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
DIA [1.3K]
2 years ago
13

Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.

Mathematics
2 answers:
beks73 [17]2 years ago
8 0
2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5
slega [8]2 years ago
4 0

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

You might be interested in
QUICK! WHOEVER GETS CORRECT FIRST GETS BRAINLIEST AND 20 POINTS!
Snowcat [4.5K]

Answer: 24ft squared

Step-by-step explanation:

8x3 = 24

3 0
2 years ago
Read 2 more answers
Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line
Natali [406]

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y  + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

6 0
3 years ago
If a/b = c/d, then ad = bc.
Nikolay [14]

Answer:

The statement is true

see the explanation

Step-by-step explanation:

we have the proportion

\frac{a}{b}=\frac{c}{d}

we know that

To solve the proportion multiply in cross

so

(a)(d)=(b)(c)

ad=bc

therefore

The statement is true

7 0
3 years ago
400 &gt;
In-s [12.5K]

For this case we have by definition of trigonometric relations of rectangular triangles that, the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. Then according to the figure we have:

Sin (40) = \frac {CA} {7}

We cleared CA:

AC = 7 * Sin (40)

Answer:

Option A

7 0
3 years ago
Other questions:
  • What is the algebraic expression for <br> “Two less than the product of four and a number”
    8·2 answers
  • As the Head of Research &amp; Development for a young start-up organiza always trying to manage large capital investments to mai
    10·1 answer
  • A parallelogram has an area of 216.24 cm2
    6·2 answers
  • A survey of 80 homes in a Washington D.C. suburb showed that 45 were air conditioned. A sample of 120 homes in a Pittsburgh subu
    12·1 answer
  • What is the classification of the square root of 36
    7·2 answers
  • Rectangles ABCD and EFGH are similar. The perimeter of rectangle ABCD is 5 times greater than the perimeter of rectangle EFGH. W
    14·2 answers
  • Please help last question to pass with a 70%
    10·2 answers
  • I hope u can help me​
    10·2 answers
  • A ship is stationary at sea.
    6·1 answer
  • Explain what independent and dependent variables mean
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!