Saleem wants to create a table of ratios that are equivalent to 2 3 . He includes the ratios 4 5 and 5 6 . Are these ratios equi
2 answers:
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First of all it is always a good idea to graph a question like this one. Here are the three graphs
y = x^4 - x^2 Color: Red This is the base graph
y = x^4 - x^2 - 4 Color Blue This has - 4 added to it.
y = x^4 - x^2 + 4 Color Green This has 4 added to the base graph
Which one is correct? The red and blue one are not. The graph you want is plotted upward from the base graph. The base graph (red nothing added to it) is not right because it has points on the x axis. The graph you want does not.
The same is true of the blue graph. It cuts the x axis. That only leaves the green one.
Answer: C
y = x^4 - x^2 Color: Red This is the base graph
y = x^4 - x^2 - 4 Color Blue This has - 4 added to it.
y = x^4 - x^2 + 4 Color Green This has 4 added to the base graph
Which one is correct? The red and blue one are not. The graph you want is plotted upward from the base graph. The base graph (red nothing added to it) is not right because it has points on the x axis. The graph you want does not.
The same is true of the blue graph. It cuts the x axis. That only leaves the green one.
Answer: C
Since AK = KD, then the triangle ABD is isosceles,
Then BD = AB. Denote AB by x and AK by y.
Then,
2x+4y=24 (the perimeter)
cos 60=y/x.
From the second equation we get
Plug in the first equation we get:
We deduce that
Then BD = AB. Denote AB by x and AK by y.
Then,
2x+4y=24 (the perimeter)
cos 60=y/x.
From the second equation we get
Plug in the first equation we get:
We deduce that
We convert 2.3181818 to fraction as follows:
Let x = 2.3181818 . . . . . (1)
as can be seen, the repeating digits are 18
Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)
Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)
Subtract equation (3) from equation (2) to get
990x = 2,295
Thus,
Let x = 2.3181818 . . . . . (1)
as can be seen, the repeating digits are 18
Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)
Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)
Subtract equation (3) from equation (2) to get
990x = 2,295
Thus,