7hrs 15min -3hr 55 min

Simplify the rational expression. State any restrictions on the variable.

AveGali [126]

Answer:

The last choice.

Step-by-step explanation:

$\dfrac{k^2-k-2}{k^2-4k-5}=\dfrac{(k+1)(k-2)}{(k+1)(k-5)}=\dfrac{k-2}{k-5}$

The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.

7 0

2 years ago

What equation represents the model shown below?

g100num [7]

Given:

The algebra tiles of an equation.

To find:

The equation represented by the given model.

Solution:

On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,

$LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)$

$LHS=-4x+(-3)$

$LHS=-4x-3$

On the right side of the model we have 8 tiles of (-1). So,

$RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)$

$RHS=-8$

Now, equate the LHS and RHS to get the equation.

$-4x-3=-8$

Therefore, the equation for the given model is $-4x-3=-8$ .

7 0

2 years ago

Should juveniles be punished less harshly than adults? Use "leniently" in your answer

vampirchik [111]

Juveniles should be punished less harshly than adults, but it depends on what they have done to earn their certain punishment. If they did something to a certain degree that deserves a harsh punishment then they shouldn’t be as leniently punished as a juvenile who didn’t do as much to deserve a harsh punishment.

6 0

3 years ago

(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

$l=\frac{b}{\cos(x)}$ .