What is the perimeter of the rectangle?

Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of

inn [45]

Answer:

A .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.

Step-by-step explanation:

p = 8l + 2

Length = l

Width:

2w = p - 2l

2w = (8l + 2) - 2l

2w = 6l + 2

w = 3l + 1

Therefor w is 3 times the length plus 1

7 0

3 years ago

What is the correct classification of the system of equations below? 14x + 2y = 10 y + 7x = -5 parallel coincident intersecting

marissa [1.9K]

In standard form the two equations are
7x +y = 5
7x +y = -5

The equations describe lines that are parallel.

5 0

3 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

nalin [4]

1689.32 hope this helps

6 0

3 years ago

Read 2 more answers

Find the quadratic function that has a vertex at (3,4) and goes through the point (0,13).

vladimir2022 [97]

Answer:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Step-by-step explanation:

PLZ MARK ME BRAINLYIST

4 0

3 years ago

The dot plot displays the number of marshmallows added to hot cocoa by several kids. What is the MAD of the data represented in

Pie

Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

Find the mean of the data set
Find the absolute distance of each element from the mean
Find the average distance of all the elements which will be MAD of the data set.

Step - 1 :

Mean of the data set = $\frac{\text{Total of the data}}{\text{Total number of elements}}$

= $\frac{3+4+5+5+5+5+5+5+6+7}{10}$

= $\frac{50}{10}$

$=5$ (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

3 - 5 = |-2| = 2

4 - 5 = |-1| = 1

5 - 5 = 0

6 - 5 = 1

7 - 5 = 2

Step - 3 :

Average of the absolute distance = $\frac{2+1+0+0+0+0+0+0+1+2}{10}$

= $\frac{6}{10}$

= 0.6

Therefore, Option A will be the correct option.

Learn more,

brainly.com/question/24378074

4 0

3 years ago