Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.
Solve for y.
6x - 2y = 18
-2y = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
2y / -2 =
<-- Divide each side by 2. This it to
get rid of the 2 coefficient.
y = -9 + 3x
Rearrange the right-hand side a bit.
y = -9 + 3x becomes y = 3x - 9
Now it is in slope-intercept form.
The slope is the coefficient of the x variable.
So, 3 is the slope.
Answer:
B. -√2/2.
Step-by-step explanation:
This is in the third quadrant so the sine will be negative.
The hypotenuse = √ [( -3)^2 + (-3)^2]
= √18 = 3√2.
Therefore the sine = -3 / 3√2.
= -1 / √2
= -√2/2..
Answer:
y-intercept = 3
The y-intercept represents the initial fee before any miles are traveled.
Step-by-step explanation:
By definition, the <u>y-intercept</u> is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The coordinates of the y-intercept is (0, <em>b </em>).
Looking at your graph, it shows that the line crosses the y-axis at (0, 3). Therefore, the y-intercept = 3.
The y-intercept represents the initial fee before any miles are traveled. This means that the taxi ride already has a set amount of $3, regardless of the number of miles traveled. This is added to the total cost of the taxi fare, which is represented by y.
The formula for circumference is C = 2<span>πr.
We already know that the radius of the circle is 21 feet, so let's plug that into the equation.
C = 2</span><span>π(21)
Now let's simplify
C = 6.28(21)
C = 131.9
131.9 is your circumference.</span>
Answer:
m = - 8 ± 6
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ± 
= ± 
= ± 6
Subtract 8 from both sides
m = - 8 ± 6
