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Svetlanka [38]
3 years ago
12

Factor completely x3 − 2x2 − 5x + 10.

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

(x-2) (x^2 -5)

Step-by-step explanation:

x^3 − 2x^2 − 5x + 10

We will factor by grouping

Take and x^2 out of the first two terms and  -5 out of the last two terms

x^2 (x-2) -5(x-2)

Now we can factor out (x-2)

(x-2) (x^2 -5)

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Rob and Matt made 55 cups of lemonade
notka56 [123]

Answer:

Rob made 31, and Matt made 24

Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

5 0
3 years ago
Read 2 more answers
How do I solve this?
Sonbull [250]

The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.

sec(<em>x</em>) = csc(<em>x</em>)

By definition of secant and cosecant,

1/cos(<em>x</em>) = 1/sin(<em>x</em>)

Multiply both sides by sin(<em>x</em>) :

sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)

As long as sin(<em>x</em>) ≠ 0, this reduces to

sin(<em>x</em>)/cos(<em>x</em>) = 1

By definition of tangent,

tan(<em>x</em>) = 1

Solve for <em>x</em> :

<em>x</em> = arctan(1) + <em>nπ</em>

<em>x</em> = <em>π</em>/4 + <em>nπ</em>

(where <em>n</em> is any integer)

In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of

<em>x</em> = <em>π</em>/4   <u>or</u>   <em>x</em> = 5<em>π</em>/4

5 0
2 years ago
Please help me I got it wrong and I need to correct it
Scorpion4ik [409]
The answer is correct , 5/8 is greater than 3/8 (:
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3 years ago
ABCD is a isosceles trapezoid with AB=10, DB=8 and angle A=120 degrees what is the length of CD
spin [16.1K]

Answer:

The answer is 10.6 (I'm sorry if it's wrong)

Step-by-step explanation:

found out what D and B is (they both are 4 I think) then add 10 with 8 then divide 120 with 18 which is 6.6 then add what D is and then I got 10.6

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3 years ago
I need to know what 8(ii) because I don’t know the method
Irina18 [472]
Notice y° and y° and 50°, are all three angles in a flat-line, namely "linear angles", and since a flat-line is always 180°.

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3 years ago
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