Answer:
Step-by-step explanation:
Let the original fraction be 
Then adding 1 to the numerator gives
= 
( cross- multiply )
⇒ y = 5x + 5 → (1)
Subtracting 1 from the denominator gives
= 
(cross- multiply )
y - 1 = 7x → (2)
Substitute y = 5x + 5 into (2)
5x + 5 - 1 = 7x ← subtract 5x from both sides
4 = 2x ⇒ x = 2
Substitute x = 2 into (1)
y = (5 × 2) + 5 = 10 + 5 = 15
Hence original fraction =
Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-3) = 7
difference of y-coordinates = 0-(-2) = 2
length of MN = √(7²+2²) = √53 ≅ 7.28 units
tanθ = 2/7
θ = arctan(2/7) ≅ 15.9°
heading = 74.1° from north
Answer:
Rational numbers are the numbers that can be expressed in the form of a ratio (P/Q & Q≠0) and irrational numbers cannot be expressed as a fraction
Step-by-step explanation:
Total possible outcomes = 4
Total no. of favorable outcomes = 2
8/10 and 48/60 are equivalent because you can see the 48/60 can divide by 8/10 is 6, you just have to see if the larger fraction can divide the smaller one.
