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lara [203]
3 years ago
11

etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x

− 2y = 4 x + 1 3 y = 2 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

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Answer:

approximately 21, when rounded to nearest tenth.

Step-by-step explanation:

First, let's find the measure of angle BAD. Angles BAD and DAC add up to 180 degrees, so 180-57= 123 degrees. Now, let's find the circumference of the circle. The circumference is diameter * π, which is 19.6(π). Then, the ratio is 123/360, so multiply 19.6(π) by 123/360, and you get 21.0381988...... which simplifies to 21 (rounded to nearest tenth)

4 0
2 years ago
What is the rate of change for the sequence shown below. (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
Nataly [62]

Answer:

0.5

Step-by-step explanation:

The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)

The corresponding sequence is :

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We can see that there is a common difference of d=0.5.

Better still we could use the slope formula:

m =  \frac{y_2-y_1}{x_2-x_1}

We substitute the point (1,2) and (2,2.5).

The rate of change of this sequence is:

m =  \frac{2.5 - 2}{2 - 1}  =  \frac{0.5}{1}  = 0.5

5 0
3 years ago
What is the best method to be use in solving quadratic equation x²+16x+63=0?​
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Step-by-step explanation:

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Answer:

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3 years ago
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