Rewrite in simplest terms: (x+10y)-(x+5y)(x+10y)−(x+5y)

Find the inverse function y=-5x+20

Nezavi [6.7K]

Answer:

$y= \frac{-1}{5} x +4$

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

$y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\$

$\frac{y}{-5}-\frac{20}{-5} = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x$

And now we change the variables and we get the inverse function:

$y= \frac{-1}{5} x +4$

7 0

2 years ago

Jared has total of 16 coins in his piggy bank consisting of only quarters and dimes the total value of all those coins is $3.10

4vir4ik [10]

The answer to the question

4 0

3 years ago

Which measure of center is the most appropriate for the data in Table 2 (Weight)? Give a reason for your answer.

AleksandrR [38]

Mean because all of the data points are
fairly close and there aren't any outliers
(extreme values)

5 0

2 years ago

Read 2 more answers

The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le

faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0

3 years ago

The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

2 years ago