (y2-y1)/(x2-x1)
= (79- -20)/ (9--2)
= (79+20)/(9+2)
= 99/11
= 9
We can use point slope form to write an equation. It says to use the first point.
y-y1 = m(x-x1)
y--20 = 9(x--2)
y+20 = 9(x+2)
