All categories

3 years ago

Which property of addition is shown below?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

4 0

Answer: Last option

inverse property

Step-by-step explanation:

The property of the inverse sum says that if we have a number b and we add it with its negative -b then

$b - b = 0$

In this case we have that:

$x = a + bi$

and

$y = -b - bi$

Note that

$y = -x$

Therefore:

$x + y = x -x= a + bi - a - bi = 0$

the answer is the last option

You might be interested in

HELP NEEDED ASAP!!! HELP IS MUCH APPRECIATED

spin [16.1K]

There all wrong though ? how could the others be like that but the answer choices way off

7 0

3 years ago

Equivalent expressions for -5(3-2x)

rjkz [21]

Answer:

-15 + 10x

Step-by-step explanation:

<u>Use distributive property:</u>

-5(3-2x)

=-15 + 10x

8 0

2 years ago

Any ideas for this question

goblinko [34]

<h3>Answer: 36pi (choice b)</h3>

===========================================================

Explanation:

Let x = length of side BC

This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD

If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly $\sqrt{12-x}$

This is the radius of the cylinder

The volume of a cylinder is $V = \pi*r^2*h$

Plug in the radius and height mentioned to get this function in terms of x

$V = \pi*\left(\sqrt{12-x} \ \right)^2*x$

That simplifies to

$V = \pi(12-x)x$

$V = \pi(12x-x^2)$

Ignore the pi portion for now.

We wish to maximize the function f(x) = 12x-x^2

Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)

This means x = 6 leads to the largest f(x) value being 36.

Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.

6 0

2 years ago

Evaluate: |18|<br> A:1/18<br> B:-1/-18<br> C:-18<br> D18

masya89 [10]

Answer will be D. Absolute value can never be negative.

4 0

3 years ago

The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th

Yanka [14]

Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since, triangle ABC is similar to triangle ADE, thus using basic proportions, we get

$\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}$