An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. assume the plane continues at the same rate of descent.
a) write an equation to represent the height of an airplane (h) as it descends for (m) minutes.
b) graph the situation.
c) what does the slope represent?
d) what does the y-intercept represent?
e) how long will it take for the airplane to reach 13,000 feet?

a)  h = 30000 - 2000m

b)  the graph is attached

c)  the slope = -2000

d)  30000ft

e)  8.5 mins

Step-by-step explanation:

Let h be the height of the plane.

Let r be the rate of descending

Let the be the time taken to descend

Height of plane = 30000ft

Rate of  descension = 2000ft/min

a)  h = 30000 - r(m)

h = 30000 - 2000m

b)  when the plane flies at 2000ft/min, it will take

30000/2000

= 15mins

The graph has been attached

c)  The slope is said to be the rise/run. It is a negative rise

y = mx + c

Where m is the slope.

Comparing y = mx + c to h = 30000 - 2000m

h = -2000m + 30000

The slope is  -2000

d)  y intercept represent 30000ft  when the plane starts to descend.  m = 0

h = -2000(0) + 30000

h = 30000ft

e)  To reach 13000 ft,  it will take

13000 = 30000 - 2000m

13000 - 30000 = -2000m

-17000 = -2000m

m = -17000/-2000

m = 8.5mins

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

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