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Murrr4er [49]
2 years ago
9

It would mean a lot to me if you helped with math, i really cant concentrate because my grandfather just passed away and yea ple

ase help.....
The graph represents the water path of a fire hose.

What does the x-intercept of the graph represent in terms of the water spray? Use specific information about the coordinates of the x-intercept in your answer.

Mathematics
1 answer:
AysviL [449]2 years ago
8 0

Answer:

The x intercept of the graph represents the distance that the water hits the ground.  Since the x intercept is (42,0), the water hits the ground 42 ft away from its origin.

Step-by-step explanation:

Sorry to hear about your loss, stay strong and know that he is looking after you from a better place.  

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Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Yertle the turtle and his 362 turtle buddies went swimming in 3 different ponds. if the same number of turtles swim in each pond
konstantin123 [22]
There are 363 turtles (including yertle) 
there are 3 different ponds and the same # in each pond. you simply divide the number of turtles by 3 because there are 3 different ponds. 

363/3=121 
there 121 turtles in each pond 
8 0
3 years ago
A group of randomly selected Clyde Marketing employees were asked what their most common form of transportation is. The bar grap
poizon [28]

Answer:

The answer is 88, trust.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve 6 - 2x = 3<br><br> How do I do this?
RoseWind [281]

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

-2/(-2)x = -3/(-2)

x = 3/2

5 0
3 years ago
In circle L, points E and F lie on the circle such that E, F and L are not collinear. If LE, LF and EF are drawn then which of t
frozen [14]

Answer:

<u>option (2) it is and isosceles triangle. </u>

Step-by-step explanation:

In circle L, points E and F lie on the circle such that E, F and L are not collinear

If LE, LF and EF are drawn

So, LE = EF = the radius of the circle L

So, LEF is an isosceles triangle.

The answer is option (2) it is and isosceles triangle.

8 0
3 years ago
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