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3 years ago

Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

$x= +2\sqrt{5} or -2\sqrt{5}$

Step-by-step explanation:

for the given equation,

$4 - x^{2} = -16$

using rules of equation and inverse operations as isolating x on one side of equation,

interchanging sides of equation we get,

$x^{2} =20$

$x= +\sqrt{20} or x= -\sqrt{20}$

$x= +2\sqrt{5} or x= -2\sqrt{5}$

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denis23 [38]

The graph is not shown

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3 years ago

For positive test result, the number of those who did not lie and lie are 11 and 41, respectively. Those of the negative test re

vagabundo [1.1K]

P(subject lied | negative results) = 4/19

P(negative results | subject lied) = 8/49

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

3 0

3 years ago

Please help me!<br> Hint: the number is negative

wel

Answer:

$-36$ goes into the box

Step-by-step explanation:

Let the number be $x$ , then

$(m^x)^{\frac{1}{3}}=m^{-12}$

We now use the following property of exponents to simplify the left hand side of the equation.

$(a^m)^n=a^{mn}$

This implies that;

$m^{x\times \frac{1}{3}}=m^{-12}$

$\Rightarrow m^{\frac{x}{3}}=m^{-12}$

Since the bases are the same, we equate the exponents to get;

${\frac{x}{3}=-12$

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$\frac{x}{3}\times 3=-12\times 3$

$\Rightarrow x =-36$

Therefore the number that goes into the box is $-36$

6 0

3 years ago

You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does

jolli1 [7]

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

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3 years ago

Prove that two non-zero vectors are collinear if and only if one vector is a scalar multiple of the other.

erastovalidia [21]

The Prove that two non-zero vectors are collinear if and only if one vector is a scalar multiple of the other is given below.

<h3>What are the proves?</h3>

1. To know collinear vectors:

∧ ⁻a ║ ⁻a

If ⁻b = ∧ ⁻a

then |⁻b| = |∧ ⁻a|

So one can say that line ⁻b and ⁻a are collinear.

2. If ⁻a and ⁻b are collinear

Assuming |b| length is 'μ' times of |⁻a |

Then | 'μ' ⁻a| = | 'μ' ⁻a|

So ⁻b = 'μ' ⁻a

Learn more about vectors from

brainly.com/question/25705666

#SPJ1

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2 years ago