Find the length if side x in simplest radical form with a rational denominator

How to solve this system of equations ?<br><br> 3x = y<br> y + 7x = 10

earnstyle [38]

Answer:

x = 10, y = 30

Step-by-step explanation:

Since this already has a y-value, which is 3x, we will use substitution.

3x + 7x = 10

10x = 10

x = 10

Now that we know x, we can figure out what y is.

y = 3(10)

y = 30

7 0

3 years ago

Read 2 more answers

Need math help (last one wouldn't let me upload pic)

Scrat [10]

Answer:

$\text{Area of the figure}=54\text{ unit}^2$

Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}$

$\text{Area of red rectangle part}=42\text{ units}^2$

Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{6 units *1 unit}$

$\text{Area of triangle}=3\text{ unit}^2$

Let us find the area of green triangle.

$\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}$

$\text{Area of green triangle}=3\text{ unit}^2$

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

$\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}$

$\text{Area of blue triangle}=6\text{ units}^2$

Let us add all these areas to find the area of our figure.

$\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2$

$\text{Area of the figure}=(42+3+3+6)\text{ unit}^2$

$\text{Area of the figure}=54\text{ unit}^2$

Therefore, area of our given figure is 54 square units.

3 0

4 years ago

At the movie theatre, child admission is $5.10 and adult admission is $9.40 . on saturday, 158 tickets were sold for a total sal

Viefleur [7K]

Let children be x
Adult be y
5.10x+9.40y=1184.20 ... 1
x+y=158 ... 2

From 1// 510x+940y=118420 ... 3
From 2// y=158-x ... 4

Sub 4 into 3
510x+940(158-x)= 118420
510x+148520-940x=118420
-430x= -30100
x=70

As we know that children are x, 70 children tickets were sold.

8 0

3 years ago

2. What is the value of x? Show all of your work. Answer:

masya89 [10]

Use the Pythagorean theorem:

x^2 + 6^2 = √117 ^2

x^2 + 36 = √117 ^2

Simplify"

x^2 + 36 = 117

Subtract 36 from both sides:

x^2 = 81

Square both sides:

X = 9

7 0

3 years ago

Read 2 more answers

Identify the type of function represented by

SCORPION-xisa [38]

That's definitely an example of exponential decay, since the base (1/2) (also called the "common ratio") is greater than 0 but less than 1.

6 0

4 years ago