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larisa86 [58]
3 years ago
9

Divide: (x2 – 3x – 33) = (x + 4)

Mathematics
2 answers:
Simora [160]3 years ago
8 0

Answer:

\rm (x^2 - 3x - 33)\div(x + 4) = x - 7 - \dfrac{5}{x + 4}

Step-by-step explanation:

\rm\qquad\quad\quad{x-7}\\ \begin{array}{cc} \cline{2 - 2}\rm x + 4 )&\rm \ x^2 - 3x -33\\&\rm x^2 + 4x \\ \cline{2-2}& \rm \ \ \ \ -7x-33\\ &\sf \ - 7x-28 \\ \cline{2-2} & \rm \ \ -5 \\ \cline{2-2} \end{array}

Quotient → x - 7

Remainder → -5

Divisor → x + 4

katovenus [111]3 years ago
7 0

Answer:

x-7-5/x+4

So answer C

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
Fantom [35]

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

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3 years ago
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Citrus2011 [14]

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Step-by-step explanation:

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3 years ago
The question is in the screenshot
Sidana [21]

Answer:

b. -36/77

Step-by-step explanation:

As 0 < x < \pi/2 => tan x > 0

As 0< y <  \pi/2 => tan y > 0

We have the formula:

  • \frac{1}{sin^{2}x } =1 + cot^{2}x => \frac{1}{(8/17)^{2} } = 1+cot^{2}x => cot^{2} x=225/64

As tan x = 1/(cotx) => tan^{2}x = \frac{1}{cot^{2}x} =\frac{1}{225/64} = \frac{64}{225}

As tan x > 0 => tan x = 8/15

  • \frac{1}{cos^{2}y } = 1+tan^{2}y => \frac{1}{(3/5)^{2} } = 1 + tan^{2} y => tan^{2}y=\frac{16}{9}

As tan y > 0 => tan y = 4/3

As tan (x-y)= \frac{tan x - tan y}{1+ tanx * tany} =\frac{(8/15)-(4/3)}{1+(8/15)*(4/3)} = \frac{-36}{77}  

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3 years ago
Which of these equations would give you the balance on an account with a principal of $3000 and an interest rate of 8%, compound
GrogVix [38]
It would be 3000 x 1.08^5
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