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Kruka [31]
3 years ago
14

Please Answers with steps...will be much appreciated!!!

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0
To solve the exercirses which are shown in the figure attached, you must follow the proccedure below:

 7) (x)=x³-6x²+8x
 (x)=x(x³-6x²+8)
 (x)=(x-4)(x-2)x

 The lenght is: x
 The height is= (x-4)

 8) √(2x+8)-6=4

1. You need to clear the variable "x". Then:

 √(2x+8)=4+6
 √(2x+8)=10
 (√2x+8)²=10²
 2x+8=100
 2x=100-8
 x=92/2
 x=46

 9) l4x+3l=9+2x

 1. To solve the left member, you must evaluate two cases: it could be positive,or negative. Then:

 2. Negative:

 l4x+3l=9+2x
 -4x-3=9+2x
 -4x-2x=9+3
 -6x=12
 x=12/-6
 x=-2

 3. Positive:

 l4x+3l=9+2x
 4x+3=9+2x
 4x-2x=9-3
 2x=6
 x=6/2
 x=3
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((2x^9)(y^n))((4x^2)(y^10))=(8x^11)(y^20)
tino4ka555 [31]

We are given

((2x^9)(y^n))((4x^2)(y^{10}))=(8x^{11})(y^{20})

Firstly, we simplify left side

Left side is

((2x^9)(y^n))((4x^2)(y^{10}))

we will make all x terms together

and y terms together

(2x^9)(4x^2)(y^n)(y^{10})

2\times 4(x^9)(x^2)(y^n)(y^{10})

8(x^9)(x^2)(y^n)(y^{10})

we can multiply left side by using exponent rule

a^m\times a^n=a^{m+n}

8(x^{9+2})(y^{n+10})

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now, we can set them equal

(8x^{11})(y^{n+10})=(8x^{11})(y^{20})

Since, both sides have x,y and 8

and both are equal

so, their exponent must be equal

so, exponent of y must also be equal

we get

n+10=20

n=10................Answer



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