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Ulleksa [173]
3 years ago
13

Mr.Driscoll has 9 reports to grade.There are 6 pages for each report.He grades 12 pages.How many pages does he still have to gra

de?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0
42 pages left to grade and 7 reports left
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The coordinates of A and B are (3k, 8) and (k, -3) respectively. Given that the gradient of the line segment AB is 3, find the v
Vladimir [108]

Step-by-step explanation:

gradient = slope or several other words.

it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.

it is represented by the ratio

(y coordinate change / x coordinate change)

when going from one point on the line to another.

in our case, when going from A to B we have

x changes by -2k (from 3k to k).

y changes by -11 (from 8 to -3).

so, the gradient or slope is

-11/-2k = 3

11/2k = 3

11 = 3×2k = 6k

k = 11/6

A = (33/6, 8) = (11/2, 8)

B = (11/6, -3)

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2 years ago
What do you call two angles that have a sum of 90 degrees?
melomori [17]
The answer to this would be complementary angles.

8 0
3 years ago
The length of a rectangular floor is 2 feet more than the width. The area of the floor is 168 square feet. Kim wants to use a ru
defon
The area of the rectangular is expressed in the formula A = l*w where l is the length and w is the width. from the first satement, l = 2  + w; then A = (2+w)*w = 2w + w^2. If A is equal to 168, then w should be equal to 12 feet and l is equal to 14 feet. Hence the width due to the border limits is 12- 2*2 equal to 8 feet
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3 years ago
A differentiable function f has the property that f(x + y) = f(x) + f(y) 1 − f(x)f(y) holds for all x, y in the domain of f. It
Fantom [35]

Answer:

f'(x) = 5[1 + f²(x)]

Step-by-step explanation:

By definition, f'(x) = lim h => 0 {[f(x + h) - f(x)]/h}

This was used, together with the given limits:

lim x => 0 f(x) = 0

lim x => 0 f(x)/x = 5,

to determine the derivative of the given function:

f(x + y) = [f(x) + f(y)]/[1 - f(x)f(y)].

The workings are shown in the attachments.

3 0
3 years ago
1/3 + ( -2 1/4) Solve this equation and show your work!<br> answer has to be a number!
Sedbober [7]

Answer:

<em>-1.9</em>

Step-by-step explanation:

<em>i used a calculator and the answer was -1.91666666667 and i just cut it down to -1.9 was it right?? im not sure..So you dont have to use that answer!!</em>

5 0
3 years ago
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