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3 years ago

Which situation models combining a number and its additive inverse to make 0?

Mathematics

2 answers:

abruzzese [7]3 years ago

6 0

The answer is b because -8 +8 is 0

astraxan [27]3 years ago

4 0

Answer: Choice C)

The reason why is because we start of with $25 and then add on -25 to indicate his balance is going to $0 after it is taken out.

In other words, 25 + (-25) = 25 - 25 = 0

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3 years ago

What is the factored form of the polynomial?

Ilya [14]

(x-9)(x-3), because -9 and -3 make a sum of -12 and a product of +27

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3 years ago

Read 2 more answers

If a = √3-√11 and b = 1 /a, then find a² - b²

Serga [27]

If $b=\frac1a$ , then by rationalizing the denominator we can rewrite

$b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8$

Now,

$a^2 - b^2 = (a-b) (a+b)$

and

$a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8$

$a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8$

$\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}$

5 0

2 years ago

A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is

seropon [69]

Answer:

$71.33$ degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

$cos\alpha = \frac{B}{L}$

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

$Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33$

4 0

3 years ago

at the pet fair, Darlene's dog weighed 5 times as much as leah's dog. Together, the dogs weighed 84 pounds. how much did each do

Alex

Let x = Darlene's dog's weightlet y = Leah's dog's weight x = 5yx + y = 84 so, 5y + y = 84, which means 6y = 84 so, y = 84/6 = 14x = 5(14) = 70 Darlene's dog = 70 lbs, Leah's dog = 14 lbs.<span> </span>

4 0

3 years ago