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jeka94
3 years ago
11

Question 2 please fas

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

{x}^{3}  + (a + b) {x}^{2}  - 4x + 2 \\  =  {x}^{3}  + 5 {x}^{2}  - (2a - b)x + 2 \\  \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2}  = 5 {x}^{2}   \\  \implies \: a + b = 5.....(1) \\  \\  - (2a - b)x =  - 4x \\ 2a - b = 4....(2) \\  \\ adding \: equations \: (1) \: and \: (2) \\  \\ 3a = 9 \\   \implies \: a =  \frac{9}{3}  \\   \huge \red{ \boxed{\implies \: a = 3}} \\  \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\   \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies  b = 2}}

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Answer:

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Step-by-step explanation:

<u>Equations</u>

To solve the problem, we need to recall the area of a trapezium is:

\displaystyle A=\frac{b1+b2}{2}.h

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

\displaystyle \frac{x+2x}{2}\cdot 100=10500

Simplifying:

\displaystyle (3x)\cdot 50=10500

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8 0
2 years ago
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Step-by-step explanation:

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5 0
3 years ago
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galben [10]
Find both roots :
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BlackZzzverrR [31]

Answer:

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Step-by-step explanation:

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2 years ago
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NikAS [45]

Answer:

the correct options are:

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Step-by-step explanation:

Given that a line passes through two points

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Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

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First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

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So, the correct options are:

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8 0
3 years ago
Read 2 more answers
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