Answer: Parallel lines have equal slopes
If the slope of line s is -32 or -3/2, then the same applies to line t
Parallel lines have equal slopes but different y intercepts. These lines do not cross or intersect.
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
This is impossible by definition both need four sides so
First, we must figure out how much weight the pig gained and then add that number to the pig’s initial weight.
To figure out how much weight the pig gained, we must find 30% of 120.
Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).
0.3 * 120 = 36
Therefore, the pig gained 36 pounds.
To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.
36 + 120 = 156
Therefore, the new weight of Shane’s pig is 156 pounds.
Hope this helps!
Exercise 1:
The exponents are wrong: when you divide two power, you subtract the exponents:
Exercise 2:
The function represents a growth rate of 300%! 3% is actually written as 0.03, so the correct function is
Exercise 3:
To factor a quadratic equation, we have to find the roots. Once you have the roots 
, you can factor the expression as 
In this case, the solutions are 
, which yields the factorization
Exercise 4:
When you multiply two powers of the same base, you add the exponents:
So, in your case, you have
