Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.
9x² - 49
(3x)² - (7)²
= (3x + 7)(3x - 7)
This type of factoring is called Difference of Two Squares
where x² - y² = (x + y)(x - y)
Answer:
6.4
Step-by-step explanation:
9x-23=4x+9
5x=32
x=6.4
If I'm right, brainliest pls?
Answer:
(x+4)^2 + (y-6)^2 = 29
Step-by-step explanation:
The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)
Replacing the center C(-4,6):
(x+4)^2 + (y-6)^2 = r^2
then replacing the point (-3,1):
(-3+4)^2 + (1-6)^2 = r^2
1 + 25 = r^2
then the equation of the circle is:
(x+4)^2 + (y-6)^2 = 29
Answer:
y = -5
Step-by-step explanation:
To find the slope , we use
m = (y2-y1)/(x2-x1)
3/2 = (-2-y)/(2-0)
3/2 = (-2-y)/2
Since the denominators are the same, the numerators have to be the same
3 = -2-y
Add 2 to each side
3+2 = -2-y+2
5 = -y
Divide each side by -1
5/-1 = -y/-1
-5 = y
