The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
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Answer:
t=57, u=31, v=92
Step-by-step explanation:
So we know that 180= 5x+2+2x+9+8x+4 which simplifies to 180 = 15x+15. Subtract 15 from both sides to get 165=15x and then divide by 15 to get 11=x. NOw we can plug this into the three angles as x so t = 5*11+2, t=55+2, t=57, then u = 2*11+9, u=22+9, u=31, and lastly v=8*11+4, v= 88+4, and v=92
Answer:
The boiling point of water is between 84 °C and 88 °C when the elevation is between 3.4 and 4.6 km.
Step-by-step explanation:
You want x such that ...
84 ≤ B(x) ≤ 88
84 ≤ 100 -3.5x ≤ 88 . . . . substitute for B(x)
-16 ≤ -3.5x ≤ -12 . . . . . . . .subtract 100
4.6 ≥ x ≥ 3.4 . . . . . . . . . . .divide by -3.5; this reverses the inequality
