The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions
<h3>How to interpret the discriminant?</h3>
The equation is given as:
0 = -2x^2 + 3
Rewrite as:
-2x^2 + 3 = 0
The discriminant of an equation is calculated using:
D = B^2 - 4AC
In this case, we have:
A = -2
B = 0
C = 3
So, we have:
D = (0)^2 - 4 * -2 * 3
Evaluate
D = 24
When the discriminant is 0 or more, then the equation has real roots
Hence, the discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions
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The triangle at top has a perimeter of 5, 12, and 13. The square has a perimeter of 29, 12, 29, and 12. If you add all those up you get 112
The first one is 135/999 and the second one is 282/999
You’re answer is c.49
i didn’t have to estimate because 21 times 49 gives you 1,029
Hope this is helpful!!!
Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need
to be true in order for an acute triangle to happen.
So,

Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,

We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9