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3 years ago

Solve the equation for x

Mathematics

1 answer:

KengaRu [80]3 years ago

7 0

You can do this 2 ways, one is knowing the special right triangles called triplets. An example of a triplet would be 3-4-5 where the largest value is the hypotenuse. In this example, the other 2 sides are 3 and 4 and the missing side is the hypotenuse, so using the knowledge of triplets, we can find that the hypotenuse is 5.

algebraically, we can use the Pythagorean theorem; a^2+b^2=c^2 where a and b are the opposite and adjacent and where c is the hypotenuse. We can then substitute in the values to get : 3^2 + 4^2 = c^2. When simplified, we get 9+16=c^2. Simplify further, and get 25=c^2. Now we Square root both sides to solve for C. Finally, we get C=5. Your missing side is 5.

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3 years ago

Find the slope between these two points:<br> (-5, 8), (-5,-9)

Elena L [17]

Answer:

The slope is undefined.

Step-by-step explanation:

The slope of a line is its relationship between its change in verticalness and its change in horizontalness. In layman's terms, we call it rise over run. Slope can be useful for many things: to show how steep a line is, to write a line in slope-intercept form (y = mx + b), etc.

Recall that a line only needs two points to be formed. That's why slope matters so much. With lines, we only care about its steepness and its position on the coordinate plane, so slope knocks out one of those criteria.

One way to find slope is to use the definition of slope, the change in verticalness (y) divided by the change in horizontalness (x):

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

where m is the slope of the line;

and x1, y1, x2, and y2 are coordinates for points (x1, y1) and (x2, y2).

So let's use what we now know to solve the problem.

Since (-5,8) and (-5,9) are two points, they can form a line. So I can say that x1 = -5, y1 = 8, x2 = 5, and y2 = 9. Now, let's plug these numbers into the formula.

$m=\frac{-9-8}{-5-(-5)}$

$m = \frac{-17}{0}$

"Wait, what's going on? I thought I can't divide by 0." - You

Yes, exactly. But what we have here is a special case of a line, nothing more. Let me explain.

Lines don't always have a natural number for a slope, like m = 1. There are two special lines that deviate from the norm: horizontal lines and vertical lines.

Horizontal lines have a slope of zero. This is because they change in x, but not in y. So y appears as 0 in the formula: 0/x = 0. That's why horizontal lines have a slope of zero. They are usually written as y = C where C is some constant.

Vertical lines have an undefined slope. We're dealing with this type of line for our problem. They change in y, but not in x. So x appears as 0 in the formula: y/0 = undefined. We simply cannot divide by zero. That's why vertical lines have undefined slopes. They are usually written as x = C where C is some constant.

So there you go. (-5, 8) and (-5, -9) form a vertical line that has an undefined slope. And if you really want to know the equation for this line, it's x = -5.

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erik [133]

Step-by-step explanation:

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The natural numbers are the set of positive integers. For example, 1, 2, 3. . . are all natural numbers. The whole

numbers are the natural numbers and zero. For example, 0, 1, 2, 3. . . are all whole numbers. The integers are

the whole numbers and their opposites. For example, -2, -1, 0, 1, 2. . . are all integers. A rational number is any

number that can be expressed in the form of a

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3 years ago

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the

dedylja [7]

So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

x + 2x = 66
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x = 22

That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.

Hope I helped!

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4 years ago

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