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Masja [62]
4 years ago
12

What the missing term is

Mathematics
1 answer:
arlik [135]4 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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A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?
Tems11 [23]

Answer:

Nope

Step-by-step explanation:

To now if a triangle is a right angle, use Pythagoras Theorem,

a^2 + b^2 = c^2

C usually be the longest side of the triangle, C = 17

Then also let a and b be 6 and 13 respectively.

6^2 + 13^2 =205

C^2 = 205

C = sqrt(205) = 14.32

therefore no this is not a right angle triangle

4 0
3 years ago
Can someone please help me, i've been stuck on this for the longest please someone!
Nana76 [90]
Remember
∛(xy)=(∛x)(∛y)

3rd power
factor inside and group


384=2*2*2*2*2*2*2*3=2^3*2^3*2*3=2^3*2^3*6
∛384=(∛2^3)(∛2^3)(∛6)=(2)(2)(∛6)=4∛6

C
7 0
3 years ago
Hey, can I get help with this question?:
iVinArrow [24]
1x x 1x x1x is the answer
7 0
3 years ago
Read 2 more answers
A biologist counted 10,000 migrating monarch butterflies. How do you express 10,000 as a power of 10?
dmitriy555 [2]
4 to the power of ten
4 0
3 years ago
Read 2 more answers
Put in a new
mr_godi [17]

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

3 0
3 years ago
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