Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
129/43x100=300
129 is 43% of 300
Answer: Yes
Step-by-step explanation:
I'm pretty sure it's correct so yes
Answer:4200-600m=1800
Step-by-step explanation:
4200-600m=1800
Subtract 4200 from 1800
-600m=-3600
Divide both sides by -600
m=6
