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geniusboy [140]

2 years ago

5

From a hot-air balloon, Guadalupe measures a 31^{\circ} ∘ angle of depression to a landmark that’s 316 feet away, measuring hori

zontally. What’s the balloon’s vertical distance above the ground?

1 answer:

Anton [14]2 years ago

8 0

Check the picture below.

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Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2

Sergeu [11.5K]

Rearrange the given equation in slope intercept form
$y = \frac{3x - 1}{ - 2} \\ y = - \frac{3}{2} x + \frac{1}{2}$
slope of the required line is
$- \frac{1}{ - \frac{3}{2} } = \frac{2}{3}$
equation is given by
$y - y1 = m(x - x1) \\ y - - 4 = \frac{2}{3} (x - 5) \\ y + 4 = \frac{2x}{3} - \frac{10}{3} \\ y = \frac{2x}{3} - \frac{10}{3} - 4 \\ y = \frac{2}{3} x - \frac{22}{3}$

5 0

3 years ago

Calculate the slope

lesya692 [45]

Answer:

Undefined

Step-by-step explanation:

Slope us (y2-y1)/(x2-x1)

(9-4)/(3-3)

Cant divide by zero

3 0

2 years ago

AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = $\frac{m(b) - m(a)}{b - a}$

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = $\frac{4 - (-12)}{2 - (-2)}$

= $\frac{16}{4}$

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = $\frac{n(b) - n(a)}{b - a}$

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = $\frac{6 - (-6)}{2 - (-2)}$

= $\frac{12}{4}$

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = $\frac{q(b) - q(a)}{b - a}$

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = $\frac{-12 - (-4)}{2 - (-2)}$

= $\frac{-8}{4}$

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = $\frac{p(b) - p(a)}{b - a}$

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = $\frac{-4 - 12}{2 - (-2)}$

= $\frac{-16}{4}$

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0

3 years ago

Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. Wh

Contact [7]

2 adults = 5.50 x 2 = 11
3 students = 4.25 x 3 = 12.75

Total = $23.75

8 0

2 years ago

Read 2 more answers

Please help ASAP! It’s due tmr

DIA [1.3K]

Answer:

I will tell you.

Step-by-step explanation:

a.-13

b.13

c.-25

d.25

e.20

f.-6

g.-22

h.-72

6 0

3 years ago