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Anna11 [10]
3 years ago
12

What is the equation in point slope form of the line passing through (0,5) and (-2,11)

Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is

\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}. Here

\frac{y_2-y_1}{x_2-x_1} is the slope of the line.

Substituting numerical values, the equation of the line is

\frac{x-0}{y-5} =\frac{-2-0}{11-5} \\ \frac{x}{y-5} =-\frac{1}{3} \\ 3x=5-y\\ 3x+y=5

The equation of the line is 3x+y=5

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For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

x = \frac {-14 \pm \sqrt {(196-452)}} {2}

x = \frac {-14 \pm \sqrt {-256}} {2}

By definition: \sqrt {-1} = i

x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

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x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


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I need help please reply quickly higher gcse question
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Answer:

105 cm²

Step-by-step explanation:

The figure is composed of a rectangle and a triangle

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area of triangle = \frac{1}{2} bh ( b is the base and h the height )

Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus

area of triangle = \frac{1}{2} × 6 × 5 = 3 × 5 = 15 cm²

Total area = 90 + 15 = 105 cm²

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The approximate decrease is around 66 percent.
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Given the information below, write the conclusion in context. 1. H0 : The proportion of defective batteries = 0.02 2. HA : The p
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Answer:

z = -1.23

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

p_v = P(z

And for this case using a significance level of \alpha=0.05 ,0.1 we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

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The statistic for this case is given by:

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Answer:

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Step-by-step explanation:

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