The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)
Answer:
18
Step-by-step explanation:
The longest side of the triangle is known as the hypotenuse. To find the hypotenuse, you would use the equation a^2+b^2=c^2.
The a and b represent one side of the triangle so it wouldn’t matter which side you use for them. The c represents the hypotenuse.
When you plug in the side lengths, the equation would be:
10^2+15^2=c^2
100+225=c^2
325=c^2
Now you find the square root of 325 which is approximately 18,
And so the final answer is 18.
Hope I helped! :)
Answer:
what is your question ?
Step-by-step explanation:
Answer:
y=0
Step-by-step explanation:
x y
-2 0.04
-1 0.2
0 1
1 5
2 25
Answer:
The value of A5 is 25
Step-by-step explanation:
L = a1 + (n - 1) x d
a1 = 9 n = 5 d = 4
L = 9 + (5 -1)x4
L = 9 + 4x4
L = 9 + 16
L = 25