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Over [174]
3 years ago
14

How to find the length of the hypotenuse of a line segment?

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

the hypotenuse may be found by using the Pythagoras theorem
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Nookie1986 [14]

Answer:

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2 years ago
A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

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3 years ago
Evaluate the piecewise function at the indicated value from the domain: f(x)=[1/x, if x<-2 x^2, if x> with the equal sign
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The answer is B. I hope I've helped you.
4 0
3 years ago
Read 2 more answers
What is the answer to x/-4 <16
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\frac{x}{-4} < 16

16 yı karşıya at;

x/-4-16<0

(-x-64)/4<0

-x-64<0

-64<x

x>-64

7 0
3 years ago
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Will give brainlist if correct!
Sveta_85 [38]

Answer:

A y=5

Step-by-step explanation:

5 0
3 years ago
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