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sleet_krkn [62]
3 years ago
12

2x²+12x-7 =0 (completing the square) give your answer to 2 decimal places

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

x1 = 0.54

x2 = –6.55

Step-by-step explanation:

use the calculator

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Step-by-step explanation:

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If f(x) = x and g(x) = 2x + 7, what is<br>f[90X)] when g(x) = 11?​
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3 years ago
What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced
il63 [147K]

Answer:

The equation of the line is y = \frac{4}{3} x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}

→ Simplify it by dividing up and down by 2

∴ m = \frac{4}{3}

→ Substitute its value in the form of the equation above

∴ y = \frac{4}{3} x + b

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∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = \frac{4}{3} x + 2

∴ The equation of the line is y = \frac{4}{3} x + 2

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