Answer:
Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409
The discriminant is positive ,then the equation has two solutions.
An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the drive
r works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
1 answer:
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Hi student, let me help you out! :)
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We are asked to find the equation of the line, using the given information:
, which is the slope
which is a point that the line contains
- The slope is the number before x, in the form
.
Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:
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Now, we need to find the y intercept, "b", of the line.
Here's how it's done:
Remember the point that the line contains, (1,2)?
Well, its y-coordinate is 2; so what we do is substitute 2 for y:
Also, its x-coordinate is 1, so we substitute 1 for x:
Now, solve for b:
Add 3 to both sides:
Thus, we have
Thus, the equation of the line is:
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Answer:
a F
Step-by-step explanation:
Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.
If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10 which is F.
Actually, the area of a triangle is a = bh/2. If a = 30 and b = 12:
So he height is 5 units
So he height is 5 units