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V125BC [204]
2 years ago
6

Can some one help me with this 2s +9 ——— 3r ÷ s (If r=-14 and s=6)

Mathematics
2 answers:
7nadin3 [17]2 years ago
6 0

Answer:

25+9

--------

3r÷5

=2×6+9

----------

3×(-14)÷6

=12+9

---------

(-42)÷6

=21

----

-7

=_3

salantis [7]2 years ago
5 0

\huge \boxed{\mathbb{QUESTION} \downarrow}

2s +9

———

3r ÷ s

(If r = -14 and s = 6)

\large \boxed{\mathfrak{Answer \: with \:Explanation} \downarrow}

\sf\frac{2s + 9}{3r \div s}  \\

Substitute the values of r & s with -14 & 6 respectively.

\sf\frac { 2 ( 6 ) + 9 } { 3 ( - 14 ) \div ( 6 ) } \\

Multiply 2 and 6 to get 12.

\sf\frac{12+9}{\frac{3\left(-14\right)}{6}}  \\

Add 12 and 9 to get 21.

\sf\frac{21}{\frac{3\left(-14\right)}{6}}  \\

Multiply 3 and -14 to get -42.

\sf\frac{21}{\frac{-42}{6}}  \\

Divide -42 by 6 to get -7.

\sf\frac{21}{-7}  \\

Divide 21 by -7 to get -3.

=  \boxed{ \boxed{\bf   \: - 3}}

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where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

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5.3

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Step-by-step explanation:

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pychu [463]

Answer:

Q13. y = sin(2x – π/2); y = - 2cos2x  

Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1

Step-by-step explanation:

Question 13

(A) Sine function

y = a sin[b(x - h)] + k

y = a sin(bx - bh) + k; bh = phase shift

(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

(4) Phase shift = π/2.  

2h =π/2

h = π/4

The equation is

y = sin[2(x – π/4)} or

y = sin(2x – π/2)

B. Cosine function

y = a cos[b(x - h)] + k

y = a cos(bx - bh) + k; bh = phase shift

(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

(4) Reflected across x-axis, y ⟶ -y

The equation is y = - 2cos2x  

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(1) Amp = 2; a = 2

(2) Shifted down 1; k = -1

(3) Per = π; b = 2

(4) Phase shift = 0; h = 0

The equation is y = 2sin2x -1

(B) Cosine function

a = 2, b = -1; b = 2

Phase shift = π/2; h = π/4

The equation is

y = -2cos[2(x – π/4)] – 1 or

y = -2cos(2x – π/2) - 1

6 0
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