Your correct, +1 would give you one point on y line then go down and over to get your slope, so yes you are correct, good job.
Answer:
The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D
Step-by-step explanation:
Given equation as :
x² - 8 x + 41 = 0
For quadratic equation ax² + b x + c = 0
The value of x =
∴ For equation x² - 8 x + 41 = 0
Or, x =
Or, x = 
Or, x = 
∴ x = ( 4 + 2 i ) , ( 4 - 2 i )
Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D Answer
When reflecting across the Y axis, the Y values remain the same.
Now if you were reflecting across Y = 0, the x values would just be inverse ( opposite signs).
So this triangle if reflected across Y = 0 the new vertices would be (4,4) (2,3) and (5,2)
Now since the reflection line is y = -1, which is a one unit shift to the left of y = 0, subtract 1 unit from each X value.
The locations are now: A'(3,4), B'(1,3) and C'(4,2)
Answer: A
Step-by-step explanation:
This is because...
1st. Simplify both sides of the equation (distribute the 4 and combine like terms)
6 + -x = 20 + 4x + -4 (distributed 4)
-x + 6 = 4x + 16 (combined like terms)
2nd. Subtract 4x from both sides.
3rd. Subtract 6 from both sides.
4th. Divide both sides by -5.
Answer:
13ft 10.2in
Step-by-step explanation:
First let's convert 3ft to in.
3 * 12 = 36 in
Now let's find the angle
We use tangent because we know the opposite and adjacent distances.
tan x = 36/13
tan x = 2.7692
On your calculator, input the value of your tangent. Then press "inv." This should give you the angle associated with that value. The angle associated with tan 2.7692 is 70.14 degrees.
Now that we know the angle we can find the height.
We use tangent again.
tan 70.14 = x / 5 We don't know the opposite but we know the adjacent length is 5ft.
2.77 * 5 = x
13.85 ft = x
To get it in ft and inches multiply .85 by 12
.85 * 12 = 10.2
13ft 10.2in