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hoa [83]
2 years ago
15

Determine f(4), f(-5) and f(-2/3)

Mathematics
1 answer:
anyanavicka [17]2 years ago
5 0

Answer:

Y would just equal 6. It says so. Imagine that line where the line is just at y=-6. And imagine all of the points on that line with 4, 5, and -2/3 as the x.

Step-by-step explanation:

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How many solutions does this equation have? How do you know?<br><br> 8x +14 - 4x = 9 + 4x - 5
MAVERICK [17]

Answer:

no solutions.

Step-by-step explanation:

8x + 14 -4x = 9+4x -5

8x-4x -4x = 9-5-14

0x = -10

anything multiplied by 0 is 0, so it's impossible to get -10 by multiplying by 0

5 0
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Please help quickly 15 POINTS
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The area of a square dollhouse is 289 square inches. How long is each side of the dollhouse?
EastWind [94]

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17

Step-by-step explanation:

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3 years ago
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You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C =  90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± \sqrt{a^{2} +b^{2} }

Substitute a and b:

c = ±\sqrt{346346^{2} +7777^{2} }

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

5 0
2 years ago
Determine the domain of the function. <br> f(x) = 13/3-x
Sedbober [7]
Hi..... the domain(D) will be:

\mathtt {f(x)=\dfrac{13}{3-x}\rightarrow \boxed{D=\{x\in R\,|\,x\neq 3\}}}

Thanks... :)
6 0
3 years ago
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