Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
Answer:
(x - 6)(x + 4)
Step-by-step explanation:
x^2 -2x-24
-24 = -6 * 4
- 6 + 4 = -2
So
x^2 -2x-24 = (x - 6)(x + 4)
Answer:
Option C
The length of RT is 14
Step-by-step explanation:
For a given Right Triangle
m∠R = 90°, RG = 17, TG = 22
Now, <u>By Pythagoras Theorem</u>
(RT)² + (RG)² = (TG)²
(RT)² = (TG)² - (RG)²
(RT)² = (22)² - (17)²
(RT)² = 484 - 289
(RT)² = 195
RT = √195
RT = √195 = 13.96 = 14
Thus, The length of RT is 14
<u>-TheUnknownScientist</u>
Given:
The inequalities are:
or 
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
or
Solve the above inequalities separately.
Divide both sides by -5.
...(i)
And,
Divide both sides by 2.
...(ii)
From (i) and (ii). we get
or
The interval notation of the solution is 
.
The graph of the solution is shown below.
A nonagon has 9 sides, so n = 9
S = sum of the interior angles
S = 180*(n-2)
S = 180*(9-2)
S = 180*7
S = 1260
Answer is choice B
