11. Use your ruler to measure in centimetres the lengths of the lines marked P, Q and R.

Mathematics

1 answer:

miv72 [106K]2 years ago

3 0

Unfortunately we are unable to do this question since the question would have to be in the correct scale (meaning we need the original copy not a camera version). This question must be done by you. Just use a ruler and measure the lines

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Some carpet cleaning costs are shown in the table. The relationship is linear. Find and interpret the rate of change

Artemon [7]

Y = m x + b , where m is the slope. The slope is the rise over the run or the change in x ( rooms cleaned ) over the change in y ( cost ).
125 = m * 1 + b
175 = m * 2 + b
-----------------------
b = 125 - m
175 = 2 m + 125 - m
m = 175 - 125
m = 50 ( the rate of change ), b = 75
The formula is: y = 50 x + 75
It means that the starting cost will be $75 and that for every room cleaned, the cost will rise for $50.

4 0

3 years ago

Read 2 more answers

Solve sec2theta + tantheta - 3 =0 for 0

Serhud [2]

Answer:

Ф = $\frac{\pi }{4} ,\frac{5\pi}{4}$

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
Then we can combine like terms
Then we can factor this as a polynomial function
Then we can set each term equal to zero and solve for Ф
The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
The second term tan(Ф) - 1 = 0 has two solutions of $\frac{\pi}{4}$ and $\frac{5\pi}{4}$ so these are the solutions to the problem