1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ss7ja [257]
3 years ago
9

Help it’s slope idk how to do it

Mathematics
1 answer:
Over [174]3 years ago
4 0

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>

<h3>PART A.</h3>

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)}

<h3>PART B.</h3>

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>

<h3>PART C.</h3>

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

You might be interested in
IM IN DESPERATE NEEED!!!<br> What is the solution to this system of equations?
natta225 [31]

Answer:

x + y - x = 6 - y  - 4 \\ y = 2 - y \\ 2y = y \\ y = 1 \\ x + y = 6 \\ x + 1 = 6 \\ x = 5

5 0
3 years ago
What is the value of 1–5|?
n200080 [17]

Answer:nun ya buisness tho

Step-by-step explanation:

Kkkkkk

3 0
3 years ago
Read 2 more answers
A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions
tiny-mole [99]

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

l = 12 + w

The area of a rectangle is

Area = lw

This implies that:

w(12 + w) = 2880

Expand

{w}^{2}  + 12w = 2880

{w}^{2}  + 12w  -  2880 = 0

(x + 60)(x - 48) = 0

This implies that,

w =  - 60 \: w = 48

The dimensions are positive, the width is 48 and the length is 12+48=60

8 0
3 years ago
Jake has a bag of 50 beads, of which some are red and the remaining are yellow. Jake pulls out a bead from the bag, records the
iren2701 [21]
10

3 + 12 = 15 So, for every 15 beads, 3 are red. 15 * 3 = 45 So, 9 beads out of 45 are red.
4 0
3 years ago
Simplify the expression completely. x squared over x to the power of 6
andrezito [222]

\frac{{x}^{2} }{ {x}^{6} }
using one of the law of indices:
{x}^{2 -6}  \\  =  {x}^{ - 4}
which can also be written as
\frac{1}{ {x}^{4} }
6 0
3 years ago
Other questions:
  • Find the next two terms in this sequence 10, 40, 160, __, __
    14·2 answers
  • The length of an swimming pool is best measure in ​
    9·1 answer
  • What is the answer to 3 5/8 - 2 1/8 =
    5·2 answers
  • A rectangular desk drawer is 2⁄3 yard long, 1⁄2 yard wide, and 1⁄5 yard tall. What is the volume of the desk drawer?
    11·1 answer
  • The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle
    15·1 answer
  • When applied to a triangle, a dilation with a positive scale factor does not preserve __________. A. angle measure B. orientatio
    15·2 answers
  • Vincent flipped three coins during a probability experiment. The outcomes of the first 40 trials are shown in the table.
    7·2 answers
  • Solve for x in simplest form (again) You don't need to write out the work for me, you can jus write down the answer you got.
    5·2 answers
  • Adam adds 6 cards to his collection. His dog eats half the next day. There are 44 cards left. How many cards did Adam start with
    14·2 answers
  • It's all on the picture ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!