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3 years ago

Find the midpoint of the segment from Point A (1, 0.5) to Point B (0.5, 2)

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Use the midpoint formula:

( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

M=(1.5/2,2.5/2)
M=(0.75,1.25)

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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. they decided to spli

Savatey [412]

Answer:

A, c(excluding tip, if the tip is included then c is not the answer)

Step-by-step explanation:

I solved the Equations:

A)1/8(x+16)=76/8----60 (this is the correct answer!)

B)1/8(x+16=76)------ 592 (NOT the correct answer

c)x=60 Represents total food bill excluding tip

d) x=60 does represent each friends share of the food bill

E) not correct

5 0

4 years ago

Help it’s slope idk how to do it

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

Sweatshirt = $32 t-shirts = $14 ,

rodikova [14]

Cost of a sweatshirt = $32
Then
Cost of 14 sweatshirts = (32 * 14) dollars
= 448 dollars
Cost of a t-shirt = $14
Cost of 32 t-shirts = (32 * 14) dollars
= 448 dollars
So it can seen from the deduction that the cost of 14 sweatshirts and 32 t-shirts comes out to be same and equal to $448. I hope the answer and the procedure of doing this problem is clear to you. It is important to look at all the details given in the question and then start solving the problem.

4 0

3 years ago

Read 2 more answers

The mass of substances left in a sample

professor190 [17]

This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.

<h3>Why should Kim classify the water as gaseous?</h3>

Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.

Matter can exist in various states. They are: