Can someone please help!!!!!

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

Answer:

The answer is 10%

Step-by-step explanation:

Let the length of the rectangle is x

Let the width of the rectangle is y

∵ They will increase by 10% each

∴ The new length = x × 110/100 = 1.1x

∴ The new width = y × 110/100 = 1.1y

∵ The old perimeter = 2(x + y) = (2x + 2y)

∴ The new perimeter = 2(1.1x + 1.1y) = 1.1(2x +2y)

∴ The new perimeter is greater than the old perimeter by 1.1 - 1 = 0.1

∴ The percentage of increasing in the perimeter = 0.1 × 100 = 10%

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Hey! Can someone check my answers?

Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is A. 5y^6

$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is D. 12xy^2

$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

3 0

3 years ago

What is the value of 3x+3y?

NNADVOKAT [17]

Answer:

3(x+y)

Step-by-step explanation

this is the right answer