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2 years ago

Add the following polynomials, then place the answer in the proper location on the grid.

Mathematics

1 answer:

WARRIOR [948]2 years ago

6 0

Answer: - 2.4x^2 - 1.5x - 11.4

Step-by-step explanation:

- 4.1x^2 + 0.9x - 9.81.7x^2 - 2.4x - 1.6 = - 2.4x^2 - 1.5x - 11.4

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Find the expansions of sin⁡5θ and cos⁡5θ in terms of sin⁡θ and cos⁡θ.

qwelly [4]

$\bf \textit{quad-angle identities}\\\\\\

cos(4\theta)=8cos^4(\theta)-8cos^2(\theta)+1
\\\\\\
sin(4\theta)=
\begin{cases}
8sin(\theta)cos^3(\theta)-4sin(\theta)cos(\theta)\\\\
4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)
\end{cases}\\\\
-----------------------------\\\\
$

$\bf sin(5\theta)\iff sin(4\theta + \theta)
\\\\\\
sin(4\theta)cos(\theta)+cos(4\theta)sin(\theta)
\\\\\\\
[4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]cos(\theta)\\\\ + [8cos^4(\theta)-8cos^2(\theta)+1]sin(\theta)$

$\bf -----------------------------\\\\
cos(5\theta)\iff cos(4\theta + \theta)
\\\\\\
cos(4\theta)cos(\theta)-sin(4\theta)sin(\theta)\\\\\\\
[8cos^4(\theta)-8cos^2(\theta)+1]cos(\theta)\\\\
-
[4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]sin(\theta)$

distribute... and simplify :)

4 0

3 years ago

0.07 is 1/10 of what

Vinvika [58]

Answer: 0.7
All you have to do is multiply 0.07 by 10, because
1/10 = 0.07
2/10 = 0.14
3/10 = 0.21
4/10 = 0.28
5/10 = 0.35
6/10 = 0.42
7/10 = 0.49
8/10 = 0.56
9/10 = 0.63
10/10 = 0.70

8 0

4 years ago

Read 2 more answers

Write the equation of the line that contains the given point and has the given slope. (–1, 4), slope is –3

charle [14.2K]

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -3\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-4=-3[x-(-1)]\\\\\\y-4=-3(x+1)\implies y-4=-3x-3\implies y=-3x+1$

3 0

3 years ago

Read 2 more answers

Someone please help i will give brainliest

baherus [9]

Answer: answers and picture

Step-by-step explanation:

3 0

2 years ago

Solve -9z >/= -72 CHECK YOUR ANSWER

777dan777 [17]

Answer:

z ≤ 8

Step-by-step explanation:

-9z ≥ -72

Isolate the variable, z. Treat the ≥ as a equal sign, what you do to one side, you do to the other. Divide -9 from both sides. Note that when you divide a negative number, you will flip the sign:

(-9z)/-9 ≥ (-72)/-9

z ≤ (-72)/(-9)

z ≤ 8

z ≤ 8 is your answer.

8 0

3 years ago