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
Sergeeva-Olga [200]
3 years ago
8

2x-y=6 and 5x+10y=-10

Mathematics
1 answer:
horsena [70]3 years ago
6 0
2x - y = 6
5x + 10y = -10

<span>( 2x - y = 6 ) * 5
</span>10x - 5y = 30

<span>( 5x + 10y = -10 ) * 2
</span>10x + 20y = -20

If we subtract the last 2 equations,
30y = -50
y = -(5/3)

2x - (-5/3) = 6
2x + (5/3) = 6
2x = 6 - (5/3)
2x = (18-5)/3
2x = 13/3
x = 13/6

You might be interested in
8-35. Use your knowledge of polygons to answer the questions below, if possible.
Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is 1980^0

Then:

(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13

The polygon has <u>13 sides.</u>

II. If the Interior angle is 900^0

Then:

(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: \frac{360^0}{n}

If the exterior angle of a regular polygon is 90°

Then:

90\°=\frac{360^0}{n}\\ 90n=360\\n=4

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is:  \frac{(n-2)180^0}{n}

For a pentagon, n=5

Then:

\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

57+74+56+66+x=360^0\\253+x=360\\x=107^0

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180=1620^0

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

3 0
3 years ago
What are the coordinates of the point obtained if the point A=(3,7) is rotated 180 degrees about the origin?
Yuliya22 [10]

Answer:

B. (-3, -7)

Step-by-step explanation:

Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.

-3 is the opposite of 3 and -7 is the opposite of 7.

Therefore, your new coordinates are (-3, -7)

(x,y) becomes (-x,-y)

8 0
3 years ago
Please solve eedfefsre3dfve
Lubov Fominskaja [6]
It will be 6 cause it is going by 1+ 1,2,3,4,5,6 (if it was 1,3,6,9, it will be 12 cause it is going by 3+) so answer is 6
5 0
1 year ago
Read 2 more answers
Stanley earns $28 for every 2 hours that he works. How much money does he earn during a given amount of time?
baherus [9]

Answer:

e = 14x, where x is the number of hours he works, and e is the total earnings.

5 0
3 years ago
Read 2 more answers
Jamey took a picture to use as a logo for his company. The picture is 24 in. wide  ×  36 in. high. The logo is 6 in. wide. 
ikadub [295]
I believe it would be 9 inches in height.
(1/4)*36=9
hope this helps!
6 0
3 years ago
Other questions:
  • Clock lost 1 minute and 18 seconds in 39 days. How many seconds did it lose per day?
    6·2 answers
  • Brandon bought hot peppers to sell in the market.
    12·1 answer
  • Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
    8·2 answers
  • Can someone answer these 2 questions please?
    5·1 answer
  • The slope of M'N' is ?
    13·1 answer
  • 1 Determine the volume of the square pyramid shown. Give an exact answer.
    10·2 answers
  • Need help with homework <br><br> 5x1/16
    15·1 answer
  • Kari was putting new carpet in her square
    12·2 answers
  • Please answer I've got 10 mins
    5·1 answer
  • Help please, also provide work
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!