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3 years ago

Select the correct answer. What is the greatest common factor of this expression? 12m + 18m2 A. 6m B. 6 C. 2m D. 2

Mathematics

2 answers:

ohaa [14]3 years ago

7 0

A. No matter what M is, it will correspond to the squared version of 18m

exis [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the win

Andre45 [30]

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

$a^{2} +b^{2} =c^{2}$

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

$a^{2} +4^{2} =5^{2}$

Simplify it

$a^{2} +16=25$

Subtract both sides 16

$a^{2} =9$

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

5 0

2 years ago

A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the

frutty [35]

The length and breadth(width) of the pool are

$l\approx15.7m\text{ and }b\approx7.7m$

Let

$l=\text{length of the side of the pool}\\b=\text{breadth of the pool side}\\w=\text{the width of the strip of deck surrounding the pool}$

From the question, we can build the following relationships

$l+2w=20\\b+2w=12$

subtracting to eliminate $w$ (we do not even need it!)

$l-b=8\\b=l-8$

we can also build another relationship from the question. Since the area of the strip equals the area of the pool:

$lb+lb=2lb=20\times 12\\lb=120$

We have two unknowns, $l$ and $b$ . Eliminate $b$

$lb=120\\l(l-8)=120\\l^2-8l-120=0$

If we solve the quadratic equation for $l$ , we get

$l=4+2\sqrt{34}\approx 15.7m$

and

$b=l-8\\b=(4+2\sqrt{34})-8\\b=2\sqrt{34}-4\approx7.7m$

The length and breadth(width) of the pool are

$l\approx15.7m\text{ and }b\approx7.7m$

Learn more about area here: brainly.com/question/1447350

7 0

2 years ago

Why isn't D the answer? Isn't it also positive and concave up?

ArbitrLikvidat [17]

Step-by-step explanation:

At d, f'(x) is increasing (concave up), but it is not positive. The tangent line at that point has a negative slope.

7 0

3 years ago

Solve the<br> equation:<br> X/2=17

Lorico [155]

Answer:

x=34

Step-by-step explanation:

$\frac{x}{2}=17\\x=2*17\\x=34$

4 0

3 years ago

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Somebody please help me!!!

goldfiish [28.3K]

Answer:

Step-by-step explanation:

(2,4)

7 0

2 years ago

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