Cos(arcsin(u)) = √(1 - u²)
_____
You want cos(α) where sin(α) = u.
You know that
cos(α)² + sin(α)² = 1
cos(α)² = 1 - sin(α)² = 1 - u²
cos(α) = √(1 - u²)
Answer:
<em>8(x2 + 2x) = –3
</em>
<em>8(x2 + 2x + 1) = –3 + 8
</em>
<em>x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot</em>
Step-by-step explanation:
<u>Solving Quadratic Equations
</u>
Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.
We have the equation

We separate variables from constants

Taking the common factor 8

Completing squares in the brackets and balancing the equation in the right side

Factoring the perfect square

Isolating x



We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)
8(x2 + 2x) = –3
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
Answer
False
Step-by-step explanation:
The max number is 1 and so the unlikelier the number, the less value the number will be.
For example: The likelyhood of fliping a coin and landing on heads: 0.5
Hopes this makes sense!
Answer:
Step-by-step explanation:
y = 5x + 2.....so we will sub in 5x + 2 for y, back into the other equation
3x = -y + 10
3x = - (5x + 2) + 10
3x = -5x - 2 + 10
3x + 5x = 8
8x = 8
x = 8/8
x = 1
y = 5x + 2
y = 5(1) + 2
y = 5 + 2
y = 7
check it... (1,7)
3x = -y + 10 y = 5x + 2
3(1) = -7 + 10 7 = 5(1) + 2
3 = 3 (correct) 7 = 7 (correct)
so ur solution is : x = 1 and y = 7...or (1,7) <=====