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Harlamova29_29 [7]
3 years ago
8

The length of a rectangle represented by 4a plus 3B and it's width is represented by 3a minus 2b. Write a polynomial for the per

imeter of the rectangle. What is the minimum perimeter of the rectangle if a equals 12 and b equals a non zero number?
Mathematics
1 answer:
Svetach [21]3 years ago
7 0
The polynomial for the perimeter starts from the formula for the perimeter of a rectangle as written below:

Perimeter = 2L + 2W = 2( L + W)
Perimeter = 2(4A + 3B + 3A - 2B)
Perimeter = 2(7A - B)
Let perimeter be P,
P = 14A - 2B  --> this would be the polynomial

Let's substitute A=12 to the polynomial:
P = 14(12) - 2B = 168 - 2B
To determine the minimum P, set it to 0.0001.
0.0001 = 168 - 2B
B = 83.999 or 84

Thus, the minimum perimeter is achieved if the value of B approached to 84.

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kolezko [41]

Answer:

y-(-1)=2/3(x-5)

Step-by-step explanation:

Point slope form is

y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.

Substituting, we get

y-(-1)=2/3(x-5)

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3 years ago
A High School booster club sets up an academic scholarship that is awarded to one student each year. The formula y=2700x can be
djyliett [7]

Answer:

$32,400

Step-by-step explanation:

We can just replace 12 for x in the equation y = 2700x

y = 2700x

y = 2700(12)

y = 32,400

The money paid after 12 years is $32,400

-Chetan K

4 0
3 years ago
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a kitchen is shaped like a rectangle with dimensions of 4ft by 7ft. The floor of the rooms is made up of square tiles with a sid
Darina [25.2K]

Answer:

112 tiles

Step-by-step explanation:

Area = 28ft sq

Tiles are 1/4 each sqft

We are working cube square inside cube ft square = 1 sq /4 (for multiplier).

= 4 x 28 = 112

112 x 0.25 = 28 to check.

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ANSWER ASAP GIVING BRAILIEST AND STUFF!
natita [175]

Answer:

24s^2, 54s^2, 96s^2

Step-by-step explanation:

Let s represent the initial side length of the cube.  Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).

a) Now suppose we double the side length.  The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),

b) tripled:  A = 6(3s)^2 = 54x^2

c) quadrupled?  A = 6(4s)^2 = 96s^2

6 0
3 years ago
A function f is defined by f(x) = 2x - 3. By writing the full working, write the values of (a) f(0) (b) f(-2) (c) f(3) (d) f(-1)
AlladinOne [14]
A) f(x) = 2x - 3
f(0) = 2(0) - 3
f(0) = 0 - 3
f(0) = -3

b) f(x) = 2x - 3
f(-2) = 2(-2) - 3
f(-2) = -4 - 3
f(-2) = -7

c) f(x) = 2x - 3
f(3) = 2(3) - 3
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d) f(x) = 2x - 3
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f(-1) = -2 - 3
f(-1) = -5
6 0
3 years ago
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