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3 years ago

Which of the following statements is true

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

Answer:

c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

a. This quadratic equation has exactly one real solution.

b. This quadratic equation has two real solutions.

c. This quadratic equation has two complex solutions.

d. This quadratic equation has no solutions.

The one that is true is <em>c: two complex solutions</em>.

The discriminant of quadratic ax^2 +bx +c = 0 is ...

d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

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user100 [1]

Answer:

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3 years ago

What’s the height of the can?

kondaur [170]

Answer:

5 inches

Step-by-step explanation:

The formula to find the surface area of a cylinder is A = 2πrh + 2πr²

Since we need the height we will need to solve for h

First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
Then we can divide both sides by 2πr to get $h=\frac{A-2\pi r^{2} }{2\pi r}$

Now we can plug in our known values and solve for h

Here we were given the diameter, d, however this formula is in terms of the radius, r.
The diameter is equivalent to double the radius, d = 2r
Therefore the radius is equivalent to half the diameter, $r=\frac{1}{2} d$
Plugging in d to solve for r we get $r=\frac{1}{2}(2)$ which simplifies to r = 1

The two variables for this equation we have no obtained, A = 12π and r = 1, so we can plug them into our equation to solve for the height

$h=\frac{12\pi -2\pi (1)^{2} }{2\pi (1)}=h=\frac{12\pi -2\pi }{2\pi }=\frac{10\pi }{2\pi } =5$
The height is 5 inches

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3 years ago

What is the value of this expression when b=5 <br> 6(2b-4)

REY [17]

Remember distributive property

6(2b-4)
6(2(5)-4)
6(10-4)
6(6)
36

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3 years ago