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2 years ago

15

A moving sidewalk travels at a rate defined by the function f(x). A boy on the sidewalk is walking at a rate defined by the func

tion g(x). The sum of the functions, h(x), represents the rate he is moving relative to his surroundings. Which could be the graph of the functions?

1 answer:

tatiyna2 years ago

6 0

The answer is :
B.

Ex- hope this helps!

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Which of the following is a solution to sin x/2 = sqrt3/2 ?

Vera_Pavlovna [14]

Answer:

A. 60 degrees

Step-by-step explanation:

Solution to sin(x/2)=( $\sqrt{3}$ /2)

By looking at this equation, I can identify that the answer must be within the first quadrant since the numerator and denominator are both positive.

Since it is in the first quadrant, the range of the value of the answer must be between 0 degrees less than or equal to x less than or equal to 90 degrees.

I can also identify that this is a 30, 60, 90 degree triangle because it has a $\sqrt{3}$ and 2 as the numerator and denominator; in this case this tells us that we are dealing with a 30, 60, 90 degree triangle because that is the only triangle with those 2 respective sides.

Once identifying those two pieces of information, we can then determine the answer.

Since sin is equal Opposite/Hypotenuse, we can then substitute the sides of the triangle ( $\sqrt{3}$ , 2) to find the angle (unknown).

So the equation would look like this,

Sinx/2= $\sqrt{3}$ /2 ( $\sqrt{3}$ representing the opposite side of the angle; 2 representing the Hypotenuse of the triangle)

We can then conclude that 60 degrees is the unknown angle, due to the nature of a 30 60 90 degree triangle.

*Use the attachment for reference

Therefore, the answer, 60 degrees, is a solution to the equation "sin(x/2)=( $\sqrt{3}$ /2)"

3 0

3 years ago

Maurinko [17]

$\bf \cfrac{x^2-x-42}{x-6}\implies \cfrac{(x+7)\underline{(x-6)}}{\underline{x-6}}\implies x+7$

so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.

however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.

BUT for the rational, we get $\bf \cfrac{x^2-x-42}{x-6}\qquad \boxed{x=6}\implies \cfrac{x^2-x-42}{\boxed{6}-6}\implies \stackrel{und efined}{\cfrac{x^2-x-42}{0}}$

so, even though the siimplification is correct, the rational or original expression is constrained in its domain.

6 0

3 years ago

Broccoli cost 1.50 per pound at a store how much money does 32 ounces of broccoli cost

kogti [31]

1 pound is 16 ounces

32 ounces is 32 ÷ 16 = 2 pounds

1 pound of Botcoil ⇒ 1.5

2 pounds = 1.5 × 2 = 3

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3 years ago

How many minutes r there in 3 weeks

worty [1.4K]

30,240

60x24=1440x7=10,080x3= 30,240

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3 years ago

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Help me i don't understand the problem

Mashutka [201]

The question is asking you to find out what number is a fraction of something. For example, the problem on the top right is asking 35 is 50% (one half) of a number so what you have to do is multiply 35 times 2 and the answer is 70

5 0

3 years ago