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nikitadnepr [17]
1 year ago
14

What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati

on?
y= 4/3x+7
A. y= -3/4x+14
B. y= -3/4x+ 8
C. y= 4/3x+ 7
D. y= 4/3x-15
Mathematics
1 answer:
ollegr [7]1 year ago
8 0

Answer:

the answer is A ..............

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andriy [413]
11x-2; SInce you have to add 6x and 5x because they are 'like terms' meaning they share the same variable. You also add the 6 and the -8, which is basically doing 6-8, which equals -2. So, you put these two numbers together to get an expression of 11x-2.
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2 years ago
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Evaluate : limx→ tan2-sin2x x3
GrogVix [38]

Given:

\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}

Solve:

\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}

Use l'hopital's rule:

\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}

Simplify:

\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}

Apply the constant multiple rule:

\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}

Similary :

\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}

8 0
1 year ago
Make a table showing all the possible outcomes for spinning the pointer of a spinner with four equal-sized sections labeled 1–4
natka813 [3]

Answer:

12.5%

Step-by-step explanation:

There are two types of spinners here and the outcome of them is independent. That means

P(odd number,C) = P(odd number) * P(C)

There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:

P(odd) = 2/(2+2)= 1/2= 50%

There are four letters and the desired outcome is C. The chance for C will be:

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Then the chance will be:

P(odd number,C) = P(odd number) * P(C)

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borishaifa [10]

Answer:

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Step-by-step explanation:

Plug in the values into the equation

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Answer:

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Step-by-step explanation:

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