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2 years ago

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

Mathematics

1 answer:

sp2606 [1]2 years ago

7 0

Answer:

Step-by-step explanation:

A discriminate of -8 is never going to give you a real root. D is wrong

You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.

So the answer is B. You have 2 complex roots.

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

6 0

2 years ago

Please help so i can play my electronics

Maslowich

Answer:

All questions are answered in the photo, the answers are correct, but you might have a different method

8 0

2 years ago

the sum of 2 positive integers is 10. the difference of their reciprocals is 3/8. find both positive integers

Elena-2011 [213]

Answer:

The 2 integers would be: 2 and 8

Step-by-step explanation:

2 + 8 = 10

Reciprocal of 2: 1/2

Reciprocal of 8: 1/8

1 / 2 - 1 / 8 = 4/8 - 1/8 = <u>3/8</u>

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Reptile [31]

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ziro4ka [17]

Answer:

18.05

Step-by-step explanation:

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