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murzikaleks [220]
3 years ago
10

Solve using substitution. -5x + 10y = -10 y = -2

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

Point Form:

( − 2 , − 2 )

Equation Form:

x =  − 2 ,  y =  − 2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO tan 65 = \frac{h}{45-x} = 2.14

h=2.14(45-x)

From ΔBCO tan80 = \frac{h}{x} = 5.67

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Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

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x = 96.3/7.81 = 12.33 ft

Therefore cos80 = \frac{x}{OB}

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OB = \frac{12.33}{.174}=70.86=71ft.

Therefore 71 ft is the distance between B and the top of the hill.

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