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3 years ago

What is square root of 100? Is it irrational or rational?

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

Square root of 100 is 10. Therefore, it is rational.

Step2247 [10]3 years ago

5 0

The suquare root is 10. it is a rational number

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Solve the system of equations below by graphing. x^2-2x+y-3=0 x2+y=0 What is the solution rounded to the nearest hundredth? (–2.

Olin [163]

Answer:

$(-1.5,-2.25)$

Step-by-step explanation:

The first function is $x^2-2x+y-3=0$ .

We make y the subject of this function to obtain,

$y=3+2x-x^2$ .

This is graph will open downwards because $a=-1\:$ .

At y-intercept of this graph, $x=0$ .

$\Rightarrow y=3+2(0)-(0)^2$

$\Rightarrow y=3$

The y-intercept is $(0,3)$ .

At x-intercept $y=0$ .

$0=3+2x-x^2$

$0=(x+1)(x-3)$

$\Rightarrow x=-1,x=3$ .

The x-intercepts are,

$(-1,0),(3,0)$

Also the vertex form of the function is,

$y=-(x-1)^2+4$ .

Therefore the vertex of the parabola is $(1,4)$ .

We plot all the points obtained and draw a smooth curve to obtain the curve as show in the diagram.

The second function is

$x^2+y=0$

$\Rightarrow y=-x^2$

This is the graph of the basic quadratic function $y=x^2$ that has been turned upside down.

This graph also has the vertex,y-intercept and x-intercept all at $(0,0)$ .

We now graph this too on the same graph sheet as the first one to obtain the blue graph as shown in the diagram.

These two graphs intersect at the point, $(-1.5,-2.25)$ .

Therefore the correct answer is B

3 0

3 years ago

I need help finding the missing side length with the answer in radicals in the simplest form.

AlekseyPX

Answer:

Step-by-step explanation:

There’s nothing hard with this

You need to know special right triangles

This is a 30,60, 90 triangle

We automatically know becuase theres. Right angle (90) and a 60 degree angle

now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6

The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers

Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N $\sqrt{3}$ . So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle