Answer:
- The additive inverse of −3 is +3, so 16 − (−3) = 19
- negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units
- Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
The answers <em>are</em> the explanation.
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<em>Comment on the second question</em>
Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.
Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.
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<em>Comment on choosing 'word' answers</em>
In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.
For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.
Answer:
a) 3/13
b) 1/2
Step-by-step explanation:
a) In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So the probability of drawing those cards is (4+4+4)/52 = 12/52 = 3/13.
b) 1/2 because the numbers greater than 3 on a dice is 4, 5, and 6 which is half of the available options.
We are told to write the equation of a line that is parallel to CD. The question gives us the equation for line CD, which is y = -2x - 2 and that the parallel line needs to go through the point (4,5). To start off, we need to find the slope of the line CD, which is y = -2x - 2, or -2. For a line to be parallel to another line, the slope must remain the same.
Next, we use the point-slope formula to find the parallel line's equation. The point-slope form is y - y₁ = m(x - x₁). We plug in -2 for m, 4 for x₁ and 5 for y₁. Doing so gives us y - 5 = -2(x - 4). Now, use the distributive property to simplify. This gives us:
y - 5 = -2x + 8.
Finally, we add 5 to both sides to get y = -2x + 13. Therefore, the equation of the line parallel to the line CD is y = -2x + 13. Hope this helped and have a phenomenal day!
Answer:
y < 3x - 4
Step-by-step explanation:
Hey There!
So to find the inequality we need to find the equation
First we need to find the slope
the slope is change in y over change in x
as y goes up 3 x goes up 1 so the slope is 3/1 or 3
Next we need to find the y intercept
the y intercept is at (0,-4) so the y intercept is -4
so we currently have
y __ 3x-4
Remember when the solutions ( shaded area) is above the line then the inequality sign is facing y
When the solutions ( shaded area) is below the line then the inequality sign is facing x
Because the solutions are below the line we use <
The line is dashed so we use <
our final answer would be
y < 3x - 4
Answer:
158400 inches is 2 1/2 miles
Step-by-step explanation:
2.5* 5280 because 2.5 miles is 13200 feet.
13200*12 because 13200 feet is 158400 inches.
The answer would be 158400 inches.
Please mark as brainliest! Hope this helps! If you need anymore help just ask! :D
