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lisabon 2012 [21]
3 years ago
13

What is the solution to the system of equations shown in the graph?

Mathematics
2 answers:
Helen [10]3 years ago
7 0

Answer:

B) (-2,1)

Step-by-step explanation:

The solution is where the two lines intersect, in this case at (-2,1)

Hope this helps! :)

lutik1710 [3]3 years ago
3 0

Answer:

B) (-2, 1)

Step-by-step explanation:

2 units left from the origin

So x = -2

1 unit up

So y = 1

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In AWXY, m_W = (10x +17), m_X = (2x – 9)", and m_Y = (3x + 7)º.<br> Find mZY
ella [17]

Answer:

m\angle Y=40^\circ

Step-by-step explanation:

Suppose we have a triangle WXY whose internal angles are:

m\angle W = 10x+17

m\angle X=2x-9

m\angle Y=3x+7

The sum of the measures of the angles must be 180°, thus:

10x+17 + 2x-9+3x+7=180

Simplifying:

15x + 15 = 180

Subtracting 15:

15x = 165

Dividing by 15:

x = 11

Thus, the measure of angle Y is

m\angle Y=3x+7=3*11+7=33+7=40

\mathbf{m\angle Y=40^\circ}

8 0
2 years ago
A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad
pychu [463]

Answer:

48 feet

Step-by-step explanation:

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

AB/FD = BC/DE --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

AB/4 = 36/3

AB = 12

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Hence, the height of the lighthouse is 48 feet.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

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HH, HT

Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.

In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;

TH, TT

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Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;

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