If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Mathematics

1 answer:

lana66690 [7]2 years ago

8 0

Answer:

Since -8<0 then the roots α and β of the quadratic equation ax^2 + bx + c = 0 are unequal and imaginary: α and β are a pair of the complex conjugates.

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Determine whether the fractions 3 4 and 4 5 are equivalent. Question content area bottom Part 1 Select the correct choice below

VMariaS [17]

Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is  15  , which is not equal to the product of the numerator of the second fraction and the denominator of the first fraction  16 

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Explanation:

We have the template $\frac{P}{Q} = \frac{R}{S}$ which cross multiplies to $PS = QR$

So if $\frac{3}{4} = \frac{4}{5}$ was true, then $3*5 = 4*4$ must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, $3*5 = 4*4$ turns into $15 = 16$ which is a false statement. So the original claim that $\frac{3}{4} = \frac{4}{5}$ is also false.

5 0

2 years ago

The perimeter of the isosceles triangle shown is 53 cm. What is the value of x?

dangina [55]

Answer:

21 cm

Step-by-step explanation:

Since this is an isosceles triangle, the two sides with a line through them must have the same value of x. Therefore, you can set up the following equation:

2x+11=53

2x=42

x=21 cm

Hope this helps!

7 0

3 years ago

Read 2 more answers

Convert 2/5

netineya [11]

The answer is b) 40%

8 0

3 years ago