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Masja [62]
3 years ago
12

What the missing term is

Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)

Step-by-step explanation:

The sum of the two roots is ...

... (5 -3i) +(5 +3i) = 10

In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.

_____

<em>How Do We Know?</em>

When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...

... (x -a)(x -b) = x² -(a+b)x +ab

Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.

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Step-by-step explanation:

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Help!!!! 100 POINTS (FIRST CORRECT ANSWER GETS BRAINLIEST)
sashaice [31]

Answer:

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Step-by-step explanation:

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2 years ago
W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3
Novosadov [1.4K]

Answer:

<h2>VX = 26</h2>

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

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2x = 4x - 8       <em>subtract 4x from both sides</em>

-2x = -8        <em>divide both sides by (-2)</em>

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

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There were 700 people in the auditorium. 60% of them were adults and the rest were children. how many adults were in the auditor
ollegr [7]

.60 \times 700 = 420 \\ 700 - 420 = 280
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