One angle of a right triangle measures 80 degrees. what is the measure of the other acute angle
1 answer:
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Answer:
y = 3
Step-by-step explanation:
Substitute the given points into the function and solve for a and b
Using (2, 12)
12 = ab² → (1)
Using (5, 96)
96 = a → (2)
Divide (2) by (1)
=
, that is
b³ = 8 ( take the cube root of both sides )
b = = 2
Substitute b = 2 into (1) and solve for a
12 = a2² = 4a ( divide both sides by 4 )
3 = a
Thus
y = 3 ← is the exponential function
Greetings and Happy Holidays!
<span>1) Perpendicular to </span>
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and
First, rearrange the equation into slope y-intercept form:
The slope of the equation is: \frac{1}{5}
The negative reciprocal formula:
Solve for the negative reciprocal:
Divide both sides by
The slope of the new line is: -5
2) Passes through (-5,-2)
Create an equation with the slope discovered in slope y-intercept form.
Input the point the line passes through.
Solve for b (the y-intercept).
Multiply.
Add -25 to both sides.
The y-intercept is equal to -27
The Equation of the line is:
I hope this helped!
-Benjamin
<span>1) Perpendicular to </span>
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and
First, rearrange the equation into slope y-intercept form:
The slope of the equation is: \frac{1}{5}
The negative reciprocal formula:
Solve for the negative reciprocal:
Divide both sides by
The slope of the new line is: -5
2) Passes through (-5,-2)
Create an equation with the slope discovered in slope y-intercept form.
Input the point the line passes through.
Solve for b (the y-intercept).
Multiply.
Add -25 to both sides.
The y-intercept is equal to -27
The Equation of the line is:
I hope this helped!
-Benjamin