Answer:
Step-by-step explanation:
The area of trapezoid is given by the formula:
Where
A is the area
b_1 is base 1
b_2 is base 2, and
h is the height
Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.
The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:
Now, area of semicircle is:
Where
A is the area
r is the radius
Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:
Total area of the figure is
Answer:
£24
Step-by-step explanation:
3/4 + 1/8 = 7/8 of his money spent
8/8 - 7/8 = 1/8 of his money left
1/8 times £192 = £24 left
Answer:
Shifted left by 2 units
Step-by-step explanation:
When you have a function (say f(x)), you can translate it left or right by replacing what's inside the function. In this case it is shown that the x in f(x) is replaced with x+2 in g(x). Therefore:
Rewriting g(x) like this shows that there is a +2 in the f(x). Whenever there is a number being added inside the function, then the graph is shifted left that many units (and vice versa for subtraction). So in this case since 2 is being added inside the function the graph will be translated left 2
Answer: 6.25 IF my assumption is correct about the missing x!
The Other way around: 4.5 with 2x² + y² / 3
Step-by-step explanation: 2y² + y² / 3 assuming the 2nd y should have been x, 1st y is y, and all divided by 3
2(3)² + (1.5)² / 3
2(9) + 2.25 /3
18 + 2.25 /3
20.25/3
6.25
Edited to correct!________ OR 2y² + y² / 3 assuming the 1st y should have been x, 2nd y is y, and all divided by 3
2(1.5)² + (3)² / 3
2(2.25) + 9 / 3
4.5 + 9 /3
13.5 /3
4.5
"The sum of the number 'n' and 31" . . . . . (n + 31)
"17 times the sum" . . . . . 17(n + 31)
The equation . . . . . 17(n + 31) = 357
