Yes, (2,4) is the solution of 2x-7y<-10
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Answer:
<em>8cm</em>
Step-by-step explanation:
Given three pieces of string of length 16 cm, 56 cm and 24 cm respectively. To get the the greatest length that each piece of string can be if she wants to cut the three lengths of string into smaller pieces such that all the pieces are of equal length, with no string left over, we will have to find the greatest common factor for the three lengths
16 = 2 * 8
56 = 7 * 8
24 = 3 * 8
Since 8 is common to all the factors, hence the greatest common factor is 8.
<em>Hence the greatest length that each piece of string can be, in cm is 8cm</em>
since the ∡C = ∡B, that means their corresponding sides stemming from the vertex A are equal, namely AC = AB.
2x - 24 = x - 2
x = 22.
Answer:
9x² -5
Step-by-step explanation:
(f○g)(x) means f(g(x))
Put the definition of g(x) in place of x in the definition of f(x):
f(g(x)) = f(x²) = 9(x²) - 5
(f○g)(x) = 9x² - 5
Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is

The length of AB is

The length of AD is

Since AB=AD, therefore ABCD is a square. The area of the of square is

The area of square is 29 units².
The area of a semicircle is

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

The area of the semicircle is

The area of the figure is

Therefore the area of the figure is 40.4 units². Option B is correct.