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3 years ago

Use the Distributive Property to simplify the expression. 2w+4+13w+1=

Mathematics

1 answer:

coldgirl [10]3 years ago

6 0

Answer:

15w+5

How I did it:

add 2 and 13 and put the "w" after the answer which is 15. Then add 4 and 1. That is 5 so then it is 15w+5.

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15. The table below shows the various ways

Kipish [7]

Answer:

45 %

Step-by-step explanation:

$\begin{array}{lc}\textbf{Method} & \textbf{Number}\\\text{Walk} & 36 \\\text{Bus} & 26 \\\text{Car} & 18 \\\text{TOTAL} & \mathbf{80} \\\end{array}\\\text{Percent of walkers} = \dfrac{36}{80} \times 100 \% = \mathbf{45 \, \%}$

7 0

3 years ago

Read 2 more answers

polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0

3 years ago

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

larisa86 [58]

ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

$Area = \frac{1}{2} \times base \times height$
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.

$\sin(68 \degree) = \frac{height}{20 }$

$height = 20 \sin(68 \degree)$

$height = 18.54$

We now plug in the values in to the formula to obtain,

$Area = \frac{1}{2} \times 12 \times 18.54$

$Area = 111.3 \: square \: units$

See graph

7 0

3 years ago

Read 2 more answers

Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.

fiasKO [112]

Answer:

zhdhsgscsisgege8djdhshsyw7273yeh3737eyd

3 0

3 years ago

What is the perimeter

Westkost [7]

Answer:

The answer to your question is: letter D

Step-by-step explanation:

First we need to find the distances between the points,

distance AB = 8 get it just by counting the points in the graph

distance AC = 9 get it just by counting the points in the graph

To know the distance BC, use the pythagorean theorem

c2 = a2 +b2

c2 = 8² + 9²

c² = 64 + 81

c² = 145

c = 12.04

Finally, perimeter = AB + AC + BC

= 8 + 9 + 12.04

= 29.04 units

7 0

3 years ago

Read 2 more answers