The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
U would need to spend about 100-500 dollars on copies
Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions
6x40=$240 dollars a week
90dollars/$6 an hour =15 hours overtime
if andrew earned 330 dollars in 1 week he worked his regular40 hours and made $240+$90/$6 an hour he made working over time for 15 hours he must have worked 55 hours all together
Answer:
B. sine; 46.5 feet high
Step-by-step explanation:
In this case, we use trigonometric ratio.
Assuming the horizontal ground, the cable and the height of the cliff forms a triangle,
The cable is the hypotenuse, the height of the cliff is opposite to the angle formed by the cable and the horizontal ground.
Thus; the most appropriate function is sine
Such that;
Sine θ = Opposite/Hypotenuse
Where; θ = 25°, opposite is the height of the cliff and hypotenuse is the cable, 110 ft
Therefore;
Sine 25° = Opp/ 110
Hence;
Opp = 110 ft × sine 25°
= 46.488 ft
= 46.5 ft
Therefore;
The function is Sine, and the height of the cliff is 46.5 ft high
