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3 years ago

7

PLEASE HELP, algebra 1

1 answer:

podryga [215]3 years ago

4 0

By intuition, the function of y with respect to x will be:

y = 4x

You can prove this by substitute in each pair of values of x and y

So the constant of relationship is 4

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a ladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 ft less than the lengt

Brut [27]

Let x ft be the length of the ladder, then the distance from the ground to the top of it will be x-1 ft.

If the distance from the bottom of the ladder to the building is 3 ft, then we can apply Pythagoras:

x² = (x-1)² + 3² . Expand:
x² = x² - 2x + 1 + 9
x² = x² - 2x + 10

x² - x² = - 2x + 10
0 = - 2x + 10
2x = 10 and x = 5 ft

8 0

3 years ago

A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figur

inessss [21]

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

$tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15}$

$tan(\theta) = 1.8667$

$\theta = tan^{-1}(1.8667)$

$\theta = 61.82$ (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

$tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100}$

$tan(\theta) = 0.28$

$\theta = tan^{-1}(0.28)$

$\theta = 15.64$ (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

$tan(\theta) = \frac{opp}{adjacent}$

Plug in the values

$tan(40) = \frac{28}{x}$

Multiply both sides by x

$x*tan(40) = 28$

Divide both sides by tan(40)

$x = \frac{28}{tan(40)}$

$x = 33.37$ (2 d.p)

3 0

3 years ago

What is the minimum and maximum

erastovalidia [21]

It is the bigger and smallest va,lue of the function

6 0

3 years ago

HELP!!!! Put the following in order from greatest to least.

Luden [163]

Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

5 0

3 years ago

A line has the equation y = -1/2 + 3. A second line is parallel to the first. What is the slope of the parallel line?

adoni [48]

Answer:

m = -1/2

Step-by-step explanation:

parallel lines always have the same slope

3 0

3 years ago