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crimeas [40]
3 years ago
10

- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x = 9 6.36 16 7

Mathematics
1 answer:
Natalija [7]3 years ago
4 0

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

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PLZ HELP ASAP!!
Lilit [14]

The measure of first angle is 34 degrees and measure of second angle is 56 degrees

<em><u>Solution:</u></em>

Given that, the exterior sides of two adjacent angles make a right angle

Therefore, these adjacent angles forms 90 degrees

Let the second angle be "x"

The first angle has a measure that is six more than half the second

Therefore,

first angle = 6 + half of "x"

\text{ first angle } = 6 + \frac{x}{2}

Since these two angles forms 90 degrees,

first angle + second angle = 90

x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56

<em><u>Therefore, first angle is:</u></em>

\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees

6 0
3 years ago
Divide 4 2/3 &amp; 3 1/3. Simplify the answer and write it as a mixed number.
Leto [7]

Answer:

4 2/3 ÷ 3 1/3= 1 2/5

Step-by-step explanation:

First, you turn the mixed terms into an improper fraction like this

4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.

3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.

Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10

14 × 3 = 42 and 3 × 10= 30

Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:

(For this you need to find the greatest common factor)

42/30 →  42 and 30 greatest common factor is 6 because they are divisible and factor of 6.

Now you divide both the denominator and the numerator y 6 like this:

42 ÷ 6= 7

30 ÷ 6= 5

Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.

Overall, We have our answer 1 2/5

I hope this helps :D  

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