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earnstyle [38]
3 years ago
7

Passes through (1,9), slope = 2

Mathematics
2 answers:
Scilla [17]3 years ago
8 0
Slope-Intercept Form:y=2x+9
Point-Slope Form:(y-9)=2(x-1)
IRISSAK [1]3 years ago
5 0
Use point slope formula
y - y1 = m(x - x1)
y - 9 = 2(x - 1)
y - 9 = 2x - 2
y = 2x + 7

y=2x+7
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Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
Mr smiths loan balance has decreased by 71.4%. Calculate the change in his loan balance
nikklg [1K]
Can you write the full question
4 0
3 years ago
Hi please help me the pic is up there
mojhsa [17]

Answer:

4p^3 (4p + 1)

Step-by-step explanation:

All we can do with this equation is factor it.

16p^4 + 4p^3  

When we look at the coefficients, there is a common factor of 4 with 16 and 4. The p's are also common factors, and we can take out a common factor of x^3. We can combine these common factors and take them out of the equation at the same time.

4p^3 (4p + 1)

8 0
3 years ago
A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.
Darina [25.2K]
V=hpir^2

tricky, they didn't give us radius
they just gave circiufmerece

c=2pir
25.12=2pir
divide by 2 both sides
12.56=pir
divide by 3.14 both sides
4=r

subsitutet

v=hpir^2
v=66pi4^2
v=66pi16
v=1056pi
v=3315.84 cubic inches

4 0
3 years ago
Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
Elena L [17]

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

7 0
3 years ago
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