How can you use place value and partial products to multiply 2 digit numbers?

What is the solution of the equation over the complex numbers

denis-greek [22]

Answer:

$2i\sqrt{3}$

$-2i\sqrt{3}$

Step-by-step explanation:

$x^2 + 12$

First set the equation to 0

$x^2 + 12$

$x^2 + 12 = 0$

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

$x^2 + 12 = 0$

$x^2 + 12 + (-12) = 0 -12$

$x^2 = -12$

Square root both sides of the equal sign.

$x^2 = -12$

$\sqrt{x^2} = \sqrt{-12}$

Take the square root on left sides of the equal sign.

$\sqrt{x^2} = \sqrt{-12}$

$x = \sqrt{-12}$

Take the square root on the right side of the equal sign. Remember $\sqrt{-1} = i$

$x = \sqrt{-12}$

$x = \sqrt{4}*\sqrt{-1}\sqrt{3}}$

$x = 2i\sqrt{3}$

AND

$x = -2i\sqrt{3}$

8 0

3 years ago

rob is asked to graph this system of equations: 6x + 2y = 5; y + 3x =2; how many times will the lines intersect? A. there is no

9966 [12]

Answer:

C

Step-by-step explanation:

A and B are wrong and with D they wouldn't be lines so imma go with C.

Sorry if it's wrong.

6 0

2 years ago

Complete the square f(x) = x^2 + 4x - 8 PLZ help me ;c

Semenov [28]

Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x

x=-2+2√3 or -2-2√3
that is where the x intercept are

and completed square form is
f(x)=(x+2)²-12

6 0

3 years ago

Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 100

marissa [1.9K]

The mean is the average of the numbers.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is

100+65+120+150+90+0+x=525+x.

The number of days is 7.

Thus, the mean is

$\text{mean}=\dfrac{525+x}{7}.$

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

$\dfrac{525+x}{7}=100,\\ \\525+x=700,\\ \\x=700-525,\\ \\x=175.$

Answer: 175 sit-ups

5 0

2 years ago

please help me understand tell me what the answer is and explain I will give all my points. Thank You

Aleksandr-060686 [28]

Ok so Jesse is 10-15%
Margie is <10%
Pietro is >15%
Susana is 10%-15%
And I think Raul maybe >15%

Basically you can determine how far off they are by doing the number they guessed divided by the actual number (132) so for Jesse I did 120/132 and I got .909 and so on. Just take the two numbers after the decimal and that’s your percent. So the .909 is about 90% so now do 100% (of the 132) - 90 and you get 10. So I put 10%-15%

4 0

2 years ago