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natima [27]
3 years ago
10

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider this s

ystem of equations: x + 2y = -13 12x + 5y = -4 The solution of this system of equations is ( , ).
Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer:

<u>The solution of this system of equation is ( 3, - 8)</u>

Step-by-step explanation:

1. Let's solve the system of equations:

First equation:

x + 2y = - 13

x = - 13 - 2y

Second equation:

12x + 5y = -4

12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)

-156 -24y + 5y = - 4

-24y + 5y = - 4 + 156 (Like terms)

-19y = 152

y = - 152/19

<u>y = -8</u> (Dividing by 19)

Solving x

x + 2y = -13

x + 2 (- 8 ) = - 13

x - 16 = - 13

x = - 13 + 16

<u>x = 3</u>

2. Proving that x = 3 and y = - 8 are correct:

12x + 5y = -4

12 * 3 + 5 * -8 = -4

36 - 40 = - 4

- 4 = - 4

<u>We proved that x = 3 and y = - 8 are correct</u>

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Which graph represents (x,y)-pairs that make the equation y=0.5+5 true?
satela [25.4K]

Answer:

Choice C

Step-by-step explanation:

Notice that the equation y = 0.5 x + 5

is a linear equation so the points that are solutions of it must reside on a line. Option A does not show aligned points, so it cannot be a possible answer.

Option B: we look into the given points and notice that just the first one (1, 0) is NOT a solution to the equation because:

y = 0.5 (1) + 5 = 5.5 and not "0"

Option C: This is the correct answer, since all those points satisfy the equation

Point (2, 6)  -->  y = 0.5 (2) + 5 = 1 + 5 = 6

Point (4, 7)  -->   y = 0.5 (4) + 5 = 2 + 5 = 7

Point (6, 8) -->   y = 0.5 (6) + 5 = 3 + 5 = 8

4 0
3 years ago
How many planes can you draw through 3 collinear points?
melomori [17]
I think 1 is your answer  Because 3 points will determine a plane.
6 0
3 years ago
Find the value of x. Round to the nearest tenth.
Helga [31]

Answer:

x = 22.1°

Step-by-step explanation:

Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad

Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad

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4 0
2 years ago
The value of B is __ <br> The value of a
Advocard [28]

Answer:

The value of B is 11 times the value of a.

Step-by-step explanation:

a =|   2    |   4   |    7    |   10    |

b =|  22  |   44  |    77  |   110   |

22          44       77          110

÷2          ÷4        ÷7         ÷10

---------   --------   -------     ---------

11            11           11           11

I hope this helps!

5 0
2 years ago
Read 2 more answers
Help could you explain step by step?
mel-nik [20]

Answer:

x = 2 , y = 11

Step-by-step explanation:

the diagonals of a parallelogram bisect each other , then

PT = TR , that is

y = 5x + 1 → (1)

QT = TS , that is

2y = 6x + 10 → (2)

substitute y = 5x + 1 into (2)

2(5x + 1) = 6x + 10

10x + 2 = 6x + 10 ( subtract 6x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

substitute x = 2 into either of the 2 equations for corresponding value of y

substituting into (1)

y = 5(2) + 1 = 10 + 1 = 11

6 0
1 year ago
Read 2 more answers
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