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Annette [7]
3 years ago
5

What is are if a rectangle of length of 5 and width of 3x-5y+6What is the area of a rectangle with a length of 5 and a width of

3x-5y+6
Mathematics
1 answer:
lawyer [7]3 years ago
6 0

The area of rectangle is 15x - 25y + 30 sqaure units

<em><u>Solution:</u></em>

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

<em><u>The area of rectangle is given by formula:</u></em>

Area = length \times width

From given,

Length = 5

Width = 3x - 5y + 6

<em><u>Substituting the values in formula, we get,</u></em>

Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30

Thus area of rectangle is 15x - 25y + 30 sqaure units

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Find all the zeros of the function <br> g(x)=x^3-4x^2-x+22
vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

g(-1) = 18

g(1) = 18

g(-2) = 0

g(2) = 12

g(-11) = 1782

g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

5 0
3 years ago
Translate the verbal phrase into an algebraic expression. Simplify the expression.
adoni [48]
X(x+6)
hope that helps :)
7 0
3 years ago
Evaluate the expression if x=9 and y=2
fgiga [73]

Answer:

47

Step-by-step explanation:

x=9 y=2 5x+y= so you need to multiply x (9) by 5 9x5= 45 45+2=47

4 0
2 years ago
Read 2 more answers
A=3b+4c-a is this a litteral equation
tino4ka555 [31]

Answer:

a= 3b+4c/2

Step-by-step explanation:

2a=3b+4c

a= 3b+4c/2

6 0
3 years ago
I've been trying for 3 hours to answer these problems please help!!
Simora [160]

Answers:

77 = 8.8

23 = 4.8

31 = 5.6

46 = 6.8

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53 = 7.3

108 = 10.4

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4 0
3 years ago
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