The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).
<h3>Which choice is equivalent to the quotient?</h3>
According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;
√(4-x²)/√(2-x) = √(4-x²)/(2-x)
Hence, the numerator can be evaluated by difference of two squares where;
(4-x²) = (2-x)(2+x)
Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).
Read more on difference of two squares;
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Answer:
15 : 31
Step-by-step explanation:
750 g : 1550 g ( divide both parts by 50 )
= 15 : 31 ← in simplest form
Answer:
9a-7
Step-by-step explanation:
8a-6+a-1
Collect like terms
8a+a-6-1
= 9a-7
Answer:
B. 6√2
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:
a² + b² = c²
Here, a = b = 6, so:
6² + 6² = c²
36 + 36 = c²
72 = c²
c = √72 = 6√2
Now, we see the answer is B.
However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.
One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.
Thus, the answer is B.
Answer:
3x(x - 4)(x + 2)
Step-by-step explanation:
Given
3x³ - 6x² - 24x ← factor out common factor of 3x from each term
= 3x(x² - 2x - 8) ← factor the quadratic
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.
The factors are - 4 and + 2, since
- 4 × 2 = - 8 and - 4 + 2 = - 2, thus
x² - 2x - 8 = (x - 4)(x + 2) and
3x³ - 6x² - 24x = 3x(x - 4)(x + 2)
