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3 years ago

Can someone show me how to solve? please take a picture of results.

Mathematics

2 answers:

marshall27 [118]3 years ago

6 0

2x = 2√17 and 3x = 3√17

Step-by-step explanation:

Step 1: Given length of the rectangle is 3x and breadth is 2x. Area is 102 m². Area of the rectangle = length × breadth

102 = 2x × 3x = 6x²

x² = 102/6 = 17

x = √17

Length 2x = 2√17 and Breadth = 3x = 3√17

BaLLatris [955]3 years ago

6 0

Answer:

The answer to your question is 2x = 2 $\sqrt{17}$ and 3x = 3 $\sqrt{17}$

Step-by-step explanation:

Data

A = 102 m²

2x = ?

3x = ?

Formula

Area of a rectangle = base x height

Process

1.- Substitute values in the formula

102 = (2x)(3x)

2.- Simplify

102 = 6x²

102/6 = x²

17 = x²

x = $\sqrt{17}$

3.- Find 2x and 3x

2x = 2 $\sqrt{17}$

3x = 3 $\sqrt{17}$

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3 0

2 years ago

Can somebody help me with this?

icang [17]

We are given polynomial: $5x^3+8x^2-7x-6$ .

We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.

Let us set first factor equal to 0 and solve for x.

x+2=0

x=-2.

Plugging x=-2 in given polynomial, we get

$5(-2)^3+8(-2)^2-7(-2)-6 = 5(-8) +8(4)+14-6$

$= -40 +32+14-6$

$=0$

<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>

Now, let us check second factor x+1=0

x=-1.

Plugging x=-1 in given polynomial, we get

$5(-1)^3+8(-1)^2-7(-1)-6 = 5(-1) +8(1)+7-6$

=-5+8+7-6.

= -4.

<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>

7 0

2 years ago

Can someone show me how to solve? please take a picture of results.​

Can someone show me how to solve? please take a picture of results.