15 points!!! Help please

Mathematics

2 answers:

TiliK225 [7]4 years ago

5 0

Answer:

$\frac{1}{5} + (\sqrt{7}$ x $\sqrt{10} )$

Step-by-step explanation:

Both $\sqrt{7}$ and $\sqrt{10}$ will give ± value but when it multiplies it always give a positive number.

Nonamiya [84]4 years ago

4 0

Answer:

Based on this screenshot, this is a Test. Do the test no your own, and if you're unsure what the answer is you can come back to it later or just pick random. If you get it correct or incorrect most tests like this will change their difficulty level to see what types of problems you can and cannot answer. This is so your teacher can see what you know about math and what you may need help learning about.

Step-by-step explanation:

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WITCHER [35]

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(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?

sdas [7]

Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

y ≤ –x^2 – 4

Here we do not have any options, so let's try to find a general solution.

First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.