Answer:
50
Step-by-step explanation:
- 8i = √-64
8i + 6
- -4i = -√-16
-4i + 3
[8i + 6][-4i + 3] → FOIL
>> -32i² + [24i - 24i] + 18
↑ ↑
-1 0
>>> 32 + 18 = 50
Information on Imaginary Numbers
√-1 = i
-1 = i²
-i = i³
1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]
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Answer:
Ratio of the perimeters =3:1
Step-by-step explanation:
We have given that : Ratio of the sides of two squares is 3:1
To find : Ratio of their perimeters
Solution : Let the length of the sides are 3:1 = 3x : x
Formula of perimeter of square = 4(side)
Using the formula ,
Perimeter of 1 square = 4×3x= 12x
Perimeter of 2 square = 4×x= 4x
Ratio of the perimeter of 1 square and 2 square = 12x : 4x
= 3 : 1
Mark spent a total of 80 minutes or 1 hour and 20 minutes traveling to and from work.
45 minutes + 35 minutes = 80 minutes
There are 60 minutes per hour, so their would 1 hour and 20 minutes.
Answer:
first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function
Step-by-step explanation:
Since <span>x</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>x</span> from both sides.<span><span><span><span><span>2m</span><span><span>−n</span>x</span></span><span>−x</span></span>=4
</span></span>Since 2m does not contain the variable to solve for, move it to the right side of the equation by subtracting 2m from both sides.<span><span><span><span><span>n</span>x</span><span>-x</span></span>=<span><span><span>-2</span>m</span>+4</span></span></span>Factor <span>x</span> out of <span><span><span><span>−n</span>x</span><span>−x</span></span></span><span><span><span>x<span>(<span><span>−n</span><span>−1</span></span>)</span></span>=<span><span><span>−2</span>m</span>+4</span></span></span>Divide each term by <span><span><span>−n</span><span>−1</span></span><span><span>-n</span><span>-1</span></span></span> and simplify.<span>x=<span><span><span>2<span>(<span>m<span>−2</span></span>)/</span></span><span>n+1</span></span></span></span>
