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Tems11 [23]
2 years ago
15

Identify the number of solutions to the following system:

Mathematics
1 answer:
zalisa [80]2 years ago
7 0

Answer:

C

Step-by-step explanation:

Since these lines have the same slope and different y-intercepts, they are parallel lines. As such lines do not intersect, we can say that :

The system has no solutions.

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What is the perimeter of this pentagon?
exis [7]

Answer:

the perimeter of the Pentagon is 2.75cm

Step-by-step explanation:

add each side together in decimal form

8 0
3 years ago
A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr
Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N      Mass of the man,(m)= \frac{W}{g} = \frac{748}{9.8} = 76.32 kg

Radius of the pond (r) = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is V_m .

Now using law of conservation of momentum we can find the V_m value.

m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)

Considering V_m_(_f_)=V_m

And initial velocity of both the man and book i.e V_b_(_i_)=0,\ V_m_(i_)=0

So,

⇒ 0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m

⇒ Plugging the values.

⇒ V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}

⇒ V_m=-\frac{1.2\times 4}{76.32}

⇒ V_m=-0.062 ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, V_m = 0.062

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know velocity(v)\times time(t) = distance(d)

Let the time taken be t and v\times t = d and d=r then, V_m\times t=r

Then

⇒ t=\frac{radius\ (r)}{V_m}

⇒ Plugging the values.

⇒ t=\frac{4}{0.062}

⇒ t =64 sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0
3 years ago
A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below. Starter: bread
artcher [175]

Answer:

There are 15 combinations.

Step-by-step explanation:

A restaurant is offering a dinner special that includes one starter and one entree.

Starter: bread-sticks, soup, salad

Entree: beef, fish, chicken, shrimp, pork

So, we have 3 starters and 5 entrees.

To know the possible dinner special combinations we will simply multiply the two.

3\times5=15

Therefore, there are 15 combinations.

8 0
3 years ago
Read 2 more answers
Evaluate 68 x 71 mentally.
mezya [45]

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

6 0
3 years ago
Read 2 more answers
X + 2y = −4 please hurry
frozen [14]

Answer:

x = -2y - 4

Step-by-step explanation:

x + 2y = -4

Subtract 2y from both sides.

x = -4 - 2y

6 0
1 year ago
Read 2 more answers
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