All categories

2 years ago

The length of a rectangle is represented by 9x - 5. The width of the rectangle is represented by 3.

Mathematics

1 answer:

sineoko [7]2 years ago

8 0

Answer:

First factor the Area

Area = 18x2+12x+2

Factor out a 2

Area = 2(9x2+6x+1)

Factor this and you get

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

Let L be Length and W be Width

Area=LW

and the Length is twice the Width so

L=2W

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

L=2(3x+1)

W=3x+1

This can also be written as if you distribute the 2

L=6x+2

W=3x+1

You might be interested in

The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?

solmaris [256]

Answer:

Dividend

$=x^4 + 5 x^3 - 3 x - 15$

Divisor

$=x^3-3$

The rule of division of polynomial which is same as division of real numbers states that

Dividend = Divisor × Quotient + Remainder

The division process is shown below.

Quotient = x+5

Remainder =0

3 0

3 years ago

Read 2 more answers

H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?

zubka84 [21]

$H(x)=(x^2)+1\ \ \ \ and\ \ \ \ K(x)=-(x^2)+4. \\\\K(H)=-(H^2)+4=-(x^2+1)^2+4=4-(x^2+1)^2=\\\\.\ \ \ =2^2-(x^2+1)^2=(2-x^2-1)(2+x^2+1)=(1-x^2)(3+x^2)=\\\\.\ \ \ =(1-x)(1+x)(x^2-3\cdot i^2)=(1-x)(1+x)(x- \sqrt{3} \cdot i)(x+ \sqrt{3} \cdot i)\\\\ K(H)=0\ \ \ \ \Leftrightarrow\ \ \ (1-x)(1+x)(x- \sqrt{3} \cdot i)(x+ \sqrt{3} \cdot i)=0\\\\x=1\ \ \ \ or\ \ \ \ x=-1\ \ \ \ or\ \ \ \ x=\sqrt{3} \cdot i\ \ \ \ or\ \ \ \ x=-\sqrt{3} \cdot i\\\\Ans.\ e.$

4 0

3 years ago

Plane H is shown.<br> Which points are coplanar and noncollinear?

Natalka [10]

Answer:

Points A, C, and D are coplanar, and Point B is noncollinear.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In which quadrant does the point (13, 18) lie

Dahasolnce [82]

Answer:

Quadrant 1

Step-by-step explanation:

how I understood this is first understanding how a graph works. Once you understand that you can count 13 horizontal on the "X" Axis, then go 18 up on the "Y" axis. you should get a point in the upper left area and that area is called Quadrant 1. Say if 13 was negative instead of going horizontal east you would go horizontal west. And the point should end up in Quadrant 2. Any more questions feel free to ask me below.

8 0

2 years ago

3) g(x)= x3 + x<br> h(x) = x + 4<br> Find g(0)h(0)

Arte-miy333 [17]

Answer:

$goh(x)=x^3+12x^2+49x+68$