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2 years ago

Solve the following inequalities a) algebraically AND b) graphically.

Mathematics

1 answer:

STALIN [3.7K]2 years ago

4 0

Answer:

Step-by-step explanation:

2x-x-5

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A lighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship.

Andrei [34K]

107.75m
This is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
$tan \theta = \frac{opp}{adj}$
plus in values, we know.
$tan (10) = \frac{19}{x}$
switch tan(10) and x using the products property.
$x = \frac{19}{tan (10)}$
plug in to calulator to get answer
x=107.75

4 0

2 years ago

Find the slope for (3,4) and (3,-4)

saveliy_v [14]

Answer:

undefined

The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 , 4)

-(3 , -4)

------------

0 8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run. Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

7 0

2 years ago

Find the measurements

alexandr1967 [171]

Answer:

X=75 y=90

Step-by-step explanation:

180-105=75

X=75

180-90=90

Y=90

5 0

2 years ago

Find the inverse of y = x² + 3

eduard

Answer:

Step-by-step explanation:

$\sqrt\\ x-3$ and - $\sqrt{x-3$

3 0

2 years ago

What is the slope in the equation y=3/4x<br><br> What is the y-intercept also?

xenn [34]

Answer:

slope = 3/4

y- intercept : (0,0)

Step-by-step explanation:

4 0

2 years ago