Answer:
x = -1 and x = 7
Step-by-step explanation:
2x^2 + 2x - 14x - 14
2x^2 - 12x -14
Divide through by 2 to simplify the expression
x^2 - 6x - 7
x^2 - 6x -7
Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7
Yes! It's -7 and +1
-7 + 1 = -6 , and -7* 1 = -7
Now, lets substitute these numbers in the expression
x^2 -7x + x - 7
factorize
x(x - 7) + 1(x - 7)
(x + 1) (x - 7)
Now equate to zero
(x + 1) (x - 7) = 0
x + 1 = 0
subtract 1 from both sides
x +1 - 1 = 0 -1
x = -1
Also,
x - 7 = 0
Add 7 to both sides
x -7 + 7 = 0 + 7
x = 7
Hence, x = -1 and x =7
Answer:
If P = (x,y) then formulas for each trigonometric functions are:
sin x = y/r
cos x = x/r
tan x = y/x
cot x = x/y
sec x = r/x
cosec x = r/y
where r = √(x²+y²).
First find r:
r = √(13²+84²)=√(169+7056)=√7225=85.
Then just substitute:
sin x = 84/85
cos x = 13/85
tan x = 84/13
cot x = 13/84
sec x = 85/13
cosec x = 85/84
In order to name the coordinates, you read the X axis first and then the Y axis. So A would be (-4, 4). B would be (-4, 6). C would be (2, 4).
They are not congruent because each angle is a different measure.
Hope this helped! :)
Find the domain of
y = log(x + 3)
Logarithms can only be taken for positive numbers. So you must have
x + 3 > 0
x > – 3 ✔
So the domain of the function is
D = {x ∈ R: x > – 3}
or using the interval notation
D = (– 3, +∞)
I hope this helps. =)
Answer:
Option 3
Step-by-step explanation:
The coordinates match it
