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3 years ago

Which property best justifiies why the two expressions below are equivalent? 3(m+5)=3m+15

1 answer:

4 0

The answer is the distributive property because it states that if you have a number multiplied by a quantity, you can just multiply that number by each of the terms in the quantity. For example, a(x+y)=ax+ay.

Hope this helps!

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The diameter of a circle is 18 centimeters. What is the area? Give the exact answer in simplest form

alina1380 [7]

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

7 0

2 years ago

A delivery truck driver charges a fixed base price of $6 for 2 miles.

stiv31 [10]

Answer:

Option B.

Step-by-step explanation:

It is given that a delivery truck driver charges a fixed base price of $6 for 2 miles.

After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.

We need to describe the cost of the delivery truck between 1 mile and 2 miles.

In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.

From the given graph it is clear that the value of function is constant between x=1 and x=2.

It means the cost of the delivery truck between 1 mile and 2 miles is constant.

Therefore, the correct option is B.

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2 years ago

Select the employee who earns the most per hour.<br> Choose 1 answer

Gekata [30.6K]

What are the options

3 0

3 years ago

Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthono

In-s [12.5K]

Answer:

(i) See attached image file

(ii) Option A

Step-by-step explanation:

See attached image file

6 0

2 years ago

Graph the image of the given triangle after the transformation with the rule (x, y)→(x−6, y−4) .

zaharov [31]

Answer: See the figure attached.

Step-by-step explanation:

Observe the figure attached. The vertices of the triangle ABC have the following coordinates:

A(2,5); B(6,2) and C(3,-5)

To graph the image (in this case we can identify it as A'B'C'), you must use the rule $(x,y)$ → $(x-6,y-4)$ .

Then, you have to subtract 6 units from the x-coordinate of each vertex and subtract 4 units from the y-coordinate of each vertex.

Therefore, you get:

Vertex A'→ $(2-6,5-4)=(-4,1)$

Vertex B'→ $(6-6,2-4)=(0,-2)$

Vertex C'→ $(3-6,-5-4)=(-3,-9)$

Having the vertices of the image A'B'C', you can graph it (See the figure attached).

7 0

3 years ago