(4x - 12x^2)= 4x(1 - 3x)
(16y^3 + 12y^2) = 4y^2(4y + 3)
16xy^2(1 - 3x)(4y + 3)
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
Answer:
Step-by-step explanation:
∠A + ∠B = 180 {supplementary angles}
8x - 25 + 7x - 5 = 180 {bring the like terms together}
8x + 7x - 25 - 5 = 180 {add the like terms}
15x - 30 = 180 {add 30 to both the side}
15x = 180 +30
15x = 210 {divide both sides by 15}
15x/15 = 210/15
x = 14
∠B = 7x - 5 = 7*14 - 5
= 98 - 5
∠B = 93°
The answer is D
You multiply the denominator with the whole number and and the numerator
