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3 years ago

What is the definition of rate?

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

A measure, quantity, or frequency, typically one measured against some other quantity or measure.

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Tan x-1/tan x+1=1-cot x/1+cotx

ikadub [295]

$\dfrac{\tan x-1}{\tan x+1}=\dfrac{\frac{\sin x}{\cos x}-1}{\frac{\sin x}{\cos x}+1}=\dfrac{\sin x-\cos x}{\sin x+\cos x}=\dfrac{1-\frac{\cos x}{\sin x}}{1+\frac{\cos x}{\sin x}}=\dfrac{1-\cot x}{1+\cot x}$

6 0

3 years ago

Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr

PSYCHO15rus [73]

Answer:

$x=\frac{9}{8}\ yards$

$x=1.125\ yards$

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

$x+x+x+x+x+x+x+x=8x$

Then:

$8x=9\ yards$

Now we solve the equation for x

$8x=9\ yards$

Divide both sides of equality by 8

$\frac{8}{8}x=\frac{9}{8}\ yards$

$x=\frac{9}{8}\ yards$

So the length of each piece is $\frac{9}{8}$ of a yard.

This is: 1.125 yards

6 0

3 years ago

Question 14

Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

$6x+y=-1\\y=-6x-1$

second equation:

$-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1$

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0

3 years ago

What is the answer and how can I find it

finlep [7]

The answer is C
1/2(5x + 12)

because the perimeter is equal 20x + 6

4 0

3 years ago

If 7x + 4 = -19 + 5x, then 2x – 14 equals<br>A-23<br>B 23<br>C-37<br>D-14

drek231 [11]

Answer:

Step-by-step explanation:

Here we have the question,

7x+4 = -19 + 5x

Now we add 19 to both sides,

7x + 4 + 19 = -19 + 19 + 5x

7x + 23 = 5x

Now we subtract 7x from both sides,

23 = -2x

We divide -2 from both sides,

x = -23/2

Now we plug this in into 2x - 14,

2(-23/2) - 14 = -23-14 = -37

Our answer is C

7 0

3 years ago