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aleksklad [387]
3 years ago
13

Which statement is true?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

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56/1 x 11/8 here is the equations now just multiply them
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3 years ago
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A line includes the points 2, 10 and 0, 2 what is its equation in slope intercept form ​
IRINA_888 [86]

Answer:

y = -4x + 2

Step-by-step explanation:

y = mx + b ( slope-intercept)

1. Find Slope:

\frac{y^2 - y^1}{x^2 - x^1}

Lets name 2 as y2 and 10 as y1. And 0 as x2 and 2 as x1.

\frac{2-10}{0-2}  =  \frac{-8}{2} = -4

m/slope = -4

2. Find y-intercept:

y = mx +b

2 = -4(0) + b

= 2 = b

Y-intercept/b = 2

3. Put into slope-intercept form:

y = mx + b

= y = -4x + 2

Hope that helps! :D

4 0
3 years ago
Theater m has 25 rows with 27 seats in each row. how many of the seats were occupiedduring a certain show?(1) during the show, t
Elis [28]
1) 475
2)375
You need to multiply 25 by 27 and you get 675 then to get answer one you need to multiply 10 by 20 to get 200 the take 200 away from 675 to get 475 then do the same thing with the second problem 20x15 which is 300 the take 300 away from 675.
5 0
3 years ago
Solve for x if the Perimeter = 26<br> 14-2x<br> 2x + 1<br> 3x - 1
sergejj [24]

Answer:

x = 4

Step-by-step explanation:

<em>Perimeter of triangle = sum of all sides</em>

Side 1: 14 - 2x

Side 2: 3x - 1

Side 3: 2x + 1

<em>Perimeter= side 1 + side 2 + side 3</em>

26 = 14 - 2x + 3x - 1 + 2x + 1

26 = 14 - 1 + 1 - 2x + 3x + 2x

26 = 14 + 3x

3x = 12

x = 12/3

x = 4

!!

3 0
3 years ago
A circle has a radius that is 4 centimeters long. If a central angle has a measure of 3 radians, what is the length of the arc t
kirill115 [55]
The total length of the circle is calculated by the following formula:

Lenght = 2.π.r

As r = 4c

Then,

Lenght = 2.π.4

Lenght = 8π centimetrs

Now use the rule of 3


But we have to know:

...<..> ...

Then,

8π ________ 2π <= 360°

x ________ 3π


2π . x = 8π . 3π

x = (8π . 3π) / 2π

x = (8 . 3π)/ 2

x = 12π centimenters

x ~ 37,69 c
4 0
3 years ago
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