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If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.

Answer:

$y = 3\, \sqrt{5}$ when $x = 9$ .

Step-by-step explanation:

The question states that $y$ is proportional to $\sqrt{x}$ . In other words, there is a constant $a$ ( $a \ne 0$ ) such that $y = a\, \sqrt{x}$ for all $x \ge 0$ .

The question also states that $y = x$ when $x = 5$ . Make use of this equality to find the value of $a$ .

Since $x = 5$ and $y = x$ , it must be true that $y = 5$ . Substitute $x = 5\!$ and $y = 5\!$ into the equation $y = a\, \sqrt{x}$ and solve for $a$ :

$5 = a\, \sqrt{5}$ .

$\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}$ .

Thus, $y = \sqrt{5}\, (\sqrt{x})$ for all $x \ge 0$ .

Substitute in the value $x = 9$ to find the corresponding value of $y$ :

$\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}$ .

6 0

2 years ago

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): 7π/3

Ierofanga [76]

Answer:

400 degrees

Step-by-step explanation:

Step 1 : To convert radians to degrees, multiply the given radian by 180/pi

7pi/3 x 180/pi

Step 2 : Cancel pi

7/3 x 180

= 420 degrees

Step 3 : Round it to nearest 100

Since 20 is closer to 400 than 500 therefore it will be rounded off to

400 degrees

!!

6 0

3 years ago

Read 2 more answers

What is the common factor to 42 and 70

german

Answer:

14

Step-by-step explanation:

✩brainliest appreciated✩

8 0

3 years ago

Read 2 more answers

Which of the following is a radical equation?<br> Ox√3=13<br> O x+√3=13<br> O√x+3=13<br> O x+3=√13

sashaice [31]

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

8 0

1 year ago

Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the las

Aleks04 [339]

Answer:

Sharon

Step-by-step explanation:

The given parameters are;

The number of persons that rode on the small train = 5

The number of cars in the train = 5

The position Maren sat = Last car

The position Aaron sat = Directly behind Sharon

The position Darren sat = In one of the cars in front of Aaron

The position of one of the members = Between Karen and Darren

The given seating arrangement is as follows;

Maren → Aaron → Sharon → Darren → Karen

Therefore, the person who sat in the middle car is Sharon.

7 0

2 years ago