Answer:
x² + x - 12 = 0
Step-by-step explanation:
If x = -4 and x = 3 are solutions to a quadratic equation, then
(x + 4)(x - 3) = 0
Expand the brackets: x² - 3x + 4x - 12 = 0
Combine like terms: x² + x - 12 = 0
Answer 330
Step 1 Find the Prime Factorization of 30: 30= 2*3*5
Step 2 Find the Prime Factorization of 22: 22= 2*11
Step 3 Mult. Each factor: LCM= 2*3*5*11
Step 4 Solve : 330
Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater
so "b" is "4 more than 5 times" "a"
so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4
so.. whatever "a" is, "b" is 5a+4
now, their sum is 22, as opposed to "zz" hehe
so

solve for "a", to see what the smaller one is
what's "b"? well, b = 5a + 4
The absolute value of numbers is the distance it is from 0. More simply, you can just take away the negative sign (if there is one).
5 is 5 away from 0.
-6 is 6 away from 0.
2 is 2 away from 0.
-9 is 9 away from 0.
Answer:
A voltage of 760V will be produced by 19 windings.
Step-by-step explanation:
Given the equation:
E = 40W
Where E is the Voltage in the circuits
and W is the number of windings
<u>Given</u> that E = 760V
<u>To find:</u> W = ?
<u>Solution:</u> Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.
So, Putting the value of E in the given formula and finding W, the number of windings:

So, number of windings for a voltage E = 760V is 19.
A voltage of 760V will be produced by 19 windings.