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3 years ago

Solve: sin^2 x + sin x cos x = 0

1 answer:

3 0

Sin² x + sin x cos x = 0
sin x ( sin x + cos x ) = 0
sin x = 0 ; x 1 = k π ; k ∈ Z
sin x + cos x = 0 / ²
sin² x + 2 sin x cos x + cos² x = 0
2 sin x cos x + 1 =0
sin ( 2 x ) = - 1
x = 3π / 2 + 2 kπ / : 2
x 2 = 3π / 4 + kπ ; k ∈ Z

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Write an equation in point-slope form of the line that passes through

zhenek [66]

This one was though, but I think it might be y= -1/12x - 53/12.

Hope I helped!

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3 years ago

Read 2 more answers

A bag contains 6 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What

Lapatulllka [165]

Answer:

3/1771

Step-by-step explanation:

Probability is the chance or likelihood that an event will occur.

Probability = expected outcome/total outcome

Total outcome = total number of marbles

Total outcome = 6+7+10 = 23marbles

If four marbles are drawn, the probability that they are all red is expressed as;

Pr(picking the first red marble) = 6/23

Since it is without replacement, the total marble becomes 22

Pr(picking the second) = 5/22

Pr(picking the third marbles = 4/21

Pr(picking the 4th marble) = 3/20

Note that the number of red marbles keep reducing and the total marble keep reducing as well.

Pr(picking the 4marbles) = 6/23×5/22×4/21×3/20 (we multiplied because or is an independent events)

Pr(picking the 4marbles) = 360/212520

Pr(picking 4 red marbles) = 72/42504 =36/21,252

= 9/5313

= 3/1771

Hence the probability of picking 4 marbles at random without replacement is 3/1771

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3 years ago

The population of Rwanda in 2016 was about 11.8 million. The population tends to increase by about 2% per year. Which equation d

natita [175]

Answer:

B - P=11.8(1.02)^t

Step-by-step explanation:

An exponential function is defined as:

$y=ab^{x}$ .

Recall, a is the starting value, b is the rate, and x is the input (often time).

We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.

We write: $y=11.8(1.02)^{t}$ where y is population in millions.

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3 years ago

Which of these units is a part of both u.s. and metric systems A. Second B. Ounce C. Meter D.kilogram

SIZIF [17.4K]

A. Second would be both u.s. and metric systems..

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3 years ago

Graph y = -4/3x + 8

egoroff_w [7]

Answer:

<em>Graph below</em>

Step-by-step explanation:

<u>Graph of a Function</u>

We are given the function

y = f(x) = -4/3x + 8

Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.

Select values for x={-3, 0, 3, 6, 9}

For x=-3:

y = -4/3(-3) + 8 = 4 + 8 = 12

Point (-3,12)

For x=0:

y = -4/3(0) + 8 = 0 + 8 = 8

Point (0,8)

For x=3:

y = -4/3(3) + 8 = -4 + 8 = 4

Point (3,4)

For x=6:

y = -4/3(6) + 8 = -8 + 8 = 0

Point (6,0)

For x=9:

y = -4/3(9) + 8 = -12 + 8 = -4

Point (9,-4)

Now plot the points in a rectangular grid and join them. The graph is shown below.

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2 years ago