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3 years ago

Simplify the following completely, show all work.4 + ✓-27

Mathematics

1 answer:

V125BC [204]3 years ago

8 0

Answer:

4+3i $\sqrt{3}$

Step-by-step explanation:

the $\sqrt{-27}$ needs to be simplified

first, I broke it down to $\sqrt{-1}$ and $\sqrt{27}$

$\sqrt{-1}$ simplifies to i ;and can be broken down to $\sqrt{9}$ and $\sqrt{3}$

$\sqrt{9}$ can be simplified further to 3

Now all you have to do is put it together

4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)

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Jim writes 10^4 words every day how many words does he writes in 10^3 days?

Alchen [17]

1,000 words

10^4=10,000
10^3=1,000

7 0

3 years ago

Which relations are functions? Choose all answers that are correct.

-Dominant- [34]

Hello!

In a function, each input has only one output. In A, three has two outputs, 4 and 5, so A is not a function.

In B, you can use something called the vertical line test to see if each x value has one y value as an output. You move an imaginary vertical line across the graph, and if it intersects with two points it is not a function. If we do this on our graph, it will not intersect two points. Therefore, B is a function.

In C, we can see that each input has one output, or there are all different inputs, so C is a function.

For D we can use that vertical line test again. It intersects both the points (-1,1) and (-1,6) so D is not a function

Our final answers are B and C.

I hope this helps!

6 0

3 years ago

Read 2 more answers

Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each.

Nimfa-mama [501]

Step-by-step explanation:

here's your solution

=> total money received by them = $1600

=> the given ratio are 7:5:4

=> let the ratio be X ,now

=> Maria = 7X

=> Carolina = 5X

=> Pedro = 4X

=> we know whole money = $1600

=> so, adding all

=>. 7x + 5x + 4x = $1600

=> 16x = $1600

=> x= $1600/16

=>. x = $100

now Maria = 7*100 = $700

Carolina = 5*100 = $500

Pedro = 4*100 = $400

hope it helps

8 0

3 years ago

The diagonals of a kite separate the quadrilateral into four congruent triangles

statuscvo [17]

If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
hope this helps :)

6 0

3 years ago

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

Semenov [28]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

$d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9$

7 0

4 years ago

Simplify the following completely, show all work.4 + ✓-27​

Simplify the following completely, show all work.4 + ✓-27