Answer:
The equation in slope-intercept form for the path of the trumpet players is
.
Step-by-step explanation:
Consider the provided information.
The drummers will march along the line y=-5x-8.
The trumpets players will march along a perpendicular line that passes through (-2,2).
The slope of line y=-5x-8 is: m₁ = -5.
The slope of perpendicular lines are: 


Hence, the slope of the line should be 1/5.
The line passes through (-2,2).
Now use point slope form to find the equation of line.

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.




Hence, the equation in slope-intercept form for the path of the trumpet players is
.
Adam earned a total of £265.10 last week.
Step-by-step explanation:
Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.
Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,
Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,
Money earned for selling 42 magazines = 42 × £0.80 = £33.60,
Money earned for selling 14 books = 14 × £2.25 = £31.50,
Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 = £65.10.
Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.
Last week's salary = £200 + £65.10 = £265.10.
Answer:
\sqrt(217)
Step-by-step explanation:
(19)^2=(12)^2
361 - 144 + 217
\sqrt(217)
Answer:
All points between z = 0 and z = 7 along the z-azis in R3 x-y-z plane
Step-by-step explanation:
The inequality 1
z
7 represents all sets of points on the z-axis in the R3 plane that lies bewteen z = 0 and z= 7.
It is represents a line segment joining two point z= 0 and z=7 along z- axis in the R3 plane, while x=0 and y=0 on the x-y plane.