Imaginary numbers ? just equate the imaginary with imaginary and real with real
<span>2ci 1=-d 6-ci <<< what the * is that ?
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Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]
Answer:
B. 24
Step-by-step explanation:
it takes 60 minutes for one and 40 for another. since you don't know the time. the denominator is going to be x. The equation to solve this problem will be x/60 + x/40 = 1. Since you're adding, you want to have the same denominator. ( i chose to do 120) this will change the problem to 2x/120 + 3x/120 = 1. which will simplify to 5x/120=1. Multiply each side by 120 to get 5x=120 and divide each side by 5 to get x=24.
Answer: 10 ft
Explanation
As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.
0. Calculating BC
We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:
we can find the opposite side, which is BC. Replacing the values and simplifying we get:
Thus, the segment BC measures 5ft.
<em>2. Calculating segment AC</em>.
In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:
<em>3. Calculating the distance between A and B</em>
