All categories

3 years ago

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

D. $3x + 1$

Step-by-step explanation:

Perimeter of Rectangle ABCD = $9x + 3$

Perimeter of Rectangle PQRS = $6x + 2$

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

$(9x + 3) - (6x + 2)$

Open Parentheses

$9x + 3 - 6x - 2$

Collect like terms

$9x - 6x + 3 - 2$

$3x + 1$

You might be interested in

If the point (x,y) is on the x-axis is it x=0 y=0

monitta

Answer:

You know that y must have to equal 0. x can be anything though.

Step-by-step explanation:

The x-axis is a straight line in the center of the y-axis where y = 0.

3 0

3 years ago

31. Each day, Talisa exercises by first

GaryK [48]

Answer:

Step-by-step explanation:

Given the following :

Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9

Total time - - - 25 - - 28 - - 29 - - 30 - - 32

Using online graphing tool:

The y - axis named dependent variable represents the total time taken.

The x-axis, represents the number of laps.

The equation of the trend line attached to the plot is in the form :

y = mx + c

y = 1.6x + 17.6

Where y = total time taken

x = number of laps

m = 1.6 = gradient of the line (change in y / change in x)

C = 17.6 = intercept (whee the trndline intersects the y-axis).

5 0

4 years ago

M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x

liberstina [14]

Answer:

freeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

trump 20202020202020020202020

6 0

3 years ago

Read 2 more answers

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

4 years ago

G(x) = x - 6<br> If the opposite of g(x) is-g(x),<br> then--g(x) =

Burka [1]

Answer:

--g(x) = g(x) = x - 6

Step-by-step explanation:

The opposite of the opposite is the original.

5 0

3 years ago

Read 2 more answers