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1 year ago

Kindly solve these questions for me.

Mathematics

1 answer:

OleMash [197]1 year ago

4 0

The perimeter of the rectangle based on the factors given is 46.

<h3>How to calculate the perimeter?</h3>

The area of the rectangle is given as (x² + 13x - 90). This will be:

= (x² + 13x - 90)

= x² + 18x - 5x - 90

= x(x + 18) - 5(x + 18)

= (x - 5)(x + 18)

The sides of the rectangle are 5 and 18. The perimeter will be:

= 2(l + w)

= 2(5 + 18)

= 46

The area of the rectangle is given as (x² + 24x - 81.

= (x² + 24x - 81)

= x² + 27x - 3x - 81

= x(x + 27) - 3(x + 27)

= (x - 3)(x + 27)

The sides are 3 and 27. The perimeter will be:

= 2(l + w)

= 2(27 + 3)

= 60

= (x + 1)² + 3(x + 1) + 2

= (x + 1)(x + 1) + 3x + 3 + 2

= x² + x + x + 1 + 3x + 5

= x² + 5x + 6

Learn more about factors on:

brainly.com/question/219464

#SPJ1

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36 points + brainliest for correct & explained answer :)

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When two triangles are similar, that means that the lengths of their sides are similar, meaning that if you were to multiply each side of one triangle by 'a magic number,' you would get the corresponding lengths of the other triangle. In this problem, the first step is to find the 'magic number.' Two sides that are corresponding are 6 and 8. Dividing them, we get that the magic number is 8/6 which is 4/3. That means to find the answer, we will have to multiply 9 by 4/3.
9 * 4/3 is 12, meaning that x is equal to 12 units.

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2 years ago

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Write a recursive formula for the arithmetic sequence:<br><br> 7,4,1,-2

zhuklara [117]

A1 = 7
a(sub)n = a(sub)n-1 - 3

(sub) indicates the values touching the parenthesis are written as a subscript.

The above would be the recursive formula as you are taking the previous number and subtracting 3 to get the next number in the sequence.

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A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$