1 2/5 - (-3/5)
First, we're going to convert 1 2/5 into an improper fraction.
1 2/5 = 7/5
7/5 - (-3/5)
Subtracting a negative is the same as adding, so the problem will look like:
7/5 + 3/5
The denominators are the same, so we just add the numerators.
The answer is 10/5, or 2.
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Answer: 4 and 8 are you variables.
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The explanation for this is one of my favorite pieces of mathematical reasoning. First, let's thing about distance; what's the shortest distance between two points? <em>A straight line</em>. If we just drew a straight line between A and B, though, we'd be missing a crucial element of the original problem: we also need to pass through a point on the line (the "river"). Here's where the mathemagic comes in.
If we take the point B and <em>reflect it over the line</em>, creating the point B' (see picture 1), we can draw a line straight from A to B' that passes through a point on the line. Notice the symmetry here; the distance from the intersection point to B' is<em> the same as its distance to B</em>. So, if we reflect that segment back up, we'll have a path to B, and because it came from of the line segment AB', we know that it's <em>the shortest possible distance that includes a point on the line</em>.
If we apply this same process to our picture, we see that the line segment AB' crosses the line at the point (1, 1)
Answer:
<h2>12</h2>
Step-by-step explanation:
The Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it:
• add up all the numbers,
• then divide by how many numbers there are.
We have: 18, 16, x, 9, 12, 23 - six numbers (<em>n = 6</em>) and <em>mean = 15.</em>
Substitute:
Answer:
See explanation
Step-by-step explanation:
Given that the equation for the firecracker is h = − 5 t^2 + 30 t + 20
It is impossible to solve this question unless the height (h) in meters is supplied. If the height was supplied, we could set up the quadratic equation and solve it yielding two values for the time. The values of t obtained is the time in seconds required for the firecracker to reach the given height h.
You can apply these tips and solve the question seamlessly.