First, we can simplify the left side. (6+8x)/2 is equal to 3 + 4x. We can put the equation together at this point.
3 + 4x = 5x
we can subtract 4x from both sides to get our final answer,
3 = x, or x = 3. :)
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
Answer:
5x - 4
Step-by-step explanation:
4x - 2 + x - 2
simplify
5x - 4
hope this helps <3
Answer:
b. what percentage of the gas stations in Russia charge less than $3,50 per gallon im not sure though
Step-by-step explanation:
I find it easiest to use slope-intercept form, or y=mx+b, to do this.
First, find the slope. 6/3 = 2/1 = 2. m = 2.
Next, find the y-intercept. In this case they gave it to you directly. b = -3.
So, the equation would be y = 2x - 3.