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zalisa [80]
3 years ago
11

What is the solution to this system of linear equations: y-x=4 and y+2x=1

Mathematics
1 answer:
ddd [48]3 years ago
5 0
 -x + y = 4
<u>2x + y = 1</u>
    <u>-3x</u> = <u>3</u>
     -3    -3
       x = -1
   -x + y = 4
-(-1) + y = 4
     1 + y = 4
 <u> - 1         - 1</u>
           y = 3
(x, y) = (-1, 3)
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What is the next value 1I2L3F4
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The given terms can be divided into two sections. First section is for the numbers and the second one for the letters.

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2nd section:    I, L, F


I is the 9th letter in the alphabet, L is the 12th letter, and F is the 6th letter in the alphabet. 

The pattern observed:
                    I to L:    12 - 9 = 3
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Next letter should be +9. This means that the letter should be 9 places higher than F. The letter should be O which is the 15th letter. 
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Points J and K lie in plane H. Plane H contains two points. Point J is to the lower left and point K is to the uppercase right.
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Answer:

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4 0
4 years ago
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In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

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= 360° - 200°

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Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

m\angle 1 = 180\degree- 160\degree

\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}

Alternate method:

m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]

\implies m\angle 1 = 180\degree- [360\degree-200\degree]

\implies m\angle 1 = 180\degree- 160\degree

\implies m\angle 1 = 20\degree

6 0
3 years ago
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The diagonals of a rectangle have length 12 and intersect in a 40 degree angle. Find the length and width rounded to the nearest
Tamiku [17]

Answer:

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Step-by-step explanation:

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Hence the length is 7.7 and width is 9.2

4 0
3 years ago
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