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AnnyKZ [126]
3 years ago
8

Y =1/3 x – 10 2x + y = 4 what is the solution to the system of equations

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

x equals 6 and y equals -8

Step-by-step explanation:

y = 1/3 x - 10 _____(1)

2x + y = 4 ________(2)

put (1) into (2)

2x + 1/3 x - 10 = 4

multiply through by 3

6x + x - 30 = 12

7x - 30 = 12

7x = 42

x = 42/7

x equals 6

put x = 6 into (1)

y = 1/3x - 10

y= 1/3 (6) - 10

y = 2 - 10

y = -8

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A quadratic equation of the form 0 = ax2 + bx + c has one real number solution. Which could be the equation?
Fynjy0 [20]

Answer:

The equation showing this situation is  D=b^2-4ac=0

Step-by-step explanation:

Given : A quadratic equation of the form ax^2 + bx + c=0  has one real number solution.

To find : Which could be the equation?  

Solution :

A quadratic equation in form ax^2+bx+c=0 has a solution x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} called a quadratic formula  in which the roots are one real,two real or no real is determine by discriminant factor.

Discriminant is defined as to determine the number of roots in a quadratic equitation has following rules :

1) If D=b^2-4ac>0 there are two real roots.

2) If D=b^2-4ac=0 there are one real roots.

3) If D=b^2-4ac there are no real roots.

According to question,

A quadratic equation of the form ax^2 + bx + c=0  has one real number solution.

So, The equation showing this situation is  D=b^2-4ac=0

6 0
3 years ago
How do you resolve a ratio problem?!!
3241004551 [841]

Answer:

Identify the known ratio and the unknown ratio.

Set up the proportion.

Cross-multiply and solve.

Check the answer by plugging the result into the unknown ratio.

4 0
3 years ago
(05.07 MC)
Pavlova-9 [17]

Answer:

  0.65 square inch

Step-by-step explanation:

Each triangle has an area given by ...

  A = 1/2bh = 1/2·(0.5 in)(0.4 in) = 0.10 in²

The square base has an area given by ...

  A = s² = (0.5 in)² = 0.25 in²

The total area is that of the square base and 4 triangles:

  S = 0.25 in² + 4×0.10 in² = 0.65 in²

6 0
3 years ago
Read 2 more answers
(2²³+2²)³-(12²)=? helppppppppppppppp
jeka57 [31]

Answer:

Step-by-step explanation:

(8388608+4)<em>3 </em>- (144)

8388612*8388612*8388612=

5.9029665478404E+20-144=5.90296655E20

5 0
2 years ago
At a party, the number of people who ate meatballs was 11 fewer than 13 of the total people. Five people ate meatballs.
Alex_Xolod [135]

Answer:

5=1/3x-11  

Step-by-step explanation:

Add eleven to each side to get 16=1/3x. Then multiply each side by three to get 48=x, so x=48.-step explanation:

7 0
3 years ago
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