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Arada [10]
2 years ago
9

The length of a rectangle is given by the function l(x)=2x+1, and the width of the rectangle is given by the function w(x)=x+4.

Mathematics
2 answers:
Harlamova29_29 [7]2 years ago
7 0

Answer:

a(x)=2x^2+9x+4

Step-by-step explanation:

We have been given the length and width, as well as the formula to find the area:

Length: 2x + 1

Width: x + 4

A = l * w

A = (2x + 1)(x + 4)

2x^2 + 8x + x + 4

We can add like terms now:

2x^2 + 9x + 4

Our area is 2x^2 + 9x + 4

Our answer would be a(x)=2x^2+9x+4

Hunter-Best [27]2 years ago
5 0

Answer:

The correct answer is third option

a(x) =  2x² + 9x + 4

Step-by-step explanation:

It is given that,the length of a rectangle is given by the function l(x)=2x+1, and the width of the rectangle is given by the function w(x)=x+4.

<u>To find the area of the rectangle</u>

Area of rectangle = Length * Breadth

a(x) = l(x) * w(x)

 = (2x + 1)(x + 4)

 = 2x² + 8x + x + 4

 = 2x² + 9x + 4

The correct answer is third option

a(x) =  2x² + 9x + 4

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Can someone explain the quadratic formula please?
brilliants [131]

Answer:

While factoring may not always be successful, the Quadratic Formula can always find the solution. The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

source from: https://www.purplemath.com/modules/quadform.htm

your welcome!

6 0
2 years ago
What is the surface area of the prism in square feet?
frutty [35]

The surface area of the rectangular prism is 52 square feet (ft^{2}), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

          The given is,

                    A rectangular prism of

                     Let, h - height of the rectangular prism

                            w - Width of the rectangular prism

                            d - Depth of the rectangular prism

Step:1

        From given,

                     h = 4 feet

                     w = 3 feet

                     d = 2 feet

Step:2

        Formula to calculate the surface area of the rectangular prism is,

                      A = 2 (wd+hd+hw)

       Substitute the values of w,d and h

                           = 2 [(3×2) + (4×2) + (4×3)]

                           = 2 (6+8+12)

                           = 2 × 26

                           = 52

                       A = 52 Square feet

Result:

        Thus the surface area of the rectangular prism is 52 square feet (ft^{2}), if the height is 4 feet, width is 3 feet and depth is 2 feet.

3 0
3 years ago
What is the distance between the y-intercepts of the lines? Adding a picture please help
DerKrebs [107]

The equation of a line is:

y = mx + c

The m is the gradient of the line, and the c is the y-intercept of the line

That means that the y-intercept of [y = -4x + 3]  is 3

and the y-intercept of [y = -4x + 4] is 4

So the distance between the two y-intercepts is:

4 - 3 = <u>1</u>

6 0
3 years ago
make up an equation in the form of an y=kx +b, the graph which passes through the following points: (5,5) and (-10,-19)
Oksana_A [137]

Answer:

y = 8/5x - 3

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(-19 - 5) / (-10 - 5)

-24 / -15

= 8/5

Plug in the slope and a given point into y = mx + b, and solve for b

y = mx + b

5 = 8/5(5) + b

5 = 8 + b

-3 = b

Plug in the slope and b into y = mx + b

y = 8/5x - 3

So, the equation is y = 8/5x - 3

8 0
3 years ago
A few years ago, when the fuel tank in Sally’s car was completely empty, she paid $63 to fill the tank with 22.5 gallons of gaso
Aloiza [94]

Answer:

2.8

Step-by-step explanation:

ur welcome i hope this helps

8 0
3 years ago
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