2/10 in simplest form:
First, we can start out by finding the greatest common factor (GCF) of the numerator (2) and the denominator (10). This should always be done when simplifying a fraction the quickest way. Let's list out the factors of each number and find the common ones.
Factors of 2: 1, 2
Factors of 10: 1, 2, 5, 10
The GCF is 2, considering that 1 and 2 are the common factors, but 2 is the greatest.
Second, our last step is to divide
our numerator and denominator by the GCF (2) to find out our simplified fraction.

Answer in fraction form:

Answer in decimal form:
The complementary angle of this intersection is 48.6
The supplementary angle of this intersection is 138.6
Answer:
The solution set is (-20/9, -95/9)
Step-by-step explanation:
To solve using the substitution method, start by solving the second equation for y.
1/3y = 7/3x + 5/3
y = 7x + 5
Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.
-4x - 2(7x + 5) = 30
-4x - 14x - 10 = 30
-18x - 10 = 30
-18x = 40
x = -20/9
Now that we have the value of x, we can solve for y by inputting the x value into either equation.
-4x - 2y = 30
-4(-20/9) - 2y = 30
80/9 - 2y = 30
80/9 - 2y = 270/9
-2y = 190/9
y = -95/9
Step-by-step explanation:
Use the distance formula:
d² = (x₂ − x₁)² + (y₂ − y₁)²
d² = (-3 − -12)² + (-8 − -11)²
d² = 9² + 3²
d² = 90
d = 3√10