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Readme [11.4K]
3 years ago
6

Simplify the expression. -1/2 (-5/6 + 1/3)

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Answer: exact form: 1/4 or the decimal form is 0.25

Step-by-step explanation:

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Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-3y=−9
Paha777 [63]

Answer:

Step-by-step explanation:

Slope-intercept from: y = mx +c

Here, m is the slope & c is the y-intercept.

So, we have to isolate y. To isolate y first subtract 2x from both sides.

2x - 3y = -9

     -3y = -2x -9

Now, divide the entire equation by the co efficient of y (-3)

\dfrac{-3}{-3}y=\dfrac{-2}{-3}x-\dfrac{9}{-3}\\\\\\y=\dfrac{2}{3}x + 3

7 0
2 years ago
Tan(x+pi/2)= negative cot x
DIA [1.3K]
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

6 0
3 years ago
A surveyor measures the angle of elevation
lisov135 [29]

Check the picture below.

make sure your calculator is in Degree mode.

6 0
4 years ago
Find the mean, median, and mode of the data set.
Paladinen [302]

Answer:

Step-by-step explanation:

Mode. is. 2

Mean. Is 4.2

Median. Is. 4.5

6 0
3 years ago
Read 2 more answers
A salesperson is paid $140 per week plus 10% commission on her weekly sales of x dollars. Find a linear function that represents
Verizon [17]

Her weekly sales is X dollars

10% as a decimal is 0.10

Total commission is 0.10X ( 10% times weekly sales)

You then need to add that to her base pay of $140.

The equation is: w = 0.10x + 140

4 0
3 years ago
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