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Nimfa-mama [501]
3 years ago
11

B. Simplify (1-3) (⅓+√3), leaving your answer in the form P+Q√3​

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

6

Step-by-step explanation:

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If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?
sergey [27]
Sin θ = 2 / 7
tan θ > 0
cos θ = ?

sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?

adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5

cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
6 0
3 years ago
Write an equation of the line shown. Then use the equation to find the value of x when y=112
PtichkaEL [24]

Answer:

y = 8x + 16

x = 12

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format y = mx + b.

Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

(0, 16) = (x_1, y_1)

(3, 40) = (x_2, y_2)

slope (m) = \frac{40 - 16}{3 - 0}

slope (m) = \frac{24}{3}

slope (m) = 8

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

y = mx + b

16 = 8(0) + b

16 = 0 + b

16 = b

b = 16

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

y = mx + b

y = 8x + 16

Let's use the equation to find x when y = 112.

y = 8x + 16

Substitute y = 112 in the equation

112 = 8x + 16

112 - 16 = 8x

96 = 8x

Divide both sides by 8

12 = x

x = 12

8 0
3 years ago
The travel time between two cities is inversely proportional to the average speed. A train travels between the cities in 3 hours
vagabundo [1.1K]
(I need to answer a question before I ask one)
6 0
3 years ago
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Help plzz i need help with this question and 9 more in an hourr
REY [17]

Answer:

y=-\cos x

Step-by-step explanation:

The given trigonometric graph is symmetric about the y-axis.

This means it is a cosine function.

The basic is symmetric about the y-axis and has a y-intercept of 1.

Its range is -1\le y\le1

Since the given graph  has y-intercept at -1 with the same range, it is the parent cosine function reflected in the x-axis.

Therefore its equation is y=-\cos x

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3 years ago
Solve 3/8+n = 7/8<br> N =
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Answer:

n = 1/2 or 0.5

Step-by-step explanation:

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3 years ago
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