9514 1404 393
Answer:
11 7/16
Step-by-step explanation:
The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...
A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4
__
The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...
A = (1/2)(5)(15/8) = 75/16 = 4 11/16
Then the total area, the value of the integral, is ...
6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral
Answer:
4
Step-by-step explanation:
If each of 12 kids ate 1/3 of a pizza, the amount eaten was ...
12 × 1/3 pizza = 12/3 pizza = 4 pizza
Dominic needed to buy 4 pizzas.
Answer:
Each of the 7 large animals ate 71 lbs of food.
Step-by-step explanation:
There was a total of 680 lbs of food, and the elephant ate 183 lbs by itself. This means that there was 497 lbs of food left for the 7 large animals. To find out how much food each of the 7 animals ate, we just divide. 497 lbs of food divided by 7 large animals. This will give us a final result of 71 lbs of food per large animal.
Answer:
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The points are (3,5) and (-2,1):
The equation is now:
To calculate b, we use any of the given points and solve for b. Use (3,5):
Operate:
Solve:
The required equation of the line is:
