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Vesna [10]
3 years ago
13

Find the height of this triangle.

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer:

\sqrt{3}

Step-by-step explanation:

x^2 + 1 = 4

x^2 = 3

\sqrt{3}

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35/10

=7/2

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4 years ago
What linear equation in slope intercept from does this graph represent?​
marshall27 [118]

Answer:

y = 16\frac{2}{3} x + 100 or y = \frac{50}{3} + 100

Step-by-step explanation:

The equation of a line is y = mx + b, with m being the slope and b being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is y = mx + 100.

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use \frac{y_{2} - y_{1}}{x_{2} - x_{1}  } to find the slope.

Let's substitute in our points.

\frac{150-100}{3-0}

Simplify.

\frac{50}{3}

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is 16\frac{2}{3}.

We'll put that in our equation for a line and...bam!

y = 16\frac{2}{3} x + 100 or y = \frac{50}{3} + 100

6 0
3 years ago
Tell me if I'm right, 10 points on the line
Llana [10]
<h3>Answer: Choice F) 1</h3>

=============================================

Explanation:

x^2+8x+7 factors to (x+1)(x+7)

x^2+4x-21 factors to (x-3)(x+7)

Therefore, the numerator (x^2+8x+7)(x-3) updates to (x+1)(x+7)(x-3)

The denominator (x^2+4x-21)(x+1) updates to (x-3)(x+7)(x+1)

We have three pairs of terms that will cancel between the numerator and denominator. The (x+1) terms pair up and cancel out, so do the (x+7) terms and also the (x-3) terms as well. Everything cancels out. The only thing left is 1 because x/x = 1 where x is nonzero. We can have a more complicated expression replace x to get the same basic idea. This is what I mean by "canceling".

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4 years ago
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