Answer:
(-5, -2)
Step-by-step explanation:
Rule for reflection over y = x :
(x, y) -> (y, x)
Answer:
2, -5
Step-by-step explanation:
Answer:
The angle that the ladder made with the ground = 53.13010235°
Step-by-step explanation:
The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.
The angle A is the angle the ladder made with the ground.
Length of ladder = c
height from the top of the ladder to the ground = a
The distance of the foot of the ladder and the wall = b
c = 10 ft
a = 8 ft
Using SOHCAHTOA
sin A = a/c
sin A = 8/10
sin A = 0.8
A = sin-1 0.8
A = 53.13010235°
Answer:
what do you mean by that?
Step-by-step explanation:
There are total of 32 pages in the complete book.
A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Tyler reads 2/15 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursday. He still has 14 pages.
Let the total number of pages in the book will be [x]. Then, we can write -
{2x/15} + {x/3} + {2x/9} + {3x/4} = x + 14
x{2/15 + 1/3 + 2/9 + 3/4} - 14 = x
259x/180 - 14 = x
1.44x - 14 = x
0.44x = 14
x = (14/0.44)
x = 32 (approx.)
Therefore, there are total of 32 pages in the complete book.
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Answer:
18
Step-by-step explanation:
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.
The vertex is (4,1).