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Andru [333]
3 years ago
14

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Mathematics
2 answers:
Margarita [4]3 years ago
4 0

Answer:

The correct option is C.

Step-by-step explanation:

Given information: One side of the rectangle is (5x+2) and another sides of rectangle is (x-4).

The area of rectangle is

A=length \times width

Substitute length = (5x+2) and width = (x-4) in the above formula, to find the simplified polynomial expression in standard form to represent the area of the rectangle.

A=(5x+2)\times (x-4)

Using distributive property,

A=5x(x-4)+2(x-4)

A=5x(x)+5x(-4)+2(x)+2(-4)

On simplification we get

A=5x^2-20x+2x-8

On combining like terms we get

A=5x^2+(-20x+2x)-8

A=5x^2+(-18x)-8

A=5x^2-18x-8

Therefore the correct option is C.

motikmotik3 years ago
3 0
(5x+2)(x-4
5x (x)+2(x)+5x (-4)+2 (-4)
5x^2+2x-20x-8
5x^2-18x-8
C. 5x^2-18x-8
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6 0
1 year ago
Write the Standard Form equation of a line with slope 8/7 and has a y− intercept of 5 .
Leni [432]

Answer:

y=8/7x+5

Step-by-step explanation:

y=mx+b but m is your slope and b is your y intercept.

6 0
3 years ago
[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E​
Alex_Xolod [135]

Answer:

Point C

Step-by-step explanation:

We want to reflect across the x axis

That means the y coordinate changes sign

Z = ( 5 1/2 , 3)

Z' = ( 5 1/2 , -3)

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8 0
3 years ago
-3(1+6r)+12=14. solve for r
emmasim [6.3K]

Answer: r = -5/18


Step-by-step explanation: You solve -3(1+6r)+12=14

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6 0
3 years ago
Read 2 more answers
Determine the shaded area. This figure is not drawn
AleksAgata [21]

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Given that a unshaded rectangle is inscribed in a shaded circle.

  • Diameter of the circle d = 13m
  • Radius r = d/2 = 13m/2 = 6.5m
  • Dimension of length of the rectangle l = 12m
  • Dimension of width of the rectangle w = 5m
  • Area of the shaded region As = ?

First we calculate the area of the shaded circle.

A = πr² =  π × ( 6.5m )²

A = 132.665m²

Area of the shaded circle is 132.665m².

Area of the unshaded rectangle will be;

A = l × w

A = 12m × 5m

A = 60m²

Area of the unshaded rectangle is 60m².

Now, area of the shaded region will be;

= Area of the shaded circle - Area of the unshaded rectangle

= 132.665m² - 60m²

= 132.665m² - 60m²

= 72.67m²

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Learn more about area polygons here: brainly.com/question/22590672

#SPJ1

8 0
2 years ago
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