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belka [17]
3 years ago
8

1.) (X+9)(x+3)

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0
(x+9)(x+3)=x^2+3x+9x+27=x^2+12x+27\\\\
(y-5)(y^2-2y+6)=y^3-2y^2+6y-5y^2+10y-30=\\
=y^3-7y^2+16y-30
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What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1
Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

- The unit circle is the circle whose radius is 1 unit

- It intersects the four axes at:

# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

6 0
3 years ago
Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two
Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

P=\dfrac{6}{16}\\P=0.375

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0
2 years ago
These 2 questions ASAP!! BRAINLIEST &amp; 30 points!!
Klio2033 [76]

Answer:

1.) 2/5

2.) -7/5

Step-by-step explanation:

Slope Formula: m = y2 - y1/x2 - x1

1.) 2/5

m = y2 - y1/x2 - x1

m = -1 - (-3)/0 - (-5)

m = -1 + 3/0 + 5

m = 2/5

2.) -7/5

(-2,3) and (3,-4)

m = y2 - y1/x2 - x1

m = -4 - 3/3 - (-2)

m = -4 - 3/3 + 2

m = -7/5

7 0
2 years ago
Can somebody please help me? Will mark brainliest ! 13 points
Mrrafil [7]

Answer:

Look up the worksheet title on google and then answers. I have done this before and it has helped me. I hope this helps you!!!

Step-by-step explanation:


8 0
3 years ago
This rectangle has side lengths r and s.
quester [9]
Gghhdwbfwbfwbfwbfebfwbwfbfwbqd
7 0
2 years ago
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