Answer:
A and E
Step-by-step explanation:
Given
20x² - 26x + 8 = 0 ( divide through by 2 )
10x² - 13x + 4 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 10 × 4 = 40 and sum = - 13
The factors are - 5 and - 8
Use these factors to split the x- term
10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )
5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(5x - 4) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
→ E
5x - 4 = 0 ⇒ 5x = 4 ⇒ x = 
→ A
Answer = 5.656854249
Step by step:
This equation is just a simple Pythagorean theorem ( if you were not aware, it’s a2 + b2 = c2. To get c is to find the square root of c)
To find the circumference of a round object, you will take the diameter and multiply is by pi to get 78.5mm
Answer:
Step-by-step explanation:
Reasons
2. If two lines are parallel, their corresponding angles are congruent.
3. Congruent angles are equal... Why do they even have this step?
4. A straight line forms a linear pair.
5. Angles in a linear pair are supplementary.
6. ∠1 is supplementary to ∠3. Reason: If an angle is congruent to an angle that is supplementary to a third angle, the first and third angles are congruent OR Transitive Property.
Answer:
64k^2 - 16k +1
Step-by-step explanation:
We can rewrite this as
(-8k+1) ^2
We know that (a+b)^2 = a^2 +2ab +b^2
Let a = -8k and b = 1
(-8k+1) = (-8k)^2 +2*(-8k)(1) + 1^2
=64k^2 - 16k +1
