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3 years ago

Can someone please answer this question please answer it correctly and please show work please help me I need it

Mathematics

1 answer:

Arlecino [84]3 years ago

8 0

Answer:

Addition equation = -11

Subtraction equation = -2

Step-by-step explanation:

The number line are both in the negative region!

The longer arrow = -9

The shorter arrow = -2

An ADDITION EQUATION = -9 + (-2)

= -9 - 2

= -11

A SUBTRACTION EQUATION = -9 - (-2)

= -9 + 2

= -7

Enjoy!

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3 years ago

Find the constant $p$ such that $x^2 - 5x + p$ is the square of a binomial.

zhenek [66]

Answer:

$p = \frac{25}{4}$

Step-by-step explanation:

Given

$x\² - 5x + p$

Required

Find p, such that the expression is a perfect square

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Next step is to divide the coefficient of x by 2

$Result = \½(-5)$

Take the square of the above expression to give p

$p = (\½(-5))\²$

$p = (\½(-5) * (\½(-5)$

$p = \½ * \½ * (-5) * (-5)$

$p = \¼(25)$

$p = \frac{25}{4}$

Substitute 25/4 for p in the given expression

$x\² - 5x + p$ becomes

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$x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}$

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$x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})$

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Hence, the value of p is $p = \frac{25}{4}$

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3 years ago