39-(15z+48)/27=35
39-35=(15z+48)/27
4=(15z+48)/27
108=15z+48
108-48=15z
60=15z
z=60/15
z=4
Asks for x part of the solution. that is ,-2
............ .. ......
Answer:

Step-by-step explanation:
We want to write the equation of a circle with a center at (3, -2) and a radius of 6 units.
Recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (3, -2), <em>h</em> = 3 and <em>k</em> = -2. <em>r</em> = 6. Substitute:

Simplify:

In conclusion, the equation of the circle will be:

Answer:
After 140 days
Step-by-step explanation:
The next time both plants will be watered together is simply the LCM of 10 and 14.
10 has multiples: 10, 20, 30, 40 , 50 ....
14 has multiples: 14, 28, 42, 56 ....
When will they next be equal?? That's the LCM.
We first do prime factorization of the numbers and then multiply each factor the greatest number of times it occurs in either number.
<u>Prime Factorization</u>
10 = 2 * 5
14 = 2 * 7
So,
LCM = 2^2 * 5 * 7 = 140
After 140 days
Given:
The given equation is:

A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:

Where, m is slope and b is y-intercept.
We have,

Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,



The slope of required line is
and it passes through the point (4,-1). So, the equation of the line is:




Therefore, the equation of the required line is
.