Please help due tomarrow good luck

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

The y-intercept can be found setting $x=0$ . So, from our equation:

$y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600$

So the y-intercept is $y=600$ and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0

3 years ago

Solve for x:<br>(x-1)^3/2 = 27

Alex_Xolod [135]

(x-1)^3 / 2 = 27

For equations like this, we want to isolate x in order to get the value of it.

First, let's multiply both sides by 2 to eliminate the fraction.

(x-1)^3 = 27(2)

Now, let's take the cube root of both sides

(x-1) = ∛(27 * 2)

Now, simplify the root

x - 1 = 3∛2

Add both sides by 1

x = 1 + 3∛2

That's your answer.

Have an awesome day! :)

8 0

3 years ago

Read 2 more answers

2 1/4 x2 1/4 in mixed number

maks197457 [2]

Answer:

$5 \frac{1}{16}$ is the answer.

Step-by-step explanation:

Given:

$2 \frac{1}{4} \times 2 \frac{1}{4}$

<u>Step 1: Converting the mixed fraction into fraction:</u>

Multiply 4 by 2 add 1 to the result.

<u></u> $2\frac{1}{4}$ = $\frac{4 \times 2+1}{4}$

= $\frac{8+1}{4}$

= $\frac{9}{4}$

<u>Step 2: Performing the multiplication using the fraction</u>

= > $\frac{9}{4} \times \frac{9}{4}$

=> $\frac{81}{16}$

<u>Step 3: Converting the product back to mixed fraction </u>

divide 81 by 16 and find the remainder

=> $quotient \frac{remainder}{divisor}$

Dividing 81 by 16 we get 5 as quotient and 1 as remainder

Thus the result in mixed fraction will be

=> $5 \frac{1}{16}$

4 0

3 years ago

Which of the following represents the graph of f(x) = 2(x + 3)?

Yuliya22 [10]

We have that

the correct expression is
y=2<span>^</span>(x+3)

using a graph tool
see the attached figure

the answer is the option C

3 0

3 years ago

What is BE ?<br> Please explain it in full dont just give me an answer

posledela

There are two methods to solve this problem. One of them is the typical method and the other one is the short-cut. I will explain the shortcut

Short-cut:
This method is quick and easy, and works with ALL triangles, which is why I suggest you use this. You make proportions. Since the triangles are similar, we can use CPCTC. Thereafter,
$\frac{AD}{CE}= \frac{DB}{EB}$

Now, you just need to identify the terms, substitute, and solve for the unknown, which would be k.

$\frac{12}{3} = \frac{k+5}{k-7} \\ 12(k-7)=3(k+5) \\ 12k-84=3k+15 \\ 9k=84+15 \\ 9k=99 \\ k=11$ [/tex]

So we found k, but it is asking for BE. Therefore, plug in the value of k, which is 11, into the expression for BE, which is k-7.

BE=K-7
k=11
BE=11-7
BE=4

Your answer is 4.

5 0

3 years ago