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BartSMP [9]
3 years ago
14

Find the solution to the system 4x - y = -12 and -x - y = 3

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

x = -3

y = 0

Step-by-step explanation:

4x - y = -12

-x - y = 3

__________--

5x = -15

x = -15/5

x = -3

-x - y = 3

-(-3) - y = 3

3 - y = 3

-y = 3 - 3

y = 0

rjkz [21]3 years ago
6 0

Answer:

Equation Form :  x=-3   y =0      

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What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
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The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

2\cdot c \cdot x = 2 (1)

Then, we have the following system of equations:

y = 2\cdot x + 3 (1)

y = c\cdot x^{2} (2)

c\cdot x = 1 (3)

Whose solution is shown below:

By (3):

c =\frac{1}{x}

(3) in (2):

y = x (4)

(4) in (1):

y = -3

x = -3

c = -\frac{1}{3}

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

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Answer:

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Step-by-step explanation:

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