Answer:
<em>The values are a=6, b=8</em>
Step-by-step explanation:
The following system of equations
ax - by = 4
bx - ay = 10
Has the solution x=2, y=1. Substituting:
2a - b = 4 [1]
2b - a = 10 [2]
Multiply [1] by 2:
4a - 2b = 8
Add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [1]:
2*6 - b = 4
b = 12 - 4
b = 8
The values are a=6, b=8
M = 16
16 = 4B
B = 4
(M - B) = 12 <== this will never change. Mary will always be 12 yrs older than he is.
So, when she is twice as old as he is, he is 12 and <u>she is 24</u>.
That will occur in 8 years from now.
They should live long and prosper.
Answer:
-1/5 I believe, since you go down one and to the right by 5.
A rhombus is always a parallelogram, hope that helps!
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :

Taking 3x common.

x = 3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.