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3 years ago

How do I prove that these are the vertices of an isosceles triangle: (-3,0), (0,4), (3,0)?

1 answer:

3 0

In an isoceles triangle two angles are equal
if u take the coordinates and apply it in the graph it makes and isoceles triangle
as the y-axis is zero two of the ends will be level and x-axis is equal on both sides of the origin so (0,4) will be the third non equal angle

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Answer:

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Step-by-step explanation:

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3 years ago

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wariber [46]

Correct Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?

12345 [234]

Answer:

$2(x-1)^{2}=4$

Step-by-step explanation:

<u><em>The options of the question are</em></u>

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

$2x^{2} -4x-2=0$

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

$y=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

$2(x^{2} -2x)-2=0$

Complete the squares

$2(x^{2} -2x+1)-2-2=0$

$2(x^{2} -2x+1)-4=0$

Rewrite as perfect squares

$2(x-1)^{2}-4=0$

The vertex is the point (1,-4)

Move the constant to the right side

$2(x-1)^{2}=4$

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3 years ago

As an introduction to probability, a student asked to roll a fair, six sided number cube seven times the results of those seven

frosja888 [35]

Using it's concept, the standard deviation of the data is of 3.742.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.

The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

$S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742$