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iren [92.7K]
3 years ago
5

Can someone explain a justification of each step? I was absent for a while so I'm behind. Thank you.

Mathematics
1 answer:
AysviL [449]3 years ago
6 0
First,B bisects AC, this means that B dovids AC into two equal halves. therefore AB=AC
second and third steps are just isolating the terms containg y on one side of the equation and the other terms on the other side.
finally you have 3y=15, to get the value of y,you divide both sides of the equation by 3.
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Need help with math homework
Pavel [41]

Hello!

The answer for A is:

X1=-1\\X2=5

The answer for B is: The rocket will hit the lake surface in 5 seconds.

<h2>Why?</h2>

Defining the terms:

a=-16\\b=64\\c=80\\

So, replacing it in the quadratic equation (it's given to you in the exercise)\\

x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

x=\frac{-64+-\sqrt{64^{2}-4*-16*80 } }{2*-16}

x=\frac{-64+-\sqrt{64^{2}+5120} }{-32}=\frac{-64+-\sqrt{4096+5120} }{-32}\\x=\frac{-64+-\sqrt{9216} }{-32}=\frac{-64+-\ 96 }{-32}\\x=\frac{-64+-\ 96 }{-32}\\x1=\frac{-64+\ 96 }{-32}=\frac{32}{-32} =-1\\\\x1=\frac{-64-\ 96 }{-32}=\frac{-160}{-32} =5\\

We are working with a quadratic equation, so we will have two possible results,

X1=-1\\X2=5\\

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.

Have a nice day!

5 0
4 years ago
What is the r-value of the following data, to three decimal places?
Angelina_Jolie [31]

Answer:

C) -0.828

Step-by-step explanation:

(I used a regression calculator)

7 0
3 years ago
If one dude has 22 cookies, and then he gets robbed every day for his cookies at a rate of 2 cookies per day, how many cookies d
jolli1 [7]
22-14= 8
He has 8 cookies at day 7.
4 0
3 years ago
Read 2 more answers
Round 481 to the nearest<br> tens place?
nydimaria [60]

480.

There is 1 before 8. And 1 is below not 5 or more in order to round up to 490. So, the only choice is to stay at 480. Therefore, the answer is 480.

4 0
3 years ago
Mrs. cugini collected data on the hand span length and height of each of her Algebra 1 students.
dem82 [27]
<h3>a. slope = \displaystyle m=\frac{15}{2}</h3><h3>b. slope = m = positive = positive correlation =  two sets of data increase together</h3><h3>Further explanation</h3>

Scatter plot shows the relationship between data

We can use Regression to make lines on the chart or you can also make lines with the principle as close as possible to all points

Regression

\displaystyle m=\frac{N\sum (xy)-\sum x\sum y }{ N\sum (x^2)-(\sum x)^2}

Because data is in the form of numbers from the hand span length and height of each of students. not displayed clearly, then we make a line directly by making points on the graph above and below the line as much as possible to be balanced

We specify 2 points that are crossed by a line, for example:

(6.45) and (8.60)

slope (m) = change in y / change in x

\displaystyle m=\frac{60-45}{8-6}\\\\m=\frac{15}{2}

Slope has a positive value, and shows a positive correlation where the tendency of the number rises simultaneously, or can be concluded:

<em>tall students will have the long hand span length too</em>

<h3>Learn more</h3>

Line equation

brainly.com/question/10955762

Keywords : line equation, slope, regression, the hand span length and height, graph, Scatter plot

#LearnWithBrainly

7 0
4 years ago
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