Answer:
<h3>
It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>
Step-by-step explanation:
Given the quadratic polynomial x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this quadratic polynomial is therefore 2. <u>This means that the equation has exactly two solutions. </u>
Let us determine the nature of the roots by factorizing the quadratic polynomial and finding the roots.
x²+x−12 = 0
x²+4x-3x−12 = 0
= (x²+4x)-(3x−12) = 0
= x(x+4)-3(x+4) = 0
= (x-3)(x+4) = 0
x-3 = 0 and x+4 = 0
x = 3 and -4
This shows that the quadratic polynomial has <u>two real roots</u>
<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>
Answer:
Step-by-step explanation:
0.57 . im guessing
Answer:
the approximate area of this circle is 200.96 inches long.
Step-by-step explanation:
To answer this problem we need to remember that the area of a circle is given by the formula:
Area = π
where r is the radius.
and the perimeter is:
Perimeter = 2πr
Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.
Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.
Perimeter = 2πr
50.24=2(3.14)r
50.24= 6.28r
50.24/6.28= r
8= r
Thus, the radius of the circle is 8 inches long.
Now, we can use this value to find the area of the circle:
Area = π
Area = π
Area = 3.14 (64)
Area = 200.96
Therefore, the approximate area of this circle is 200.96 inches long.
Answer: 1 out of 4
Step-by-step explanation:
If you divided the total amount of balloons that were sold by the amount of white balloons, it would be 4. The 1 comes from 1 in 4 being the probability of them being white. You can check this by multiplying the 1 and 4 by 6 and it would be 6 out of 24, which shows our answer is correct.
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