Answer: x = ±√145
Step-by-step explanation:
√(17 + x) × √(17 - x) = 12
√(17 + x) (17 - x) = 12
Squaring both sides,
(√(17 + x) (17 - x))^2 = 12^2
(17 + x) (17 - x) = 144
17(17 - x) + x(17 - x) = 144
289 - 17x + 17x - x^2 = 144
x^2 = 289 - 144
x^2 = 145
x = ±√145
To solve for variable equations or inequalities, we want to do two things:
1. Reduce one side to variables only
2. Reduce that side to the variable without coefficients.
The given equation is
.
Let's perform step 1: reducing one side to variables only. By adding
to both sides of the equation, we get
.
Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of
is
, we need to divide both sides of the equation by 4:
. Rounded to the nearest tenth,
.
So the value of
that satisfies
is
.
4: (3/4 - 1/2) X 3/5.
You need them all to have the same denominator (bottom number)
The lowest common denominator (LCM) of 2,4 and 5 is 20
4 X 5 = 20
2 X 10 = 20
5 X 4 = 20
Then multiply the top number by the amount you need to multiply the bottom number by to get 20
3 X 5 = 15
1 X 10 = 10
3 X 4 = 12
(3/4 - 1/2) X 3/5. Turns to (15/20 - 10/20) X 12/20.
15 - 10 = 5
5 X 12 = 60
Answer: 60/20
Simplified: Either 3 or 3/1.
If you use the steps above then you should be able to do the rest :D
If you need anymore help, please ask
So if there are 5 choices and only one is correct, there is a 1/5 chance of being correct. since there was 2 questions, you need to multiply 1/5 by 1/5 to get 2/25 of getting both questions correct.
i hope this helps!!
Answer:
Depends on what number(s)/fraction(s) your working with.
Step-by-step explanation:
Find the reciprocal of a fraction by flipping it. The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted).
