You actually have most of the answers correct.
E is the origin
D is the x axis
A is the y axis
B is at coordinates (1, 3)
C is at coordinates (3, 1)
*remember you go across on the graph x axis and then up y axis.
Answer:
-15.96
Step-by-step explanation:
A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)
Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."
Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."
Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."
Multiply the positive 4i and the negative 4i to get 16i squared
The positive 60i and the negative 60i cancel each other out.
The i squared changes into - 1. This makes the 16 negative.
Add 1/25 to - 16 to get - 15.96
Answer:
15/8
Step-by-step explanation:
Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).
d = s + r + b [1]
1/24 of the total distance is covered by swimming.
s = 1/24 d [2]
1/3 of the distance is covered by running.
r = 1/3 d [3]
If we replace [2] and [3] in [1], we get
d = 1/24 d + 1/3 d + b
b = d - 1/24 d - 1/3 d
b = 24/24 d - 1/24 d - 8/24 d
b = 15/24 d = 5/8 d
The ratio of the distance covered by bike to the distance covered by running is:
b/r = (5/8 d)/(1/3 d) = 15/8
Step-by-step explanation:
The answer is 4.16
You can put it in calculator the answer is in decimal points because 25 does not comes in the table of 6
Answer:
The domain and range remain the same.
Step-by-step explanation:
Hi there!
First, we must determine what increasing <em>a</em> by 2 really does to the exponential function.
In f(x)=ab^x, <em>a</em> represents the initial value (y-intercept) of the function while <em>b</em> represents the common ratio for each consecutive value of f(x).
Increasing <em>a</em> by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).
The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.
The range remains the same as well; for the original function, it would have been 
. Because increasing <em>a</em> by 2 does not move the entire function up or down, the range remains the same.
I hope this helps!
