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Virty [35]
3 years ago
13

When graphing a line, what are the y-intercept equations for 2 perpendicular lines?

Mathematics
1 answer:
Savatey [412]3 years ago
3 0
Say you have 2 perpendicular lines that are:

y=2x+2

y=- \frac{1}{2} -2

These lines are perpendicular because the slope is the negative reciprocal(flip the numerator and denominator EX: \frac{2}{1}=2 therefore the negative reciprocal is - \frac{1}{2}) and the y-intercept is just where each of the lines cross the y-axis.
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Which of the following statements are true for sin (-430°)
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Answer:

Step-by-step explanation:

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Station A and Station B are 120 miles apart. A train traveling from station A to station B travels exactly 1/3 of the distance w
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60

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60

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4 years ago
Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)
natima [27]

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any  trial and error.

For this case, the given quadratic expression is:

4x^2 + 28x + 49

So we've to find two numbers such that:

Their sum = b =  28

Their product = ac = 4\times 49 = 196

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 =  2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49  = (2x+7)(2x+7)

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

8 0
2 years ago
Seven less than one half of x
damaskus [11]

Answer:

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Step-by-step explanation:

any number which is said to be less than another number let's say b should be subtracted from b.

7 0
3 years ago
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