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liubo4ka [24]
2 years ago
8

I really really need help!!!!!!

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

ANSWER

y = 5 \sin( \frac{6}{5} x - \pi)-4

EXPLANATION

The given function is

y = 5 \cos( \frac{3}{5} x - \pi)  + 4

The period of this function can be determined using the formula:

T= \frac{2\pi}{ |b| }

.

The period is

T= \frac{2\pi}{  \frac{3}{5}  }  =  \frac{10\pi}{3}

Half the period of this function is:

\frac{ \frac{10\pi}{3} }{2}  =  \frac{5\pi}{3}

The function which has this period is

y = 5 \sin( \frac{6}{5} x - \pi) -4

The first choice is correct.

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The  area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is
Pie

We know that the points at which the parabola intersects the x axis are

(-5,0) and (1,0)

So the extent between these two points would be the base of the triangle

lets find the length of the base using the distance formula

\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}

the base b=6

We will get the height of the triangle when we put x=0 in the equation

y=a(0+5)(0-1)

y=-5a

so height = -5a (we take +5a since it is the height)

We know that the area of the triangle =

\frac{1}{2} × 6 × (5a) = 12

15a=12

a= \frac{4}{5}


7 0
3 years ago
A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.
RSB [31]
Time taken by a regular bus to reach its destination = 3 1/4 hours
                                                                                   = 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
                                                                                       = 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
                                                                                 = (13 - 10)/4 hours
                                                                                 = 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.
7 0
3 years ago
Read 2 more answers
Helppppppppppppppppp
frosja888 [35]

Answer:

B

Step-by-step explanation:

B, because -9.2 = -4.5, which is less than -4.12. Also, 17/4 = 4.25 is less than sqrt(20), which is 4.4721

6 0
2 years ago
Read 2 more answers
P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5
sveticcg [70]
\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{  k}}}{x}
\end{array}\\\\
-----------------------------\\\\
\textit{p is inversely proportional to the cube of (q-2)}\implies p=\cfrac{k}{(q-2)^3}
\\\\\\
now \quad 
\begin{cases}
p=6\\
q=3
\end{cases}\implies 6=\cfrac{k}{(3-2)^3}

solve for "k", to find k or the "constant of variation"

then plug k's value back to \bf p=\cfrac{k}{(q-2)^3}

now.... what is "p" when q = 5?  well, just set "q" to 5 on the right-hand-side, and simplify, to see what "p" is
4 0
3 years ago
A bus as speed of 20m/s begin to slow at constant acceleration of 8.00m/s2 along a straight line find the average speed for the
MrRissso [65]

Answer:

-20 m/s.

Step-by-step explanation:

The computation of the average speed is shown below:

Given that

The initial velocity of the bus, u = 20 m/s

Aceleration of the bus, -a = 8 m/s²

time of motion, t = 5 s

Now The final velocity of the bus is  

v = u + at

v = 20 + (-8 × 5)

v = 20 - 40

v = -20 m/s.

6 0
2 years ago
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