Answer:
cos theta = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos theta = 8/17
We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.
Answer:
Gabriella has $7 in change.
Step-by-step explanation:
First minus $13 from $20.
Then get $7 left over.
Finally $7 is your awnser.
F ( x ) = 4 x² + 8 x + 7
a = 4, b = 8
The axis formula is:
x = - b / 2 a
x = - 8 / (2*4) = - 8 / 8 = -1
Answer:
The axis of the graph of the function is x = - 1.
