Y=1/8x−1 −5x+4y=−13 A. (0,−1) B. (8,0) C. (1,−78) D. (2,−34)
1 answer:
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is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.
<em><u>Solution:</u></em>
The linear equation in slope intercept form is given as:
T = cx + k ------ (i)
Where "t" is the temperature at an elevation x
And x is in thousands of feet
<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>
Given, when c = 6 thousand ft and fahrenheit
This implies,
From (i)
76 = c(6) + k
76 = 6c + k
⇒ k = 76 - 6c ----- (ii)
<em><u>Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain</u></em>
Given, when c = 12 thousand ft and fahrenheit
This implies,
From (i)
49 = c(12) + k
49 = 12c + k
Substitute (ii) in above equation
49 = 12c + (76 - 6c)
49 = 12c + 76 - 6c
49 - 76 = 6c
6c = -27
Substituting the value of c in (ii) we get
Substituting the value of c and k in (i)
Where "x" is in thousands of feet
Thus the required linear equation is found
Answer:
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let h represent the hypotenuse, then
h² = 5² + ( )² = 25 + 2 = 27 ( take the square root of both sides )
h = ← exact value