Step-by-step explanation:
triangle MAC=triangle MBD=90 Degree
Therefore, From right angled triangle
AC=BD
Answer:
no
Step-by-step explanation:
5x - 3 = 12
5x=12+3
x=15/5=3
x=3
substitute x with 7 to find if it is a solution :
5(7)-3=12
35-3 ≠12 ( so no 7 is not a solution)
Answer:

Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:

In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that 
So

By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that
.
We use this to find r.







So the equation for the moose population is:

Answer:
Formula: a² + 2ab + b² = (a + b)²
The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.
The answer is (1/3x + 1/5y)².
Option A
The solution is 
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
3x + 6y = 1 ------ eqn 1
x - 4y = 1 ------ eqn 2
We have to find solution to system of equations
We can use substitution method
From eqn 2,
x = 1 + 4y -------- eqn 3
Substitute eqn 3 in eqn 1
3(1 + 4y) + 6y = 1
3 + 12y + 6y = 1
18y = 1 - 3
18y = -2
Divide both sides by 18

Substitute the above value of y in eqn 3

Thus solution is 