Answer:
Step-by-step explanation:
x=1.6w and 2w+2x=34.
Simply substitute for x in the perimeter equation, and solve for w. Now compute x.
Answer:
1.83 times
Step-by-step explanation:
Take the distance biked divided by the distance run.
2 3/4 / 1.5 = 1.83 times.
This means that Alex biked 1.83 times more than the distance she ran.
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Answer:
parallel:

perpendicular:

Step-by-step explanation:
original line:
-7x + 8y = 4
m = 7/8
parallel:
m = 7/8
L: 7x - 8y = k
(4, -4) -> L
28 + 32 = 60 = k
L: 7x - 8y = 60
perpendicular:
m = -8/7
L: -8x + 7y = k
(4, -4) -> L
-32 + 28 = -4 = k
L: -8x -7y = -4
=> 8x + 7y = 4
Answer:
Part 1)
----->
Part 2)
----> 
Part 3)
----> All real numbers
Part 4)
----> 
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is

Part 2) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is

Part 3) we have

Applying the distributive property

This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have

we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero

Remember that

(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is

Answer:
2839.4 meters
Step-by-step explanation:
Given that:
Altitude = 1200 m
Using trigonometry :
The distance from point P to the airplane :
Using trigonometric relation :
Sin θ = opposite / hypotenus
Sin θ = altitude / x
Sin θ = 1200 m / x
Sin 25 = 1200 / x
0.4226182 = 1200 / x
x = 1200 / 0.4226182
x = 2839.4423
Distance from P to airplane = 2839.4 meters