Lines that are perpendicular will have slopes that are opposite reciprocals. The slope of y=7/6x+4 is 7/6. So we need to find the opposite reciprocal of 7/6. Opposite would make the number negative and reciprocal would switch the numerator with the denominator. So the slope of any line reciprocal to y=7/6x+4 would be -6/7. Then you can use any real number as the y intercept for the new equation.
An acceptable answer would be
y= -6/7x+10
But the number 10 could be replaced by any real number.
Answer:
The perimeter of triangular sign is 12x+3
Step-by-step explanation:
Length of side1 of triangle = x inches
Length of side2 of triangle = 4x-5 inches
Length of side3 of triangle = 7x+8 inches
We need to find perimeter of triangular sign.
The formula used is:
Now, finding perimeter of triangular sign:
The perimeter of triangular sign is 12x+3
Answer:
55,440 ways
Step-by-step explanation:
In this situation, since the bonuses are different, the order of the sales reps receiveing the bonus matters, thus permutations should be used.
The number of ways to pay the bonuses in office A (pick 3 out of 12) is:
The number of ways to pay the bonuses in office B (pick 2 out of 7) is:
Considering both offices, the number of ways to pay out the bonuses is:
Answer:
the angles would either be 20, 20, 140 or 20, 80, 80
Step-by-step explanation:
Numbers greater than 5 are rounded up, and numbers 4 and lower are rounded down.
37.57 - This number is greater than 5 so we round up to 38.00 dollars.