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pogonyaev
3 years ago
11

What is the standard form of -5a(7) + 4a(2)

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
-5a(7) + 4a(2) \\ \\ -35a + 4a \times 2 \\ \\ -35a + 8a \\ \\ -27a \\ \\ Answer: \fbox {-27a}
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Q#3. if cos x = sqrt(2)/2, and 3pi/2 < x < 2pi, what is sin(x + pi/3)
garri49 [273]

#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))


#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.


#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).


#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5


Hope this helped :L

5 0
3 years ago
What are two ratios equivalent to 3:7
grandymaker [24]

Answer:

6:14 and 9:21

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the ratio of the volume of cylinder A to the volume of cylinder B.
ella [17]

Answer:

A:B

Step-by-step explanation:

i need numbers or something.

7 0
3 years ago
Which statement describes the graph of x = 4
Aleks04 [339]

Answer:

The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept

Step-by-step explanation:

So I think that the answer would be this, which means answer 1!! Hope this helps

5 0
3 years ago
Solutions of x2 + 13x + 30 = 0 by factoring.
VMariaS [17]

Answer:

x = -10 or x = -3

Step-by-step explanation:

Here, the given equation is

x^{2}  + 13x + 30 = 0

The given equation can be solved by the method of SPLITTING THE MIDDLE TERM

Split 13 in such a way that sum of the terms = 13

and product of the terms = 30

So, the given equation becomes x^{2}  + 10x + 3x + 30 = 0

Here, 10x+ 3x = 13x and 10 x 3 = 30

Now, simplifying the equation,

x(x+10) + 3(x + 10) = 0 \\(x+3) (x+10) =0

⇒ either (x+ 10) = 0 ,or (x+ 3) = 0

⇒ x = -10 or x = -3

4 0
3 years ago
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