[3.0479 × 10⁸] ÷ [2.102 × 10⁶]
[3.0479 ÷ 2.102] × [10⁸ ÷ 10⁶]
1.45×10²
Answer:
Step By Step Explanation:
Option A:
The length of BE is 4.
Solution:
Given data:
AE = 6, EC = 12 and DE = 18
To find the length of BE:
<em>If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.</em>
⇒ AE × EC = DE × BE
⇒ 6 × 12 = 18 × BE
⇒ 72 = 18 × BE
Divide by 18 on both sides of the equation.
⇒ 4 = BE
Switch the sides.
⇒ BE = 4
The length of BE is 4.
Option A is the correct answer.
Exact Form:
x = 15/4,-4
Decimal Form:
x = 3.75, -4
Mixed Number Form:
x = 3 3/4, -4
Answer:
C
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 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 = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -