Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
<u>y = -3</u>
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
<u>x = 4</u>
<h3>
Answer:</h3>
C). The function is linear because it decreases at a constant rate.
<h3>
Step-by-step explanation:</h3>
y changes by -1 every time x changes by +2. When the rate of change is constant, the function is linear.
Answer:
BA / AC
Step-by-step explanation:
Given the triangle ABC;
To obtain the Sin C
Defining the attached triangle with respect to C:
Sine = opposite / hypotenus
Sin C = BA / AC
Hence, the ratio of sinC is BA /AC
Answer:
≈ 2,826 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14 · 10^2 · 9
V = 3.14 · 100 · 9
V = 314 · 9
V = 2,826