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nataly862011 [7]
3 years ago
13

I need help with number 35.

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Since ED and DB are exactly half of EB, we can set ED and DB equal to each other.

x + 4 = 3x - 8

Subtract x from both sides. Add 8 to both sides

12 = 2x

Divide both sides by 2

6 = x

ED = 6 + 4 = 10

ED = DB = 10

EB = ED +DB = 10 + 10 = 20

ED = 10

DB = 10

EB = 20

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Read 2 more answers
A hot-air balloon descends from a height of 2000 feet for 40 seconds. The function models the height of the hot-air balloon duri
Zielflug [23.3K]

Answer:

The domain is all real values greater than or equal to 0 seconds and less than or equal to 40 seconds

The range is all real values greater than or equal to 0 feet and less than or equal to 2,000 feet

Step-by-step explanation:

Let

t ---->  is the amount of time since the descent began

f(t) ---> is the height of a hot-air balloon descends

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have that

The slope or unit rate is equal to

m=-\frac{2,000}{40}=-50\ feet\ per\ second ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

b=2,000\ ft

substitute

f(t)=-50t+2,000

The domain is the interval -----> [0,40]

0\leq t\leq 40

All real values greater than or equal to 0 seconds and less than or equal to 40 seconds

The range is the interval ----> [0,2,000]

0\leq f(t)\leq 2,000

All real values greater than or equal to 0 feet and less than or equal to 2,000 feet

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