Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Answer:
44m
Step-by-step explanation:
area of a trapezoid = (a+b)* h/2
since the distance between two parallel sides is 15, that would be your height
plug everything in and you get:
480 = (20 + b) *15/2
b = 44
Amy runs 1 mile in 7.6 minutes so in 57 minutes she will have run 7.5 miles
The answer is 133.5 I got this by dividing 267 by 2
Proceed left to right. The larger number will have a larger digit in the corresponding place.
Here, the differing digits are 1 and 0 in the thousandths place. The appropriate sign is ">"
... 5.43123 > 5.43013
