All categories

3 years ago

What is the vale of x?

Mathematics

2 answers:

dimaraw [331]3 years ago

4 0

Since the triangles are similar, the following is true:

20 x+6
------- = -------
2x -6 36

Then (20)(36) = (x+6)(2)(x-3) = 2[x^2+3x-18], or

720 = 2[x^2+3x-18], or 360 = x^2 + 3x - 18.

Then x^2 + 3x - 18 - 360 = 0. This is a quadratic equation which can be solved using the quadratic formula, among other approaches. Please apply the quadratic formula here, using a=1, b=3 and c= -378, to find x.

sertanlavr [38]3 years ago

4 0

Since they are similar
36/x+6=2x-6/20

You might be interested in

PLEASE ANSWER THE BLANKS PLEASE AND USE AN ANSWER FROM THE PARENTHESES BESIDE THE QUESTION, I'M GIVING BRAINLIEST IF YOU ANSWER

sleet_krkn [62]

Answer 1a 18 1b 36 1c 648

1a : if you look at the shape you will see its made of squares. I counted the squares, its 18.

1b : one side is 6 in. since its a square all sides are equal. so multiply 6 by 6 to get 36.

1c : this one is easy. We take the number of squares across the surface (18) by the area of each square (36) it is 648.

Also sorry I didn't make this clearer earlier.

5 0

2 years ago

The sales decay for a product is given by S = 70000e^ -0.8x where S is the monthly sales and x is the number of months that have

Gre4nikov [31]

Answer:

After 5.31 months sales will drop below 1000 and 5 months after the end of the campaign sales will be 1282.09

Step-by-step explanation:

Let's find the solutions for the two questions.

First question: How many months after the end of the campaign will sales drop below 1000.

Because the problem asks for how many months, and since 'x' represents month variable, then the problem is asking for 'x'.

Using the same equation for sales we can observe the following:

$S=70000*e^{-0.8X}$ , but we have S which is 1000, so:

$1000=70000*e^{-0.8X}$ which is equal to:

$1000/70000=e^{-0.8X}$ which is equal to:

$1/70=e^{-0.8X}$ by applying ln(x) properties:

$ln(1/70)=ln(e^{-0.8X})$ which is equal to:

$ln(1/70)=-0.8X$ which is equal to:

$ln(1/70)/(-0.8)=X$ so:

$X=5.31 months$

Second question: what will be the sales 5 months after the end of the campaign.

Because the problem asks for what will be the sales, and since 'S' represents the sales, then the problem is asking for 'S'.

Using the same equation for sales we can observe the following:

$S=70000*e^{-0.8X}$ , but we have x which is 5 months, so:

$S=70000*e^{-0.8*5}$ which is equal to

$S=1282.09$

In conclusion, after 5.31 months sales will drop below 1000 and 5 months after the end of the campaign sales will be 1282.09.

8 0

3 years ago

To buy a car, Devin puts in a down payment of $2000 and pays $300 per month in installments. Write an equation describing this p

padilas [110]

Answer:

He has paid 5600 by the end of the year

your equation is: y=300x+2000

Step-by-step explanation:

x=12 because there is 12 months in a year

y=300(12)+2000

y=3600+2000

y=5600

3 0

3 years ago

Pls help figure out part c, part e, and part f

Sedbober [7]

Part c : consecutive interior angle
part e: alternate interior angle
part f : vertical angle

7 0

3 years ago

Why do the graphs tan(x) and y=x^3 look alike?

timama [110]

The key features of the graph include the fact the graphs are periodic.

<h3>How to illustrate the graph?</h3>

It should be noted that a graph is a diagram that represents ban interrelations between variables.

The tan graph is simply the visual representation of the tangent function for a range of angles.

In this case, the graphs have been attached and it can be seen that the tan graph repeats every 180° and is not a continuous curve.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

6 0

2 years ago