From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that $\\ (x+2)^{2}$ + $y^{2}$ =42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y= $\sqrt{42}$ . Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y= $\sqrt{42}$ +2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+ $\sqrt{42}$ +2. now we know what X is equal to. Now we plug in x for $\\ (x+2)^{2}$ + $y^{2}$ =42, which gives us $(-y+\sqrt42}+2+2)^{2}$ + $y^{2}$ =42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+ $\sqrt{42}$ +4+y= $\sqrt{42}$ . I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

6 0

2 years ago

Which of the following numbers belong to the set of complex numbers AND The set of imaginary numbers? Select all that apply.

Schach [20]

To be both complex and imaginary, the answer would have to include "i" as well as have the form "a + bi". The first example, 3i - 5, fits. This would look to be the only example that does fit. The negative square root of 14 would be imaginary, but not complex.

7 0

2 years ago

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

Find the slope of the given line

we have

$3x+4y=15$