Answer:
31
Step-by-step explanation:
<h3>
You have the correct answer. It is choice C) additive inverse.</h3>
The additive inverse is the idea of adding a negative number, which is the same as subtraction. Example: 2 + (-3) = 2-3
Based on the example above, if we start off with 3 and add on its additive inverse -3, then 3 + (-3) = 3-3 = 0. In general, x + (-x) = x-x = 0. So adding any number with its additive inverse gets you 0 every time.
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Extra info:
- Choice A is ruled out because the commutative property of multiplication is the idea that we can multiply two numbers in any order we want. Eg: 7*8 = 56 and 8*7 = 56, so 7*8 = 8*7
- Choice B is ruled out as well. The commutative property of addition is similar to the rule mentioned in choice A. But now we're adding. This rule says we can add two numbers in any order. Eg: 4+5 = 5+4 = 9
- Choice D is ruled out also. The multiplicative inverse of x is 1/x. Multiplying the two together gets you 1. Keep in mind that x cannot be zero. Example: The multiplicative inverse of 99 is 1/99, since 99*(1/99) = 99/99 = 1.
Answer:
D = 9.4868
Step-by-step explanation:
The expression is the following
D = √((x2-x1)^2+(y2-y1)^2)
Where
(x1,y1) = (4,6)
(x2,y2) = (7,-3)
D = √((7-4)^2+(-3-6)^2)
D = √((3)^2+(-9)^2)
D = √(9+81)
D = √(90)
D = 9.4868
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
