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ololo11 [35]
3 years ago
9

Is the square root of 12 rational or irrational?

Mathematics
1 answer:
Andreyy893 years ago
5 0
<h3>Answer: Irrational</h3>

We cannot write sqrt(12) as a fraction of two whole numbers

Note how sqrt(12) = 3.464 and the decimal portion goes on forever without any known pattern (and it doesnt repeat either).

Compare this to something like sqrt(16) = 4 which can be written as a fraction 4/1, so sqrt(16) is rational

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Identify the triangle ​
mr_godi [17]

Answer:

C.

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Which mized numbers can you write for 24/7
IgorLugansk [536]
How many times does 24 go into 7?

7 × 1 = 7
7 × 2 = 14
7 × 3 = 21
7 × 4 = 28

7 goes into 24 only three times, leaving three remainder. So you would write it like this: 3 \frac{3}{7}. 7 goes into 24 three times, there is three left over as remainder, and the denominator from before is 7. Thus the answer.

I do hope this helped :))



7 0
3 years ago
What is the solution set of y=2x^2+8x and x-2.23y+10.34=0
trasher [3.6K]
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0   
2.23y = x + 10.34
y =  .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31

Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54

y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31

Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
8 0
3 years ago
You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
expeople1 [14]
Well, since we are using the Pythagorean theorem, i would suppose that the other side length of the triangle would be 4 centimeters, because of the 3, 4, 5 rule.
4 0
3 years ago
Terri graphed a system of linear inequalities. Which ordered pairs are a part of the solution set for this system of linear ineq
Oduvanchick [21]

Answer: (2, -4) and (7, -1)

Step-by-step explanation:

Ok, the solutions of the system of inequalities are all the points that lie on the blue shaded part of the graph or in the solid line.

So, in order to see if the points are solutions of the system, then you need to locate the point in the graph and see if it is inside the shaded region or in the solid line (only in the segment that "touches" the shaded region).

Now, we want to find the equation of the solid line, we can see that it passes through the points (0, 6) and (6, 0)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then, in this case, the slope is:

a = (0 - 6)/(6 - 0) = -1.

And to find the value of b, we have that when x = 0, y = 6.

y = 6 = -1*0 + b

6 = b

The equation is:

y = -1*x + 6

(-1, 5) is not in the blue region nor in the solid line, so this is not a solution.

(7, - 1) this point is near the solid line, let's test it:

y(7) = -1*7 + 6 = -1

So the point (7, -1) is on the solid line, and is the other solution of the system.

8 0
4 years ago
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