All categories

3 years ago

A rectangular painting has an area of (2x^2+ 8x+ 6) cm^2. Its length is (2x + 2) cm. Find the width of the painting.

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

Answer:

(x + 3) cm.

Step-by-step explanation:

Area = 2x^2 + 8x + 6

= (2x + 2)(x + 3)

The width = area / length

= (2x + 2) (x + 3) / (2x + 2)

= x + 3 cm.

You might be interested in

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

The library has at least 5,000 books.Which inequality represents the number of book,b,at the library

Scilla [17]

I need answer choices

3 0

3 years ago

(12)2what does it equal

julia-pushkina [17]

12 × 2 = 24

anything to ask please pm me

7 0

2 years ago

the density of a substance is 2.5 cm calculate the volume of the substance if its mass is 25.0 grams

sesenic [268]

Answer:

10 cm³

Step-by-step explanation:

The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.

Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:

d = m/v

2.5 = 25/v

Multiply both sides by v:

2.5v = 25

Divide by 2.5:

v = 25/2.5 = 10

Thus, the volume is 10 cm³.

7 0

2 years ago

PLEASE HELP FIGURE OUT HOW TO DO THIS! THANK YOU!

S_A_V [24]

Y=16 x=20
put these values in equation and see rifht or wrong

A) 16 ≠20*20 wrong
B) 16 ≠ (5/4)*20 - wrong
C) 16=(4/5)*20 - right
D) 16≠0.6*20
Answer: C) y=4/5*x

5 0

3 years ago

Read 2 more answers