Hey there!
In order to find the additive inverse of any number, regardless if it is real or not, you can simply multiply the number by -1 or negate it.
This should look like this:
-(6-3i)
=-6+3i
Therefore, the additive inverse of 6-3i is -6+3i.
**Note: Keep in mind, when the additive inverse of a number is added to the number, the number equals 0:
(6-3i)+(-6+3i)=0
Hope this helps and have a marvelous day! :)
The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.
The cosine function takes x values from all real numbers.
Therefore, the domain of the cosine function is a real numbers.
So, if he has 4 dozen eggs, ten dollars per dozen, he has spent $40 on 48 eggs. <em>This means the cost of one egg = 48/40. </em>This can simplify to <em>6/5 </em>which is equal to<em> $1.20. </em>This means the value of one egg is $1.20, including the broken ones! So if six were broken, we multiply 1.20 x 6 which equals <em>$7.20!</em>
Use this "formula" to help find percentages
<em>Part/Total = %( Percentage )/ 100</em>
Now that we know how much money has gone to waste, we can plug in the known values into this "formula."
<em>7.2/48 = x/100</em>
Solve accordingly; cross multiply, 720 = 48x; divide both sides of the equation by 48 to isolate the variable, 720/48 = 48x/48; now you have your final answer which is:
15 = x; going back to the "formula" this means 15% of his money has gone to waste. I hope this helped! :)
Hello there,
To find out the equation you use the slope intercept form...
y = mx + b
M is the slope and b is where the line crosses the y-axis...
Now to find the slope you count the distance from two points so...
The distance from (0,2) to (1,5) is 3 units up and 1 unit over.
So the correct answer should be...
y = 3x + 2
Answer: w = 3z + 2
Hope I helped!!
-Char
The basis to respond this question are:
1) Perpedicular lines form a 90° angle between them.
2) The product of the slopes of two any perpendicular lines is - 1.
So, from that basic knowledge you can analyze each option:
<span>a.Lines s and t have slopes that are opposite reciprocals.
TRUE. Tha comes the number 2 basic condition for the perpendicular lines.
slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.
b.Lines s and t have the same slope.
FALSE. We have already stated the the slopes are opposite reciprocals.
c.The product of the slopes of s and t is equal to -1
TRUE: that is one of the basic statements that you need to know and handle.
d.The lines have the same steepness.
FALSE: the slope is a measure of steepness, so they have different steepness.
e.The lines have different y intercepts.
FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.
f.The lines never intersect.
FALSE: perpendicular lines always intersept (in a 90° angle).
g.The intersection of s and t forms right angle.
TRUE: right angle = 90°.
h.If the slope of s is 6, the slope of t is -6
FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.
So, the right choices are a, c and g.
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