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d1i1m1o1n [39]
3 years ago
12

Find the domain of - y/(y-6) +15/(y+6) - y-10/y^2+3

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

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Which statements are true about the dollhouses? Select three options.
IceJOKER [234]

The statements that are true about the dollhouses is: 1,4,5.

<h3>True statement about dollhouse</h3>

The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).

Space inside dollhouse 1:

V = 6 (6) (5) + 1/2 (6) (6) (4)

V=180+72

V=252 inches

The space inside dollhouse 2 can be found using the equation

V = 6 (6) (5) + 1/3 (6) (6) (4)

V=180+48

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The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

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V2=228

Hence:

252-228=24 inches cubed

V1 ≥V2

Therefore the statements that are true about the dollhouses is: 1,4,5.

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6 0
2 years ago
Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top of the pole as 35º. Vera is
ivanzaharov [21]

Answer:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Tan \theta=\frac{|XY|}{|VY|} \\Tan \theta=\frac{42.01}{36}\\ \theta=arctan(\frac{42.01}{36})\\ \theta=49.4^0

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

4 0
4 years ago
Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle
DENIUS [597]

Answer:

The value of x = 8

Step-by-step explanation:

For better understanding of the solution, see the attached figure of the diagram :

∠1 and ∠2 are alternate exterior angle and ∠3 is adjacent to ∠2

⇒ ∠1 = (4x + 28)°

⇒ ∠3 = (14x + 8)°

Now, ∠2 + ∠3 = 180° (Linear Pair)

⇒ ∠2 = 180 - 14x -8

⇒ ∠2 = 172 - 14x

Since the alternate exterior angles formed by the transversal between two parallel lines are equal in measure.

⇒ ∠1 = ∠2

⇒ (4x + 28)° = (172 - 14x)°

⇒ 18x = 144

⇒ x = 8

Therefore, ∠1 = ∠2 = 60° and ∠3 = 120°

Hence, The value of x = 8

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Answer:

They are the same because they have the same slope but are different because they have different y intercepts.

Step-by-step explanation:

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