Answer:
x = - 5, x = - 3
Step-by-step explanation:
Given
x² + 15 = - 8x ( add 8x to both sides )
x² + 8x + 15 = 0 ← in standard form
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are 5 and 3, since
5 × 3 = 15 and 5 + 3= 8, thus
(x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 3 = 0 ⇒ x = - 3
Question:
What is the common denominator of 
in the complex fraction 
A) 
B) 
C) 
D) 
Answer:
Option D : 3 is the common denominator
Explanation:
It is given that the complex fraction
We need to determine the common denominator of from the complex fraction.
Let us consider the fraction
To find the common denominator, let us take LCM.
Thus, rewriting the above fraction as,
The LCM can be determined by multiplying the denominators.
Thus, we get,
Thus, the common denominator is 3.
Hence, Option D is the correct answer.
Answer:
0.399
Step-by-step explanation:
The key to doing this problem properly lies in knowing and following order of operations rules.
Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.
(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:
(228-3) = 225
and
(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:
(570-6) = 564.
Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).
Answer:
(1,-2)
Step-by-step explanation:
(x,y)transforms(y,-x)at about 270°.
