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victus00 [196]
3 years ago
11

Alex's work for the following quiz problem is as follows: Is Alex correct? if it's incorrect, what is the correct solution?

Mathematics
1 answer:
exis [7]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

\sqrt{10} and \sqrt{5} cannot be simplified as they are already in simplest form.

Note that \sqrt{10} + \sqrt{5} ≠ \sqrt{15}

Thus

2\sqrt{10} + 5\sqrt{5} ← cannot be simplified any further

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How do i find the slope
Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

5 0
3 years ago
It takes 54 minutes for 4 people to paint 6 walls. How many minutes does it take 6 people to paint 7 walls?
Nady [450]
It takes 35 mins for 6 people to paint 7 walls if you would like this answer described to you let me know please 
6 0
3 years ago
Read 2 more answers
Delta Math:<br> Finding Angles (Level 1) 1/5<br> Full explanation please<br> will give brainlist
olga nikolaevna [1]

Answer:

m\angle FGC =101\degree

Step-by-step explanation:

m\angle CBF = 46\degree (Given)

m\angle FIG = 55\degree (Given)

m\angle IFG = m\angle CBF (Corresponding angles)

\implies m\angle IFG = 46\degree

m\angle FGC =m\angle IFG+ m\angle FIG

(By exterior angle theorem)

m\angle FGC =46\degree+ 55\degree

m\angle FGC =101\degree

4 0
2 years ago
Part A: What is the measure of line RV. <br>Part B: What is the measure of line PV​
Korvikt [17]

Answer:

RT=6.5

PV=7.3

Step-by-step explanation:

5 0
2 years ago
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim
Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or 4\ \text{inch}^3.

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or \text{cm}^3.

4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3

So, the volume of the ball is 65.548 cm³.

7 0
3 years ago
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