Answer:
31/40
Step-by-step explanation:
Given expression:

Note: Both fractions must have same denominators if we want to perform addition, subtraction, multiplication, or division.
The only way to simplify this expression is to have a common denominator, which can be determined by the LCM of 5 and 8.
- ⇒ Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45...
- ⇒ Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72...
Multiply the denominators with such a number that is equivalent to 40.
Note: The number you are multiplying should also be multiplied to the numerator.


Finally, simplify the expression to determine the solution.

Since 31 is a prime number, we can't simplify this fraction. Thus, the final answer is 31/40.
Answer:
2√10
Step-by-step explanation:
Given the coordinates (-6, 2) and (0,0)
We are to find the distance between the coordinates. Using the distance formula;
d = √(x2-x1)²+(y2-y1)²
d = √(0-2)²+(0+6)²
d = √(-2)²+(6)²
d = √4+36
d = √40
d = √4*10
d = 2√10
Hence the required distance is 2√10
Answer:
Step-by-step explanation:
X is 1 y is -4
Which gets the following:
X(1) + y(-4) = -3
x(1) + 2(-4) = -7
Equation 1 ==> y = -4x + 2
Equation 2 ==> y = x - 3
Substitude equation 2 into 1
x - 3 = -4x + 2
-5 = -5x
x = 1
Substitude x into equation 2
y = 1 - 3
y = -2
Coordinates is (1, -2)
Answer is D.