3 hours is 180 minutes.
She rested for 20 additional minutes, thus it will take her 200 minutes.
Answer:
4x + 3y = 5
Step-by-step explanation:
Gradient = -9 -11/ 8 + 7
= -4/3
Equation of the line...
y = mx + c
y = -4/3(x + 7) + 11
Multiplying through by 3...
3y = -4x - 28 + 33
3y = -4x + 5
4x + 3y = 5
Answer:
Option (2). 14 m
Step-by-step explanation:
Formula to get the area of a circle 'A' = 
where r = radius of the circle
Given in the question,
Area of the circle = 153.86 square meters
By putting the values in the formula,
153.86 = πr²
r = 
r = 
r = 7 meters
Diameter of circle = 2 × (radius of the circle)
= 2 × 7
= 14 meters
Therefore, diameter of the circle is 14 meters.
Option (2) is the answer.
The worm would move 6.375 inches in 85 minutes (1 hour 25 minutes).
Answer:
Step-by-step explanation:
I used logic and took the easy way around this as opposed to the long, drawn-out algebraic way. I noticed right off that at x = -3 and x = -1 the y values were the same. In the middle of those two x-values is -2, which is the vertex of the parabola with coordinates (-2, 4). That's the h and k in the formula I'm going to use. Then I picked a point from the table to use as my x and y in the formula I'm going to use. I chose (0, 3) because it's easy. The formula for a quadratic is

and I have everything I need to solve for a. Filling in my h, k, x, and y:
and
and
-1 = 4a so

In work/vertex form the equation for the quadratic is

In standard form it's:
