Answer:
Where is the question?
Step-by-step explanation:
Answer:
Step-by-step explanation:
To use the quadratic formula, we must write the quadratic in standard form, viz:
2x^2 - 4x + 7 = 0
Start by calculating the discriminant. That's b^2 - 4(a)(c). Here,
a = 2, b = -4 and c = 7, and so the discriminant for this particular problem is
(-4)^2 - 4(2)(7), or 16 - 56, or 40.
Recall that a positive discriminant indicates two real, unequal roots.
Now we write out the whole quadratic formula, with the appropriate constants inserted (see above):
-(-4) ± √40 4 ± (√4)(√10) 4 ± 2√10
x = --------------------- = ---------------------- = ---------------
2(2) 4 4
2 ± √10
which reduces to x = --------------
2
To determine the number of days, we need to set up equations relating the given values above. The total distance that Kayla would want to travel is a sum of the total distance she traveled from running and the total distance she traveled from biking. So,
200 miles = (6 miles/day) x + (10 miles/day) y
where x is the number of days she spent running and y is the number of days she spent biking.
If the minimum days she used for biking would be 15 days or y = 15, then
200 miles = (6 miles/day) x + (10 miles/day) (15 days)
Solving for x,
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total number of days = 15 days for biking + 8.3333 days for running = 23.3333 days or about 24 days.
9514 1404 393
Answer:
372 m²
Step-by-step explanation:
A vertical line down the center of the figure will divide it into two congruent trapezoids, each with bases 13 and 18, and height 12.
The area of one of them is ...
A = 1/2(b1 +b2)h
So, the area of the two of them together is ...
A = (2)(1/2)(b1 +b2)h = (b1 +b2)h
A = (13 m + 18 m)(12 m) = 372 m²
