Answer:
x = - 2, x = 6
Step-by-step explanation:
The denominator of the rational 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.
Solve
- 3x² + 12x + 36 = 0 ( divide through by - 3 )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
x = - 2 and x = 6 ← are the excluded values
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:

36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
Answer: To find the slope of this line, you would use the fomula
y2 - y1/ x2 - x1
11 - 3 / 1 - (-1)=
8/2
4
The slope of your line would be 4
Answer:
and
.
Step-by-step explanation:
The equation can be simplified with the help of trigonometric identities:

Which means that equation is equal to zero if any component of the product is zero. The solutions of the expression are:
a) 

b) 



Any value different of both subsets do not satisfy the equation described above.
Answer:
x>5
Step-by-step explanation:
-3(2x+5)<-45
2x+5<-45/-3
2x+5<15
2x<15-5
2x<10
x<10/2
x<5
x>5