Answer:
positive
Step-by-step explanation:
The discriminant is positive
If there are 2 real roots ( where it crosses the x axis), then the discriminant is positive
Answer: 30 gallons
Step-by-step explanation:
Let the number of gallons that are in a full tank be represented by x.
Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:
20% × x = 6
20/100 × x = 6
0.2 × x = 6
0.2x = 6
x = 6/0.2
x = 30
There are 30 gallons in a full tank
Answer:
.5
Step-by-step explanation:
Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) | / √(2² + (-1)²)
d = | -4 + 0 - 4 | / √(4 + 1)
d = | -8 | / √5
d = 8 / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)
I believe the answer is 12.56 due to the fact that you would use the formula v=3.14 x 2^2