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3 years ago

How do you graph 8a-10=38 but a=6?

1 answer:

7 0

To graph this equation, I am going to change it up so you can understand. a, in this case, is x and 38 would be y(but it is already solved). Therefore the equation is y = 8x - 10. This follows the format y = mx +b.

To graph: Since your x is 6, your y is missing, but since it's already solved it's 38. Your coordinates would (6, 38).

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Solve the equation in the interval 0 to 2pi.

galben [10]

Answer:

You don't need to single out $\cos \theta$ to solve this question.

To solve:

$\begin{aligned}3 \cos 4 \theta & = -2\\\\\cos 4 \theta & = -\dfrac{2}{3}\\\\4 \theta & = \cos^{-1}\left( -\dfrac{2}{3\right)}\\\\\implies 4 \theta & =2.30053... \pm 2 \pi n, -2.30053...\pm 2 \pi n\\\\\theta & =\dfrac{2.30053...}{4} \pm \dfrac{\pi n}{2}, -\dfrac{2.30053...}{4}\pm \dfrac{\pi n}{2}\end{aligned}$

So for the given interval $0\leq \theta \leq 2 \pi$

$\implies \theta =0.575, 2.146, 3.717, 5.288, 0.996, 2.566, 4.137, 5.708\:\:(\sf 3 \: d.p.)$

(As confirmed by the attached graph)

5 0

2 years ago

Read 2 more answers

What is 604.2978 in the hundredths place?

Iteru [2.4K]

Answer: 604.30

Step-by-step explanation:

You round it two to the right and add the number to the left by one every time the number is over 5.

8 0

4 years ago

Read 2 more answers

ASSSSAAAAPPP 25 POINTSSSS BRAINLESTTTT!!!!!

Romashka-Z-Leto [24]

Answer:

5 ft and 11 ft

Step-by-step explanation:

l= 2w+1

A=lw= 55

w(2w+1)=55

2w²+w-55=0

integer solution of quadratic equation is:

w=5 ft

l= 2*5+1=11 ft

5 0

3 years ago

Read 2 more answers

Logarithms <br> 8^(x-9) = 19^(3x+2)

Sophie [7]

$\bf 8^{x-9}=19^{3x+2}\implies log(8^{x-9})=log(19^{3x+2})
\\\\\\
(x-9)log(8)=(3x+2)log(19)\impliedby distributing
\\\\\\
xlog(8)-9log(8)=3xlog(19)+2log(19)
\\\\\\
xlog(8)-3xlog(19)=9log(8)+2log(19)\impliedby \textit{common factor}
\\\\\\
x[log(8)-3log(19)]=9log(8)+2log(19)
\\\\\\
x=\cfrac{9log(8)+2log(19)}{log(8)-3log(19)}$

6 0

3 years ago

Did I do this problem correctly??

DaniilM [7]

You're correct in the x parts where each is +3

You're incorrect in the y part

5 - 6 = -1

5 - 4 = 1

So the first one should be -6

From there, its +6

-1 + -6 = -7

-7 + -6 = -13

6 0

3 years ago