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3 years ago

Find tan θ for θ = 60° .

Mathematics

1 answer:

Shtirlitz [24]3 years ago

3 0

Answer:

$\sqrt{3}$

Step-by-step explanation:

tanx= $\frac{sinx}{cosx}$

sin60°/cos60°= $\frac{\sqrt{3} }{2} / \frac{1}{2}$ = $\sqrt{3}$

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Which expression is equivalent 11-9(-2x-3)

vagabundo [1.1K]

Answer:

18x + 38

Distribute, and add because a negative times a negative is a positive.

Explanation:

11-9(-2x-3) = 11 - 9(-2x) + -9(-3) = 11 --18x + 27 = 11 + 18x + 27 = 18x + 38

3 0

3 years ago

Read 2 more answers

A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What

Norma-Jean [14]

Answer:

1. Slope: $m = \frac{4}{3}$

2. Distance: $AB = 10$

3. Midpoint: $M = (5,7)$

4. Slope of perpendicular line: $m_2 = -\frac{3}{4}$

Step-by-step explanation:

Given

$A = (2,3)$

$B = (8,11)$

Solving (1): Slope of AB

Slope (m) is calculated as follows:

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

Where:

$A = (2,3)$ --- $(x_1,y_1)$

$B = (8,11)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{11 - 3}{8 - 2}$

$m = \frac{8}{6}$

$m = \frac{4}{3}$

Solving (2): Length AB

This is solved by calculating the distance of AB using the following formula.

$AB=\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}$

Where:

$A = (2,3)$ --- $(x_1,y_1)$

$B = (8,11)$ --- $(x_2,y_2)$

So:

$AB = \sqrt{(2-8)^2 + (3 - 11)^2}$

$AB = \sqrt{(-6)^2 + (-8)^2}$

$AB = \sqrt{36 + 64}$

$AB = \sqrt{100}$

$AB = 10$

Solving (3): Midpoint of AB.

Midpoint, M is calculated as follows:

$M = \frac{1}{2}(x_1+x_2, y_1 + y_2)$

Where

$A = (2,3)$ --- $(x_1,y_1)$

$B = (8,11)$ --- $(x_2,y_2)$

So:

$M = \frac{1}{2}(2+8,3+11)$

$M = \frac{1}{2}(10,14)$

$M = (5,7)$

Solving (4): Slope of line perpendicular to AB

The relationship between the slopes of two perpendicular lines is:

$m_2 = -\frac{1}{m_1}$

Where

$m_1$ represents the slope of AB

$m_1 = \frac{4}{3}$

So:

$m_2 = -1/\frac{4}{3}$

$m_2 = -1*\frac{3}{4}$

$m_2 = -\frac{3}{4}$

5 0

3 years ago

Graph is shown in the figure. y 2 y= 20 (2, 10) (0,5) х

Tju [1.3M]

Where is the graph?

6 0

3 years ago

2x+2y=38 Y=x+3 Substitute to solve Correct answer gets Brainliest

bixtya [17]

Answer:

x=8

y=11

Step-by-step explanation:

2(8) + 2(11) = 38

8 + 3 = 11

5 0

3 years ago

NISA [10]

Answer:

Step-by-step explanation:

5 0

3 years ago