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3 years ago

Solve the quadratic equation by completing the square: 6x²-11x-10=0

Mathematics

1 answer:

mart [117]3 years ago

7 0

Step-by-step explanation:

<h2> 6x² - 11x - 10 =0</h2><h2>{use splitting middle term method} </h2><h2> -60x²</h2>

 | |

 -4. +15

<h2>there fore x = 2</h2>

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3 years ago

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4 y=

stellarik [79]

Correct answer: y = $\frac{1}{3}$ x + 2

To find out the slope, you would need to remember this slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as $x_{1}$ and $y_{1}$ , and (0, 2) as $x_{2}$ and $y_{2}$ . Now we can plug these numbers into the slope formula to find out the slope:

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ → $\frac{2-3}{0-3}$ → $\frac{-1}{-3}$ → $\frac{1}{3}$

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You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

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3 years ago

0.2x + 0.3y = 1.3. 0.4r + 0.5y = 2.3. solve by using substitution

Alexxandr [17]

Answer:

x=2, y=3.

Step-by-step explanation:

0.2x + 0.3y = 1.3

0.4x + 0.5y = 2.3

From the first equation y = (1.3 - 0.2x) / 0.3

Substituting in second equation:

0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3

Multiply through by 0.3:

0.12x + 0.5(1.3 - 0.2x) = 0.69

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y = 3.

Check in equation 2:

0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.

- Correct.

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3 years ago

Solve the quadratic equation by completing the square: 6x²-11x-10=0 ​

Solve the quadratic equation by completing the square: 6x²-11x-10=0