All categories

2 years ago

Write a polynomial in standard form that represents the area of the shaded region.

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

Area of rectangle is $2x^2+x-45$

Step-by-step explanation:

Given:

Length of rectangle = 2x-9

Width of rectangle = x+5

Required:

Area of rectangle

Formula:

$Area\,\,of\,\,rectangle=Length*Width$

Putting values of length and width:

$Area\,\,of\,\,rectangle=Length*Width\\Area\,\,of\,\,rectangle=(2x-9)(x+5)\\Area\,\,of\,\,rectangle=2x(x+5)-9(x+5)\\Area\,\,of\,\,rectangle=2x^2+10x-9x-45\\Area\,\,of\,\,rectangle=2x^2+x-45$

So, Area of rectangle is $2x^2+x-45$

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

You might be interested in

June Russell, who has a checking account at Gravy Train Bank, is writing a check to Stanley Lawrence, who has a checking account

Law Incorporation [45]

Stanley Lawrence is the correct answer

4 0

2 years ago

Read 2 more answers

What is the area of a triangle with a base of 7 mm and a height of 10 mm

galina1969 [7]

Answer:

A≈3.5×10-5m²

Step-by-step explanation:

5 0

2 years ago

What is 5q-4p+6=4q-8

seraphim [82]

Answer:

q=4p-14

Step-by-step explanation:

5q-4p+6=4q-8

5q-4q-4p=-8-6

q-4p=-14

q=-14+4p

q=4p-14

7 0

2 years ago

Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4

Alina [70]

equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of (-9,-8) and (7,-4)

midpoint formula is

$\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}$

$\frac{-9+7}{2} ,\frac{-8+-4}{2}$

midpoint is (-1, -6)

Now find the slope of the given line

(-9,-8) and (7,-4)

$slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}$

$slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}$

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

slope = -4 and midpoint is (-1,-6)

y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10

3 0

2 years ago

You are Christmas shopping and your bill at the register is $130. You have two coupons, but you are only allowed to use one. Cou

Marta_Voda [28]

Answer:

the answer is 10 percent off because that is 13 dollars

Step-by-step explanation:

if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off

4 0

2 years ago