A. 12
B.8
C.8
D.16
Hope this helps
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
The roots of the given polynomials exist
, and
.
<h3>What is the formula of the quadratic equation?</h3>
For a quadratic equation of the form
the solutions are

Therefore by using the formula we have

Let, a = 1, b = -16 and c = 54
Substitute the values in the above equation, and we get

simplifying the equation, we get



Therefore, the roots of the given polynomials are
, and
.
To learn more about quadratic equations refer to:
brainly.com/question/1214333
#SPJ4
Answer:
<em>(0, 2)</em>
Step-by-step explanation:
Function is the relation where each value of "x" has single value of "y"
The table contains pair (0, - 2) if table would include (0, 2) the relation in table would be not a function.