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denis-greek [22]
2 years ago
15

Kindly solve these questions for me.

Mathematics
1 answer:
OleMash [197]2 years 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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Ludmilka [50]
The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.

This is the form of the inequality:

(total cost) [less than or equal to] $80
(rent) + (cost per guest)(number of guests) [less than or equal to] $80
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Simplify.  To do this, subtract $45 from both sides of this inequality.

Divide both sides of the resulting inequality by $5.50.

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3 0
3 years ago
Solve for x in the following equation.
KonstantinChe [14]

Hello,

3 {}^{a}  = 3 {}^{b} \Leftrightarrow \: a = b

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5 0
2 years ago
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14
liraira [26]

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

5 0
3 years ago
3. Use a proportion to find the distance across the water from C to D.
sattari [20]

Answer:

35m

Step-by-step explanation:

Triangle 1 has an 8:20 ratio which can be simplified to 2:5 ratio

so We can apply this to 14

(14/2) * 5

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-- Gage Millar Algebra 1/2 tutor

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yan [13]

Answer:

C. ≥

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Values of y on or above the line are "greater than or equal to" those on the line. The inequality will have the form ...

y ≥ (expression for the line)

4 0
3 years ago
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