Answer: here is your steps Simplifying
8x + -37 = 5x + 17
Reorder the terms:
-37 + 8x = 5x + 17
Reorder the terms:
-37 + 8x = 17 + 5x
Solving
-37 + 8x = 17 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-37 + 8x + -5x = 17 + 5x + -5x
Combine like terms: 8x + -5x = 3x
-37 + 3x = 17 + 5x + -5x
Combine like terms: 5x + -5x = 0
-37 + 3x = 17 + 0
-37 + 3x = 17
Add '37' to each side of the equation.
-37 + 37 + 3x = 17 + 37
Combine like terms: -37 + 37 = 0
0 + 3x = 17 + 37
3x = 17 + 37
Combine like terms: 17 + 37 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
Step-by-step explanation:
Answer:
1 circle
Step-by-step explanation:
Given two circles (red circles on the diagram).
There are two tangent circles to both of the given circles (blue circles on the diagram), and only one of them is passing through the point (0,5).
Let's check it.
The equations of the tangent circles are
![x^2+y^2=9\ [\text{Smaller tangent circle}]\\ \\x^2+y^2=25\ [\text{Larger tangent circle}]](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D9%5C%20%5B%5Ctext%7BSmaller%20tangent%20circle%7D%5D%5C%5C%20%5C%5Cx%5E2%2By%5E2%3D25%5C%20%5B%5Ctext%7BLarger%20tangent%20circle%7D%5D)
Check whether point (0,5) lies on the smaller circle:
No
Check whether point (0,5) lies on the larger circle:
Yes
<u>Answer: </u>1 circle
Answer:
d
Step-by-step explanation:
the center of the circle is at (-4. -5) with a radius of 6
Given:
<span>The average number of daylight hours each month in Springfield in 2015:
Jan 9.5
Feb 10.5
Mar 12
Apr 13.25
May 14.5
Jun 15
Jul 14.75
Aug 13.75
Sep 12.5
Oct 11.0
Nov 9.75
Dec 9.25
Now, we observe the trend of the monthly hours, it starts with a low value then increases and decreases back to the original value. This represents a parabola with the highest point of 15 hours. </span><span />
