Which of these is equivalent to the equation below?. y = mx + b
A.b = y - mx.
B.x = y - b/m.
C.b = mx/y.
D.x = y/mb
Answer:
y = mx + b is is equivalent to
Option A -
Option B -
Step-by-step explanation:
y= mx +b is the slope intercept form that is used to represent the equation of the straight line.
m is the slope of the given line that measures the steepness of the line.
b is the y intercept
x and y are the coordinates of the line
m and b are constants
x and y are variables
Rewriting in the slope intercept form we get
Answer:
Step-by-step explanation:
The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.
Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
AC^2 = 22^2 + 5^2
AC^2 = 484 + 25 = 509
AC = √509
AC = 22.56
The slope of the ladder is
(change in y)/(change in x)
Slope = 22/5 = 4.4
Answer:
Step-by-step explanation:
1. here you go mate
step 1
6x - 12 < 6 equation
step 2
6x - 12 < 6 simplify
6x-12+12<6+12
step 3
6x<18 Divide both sides
answer
x<3
2. Here you go mate
step 1
2(3x-8) >8 equation
step 2
2(3x-8) >8 simplify
6x-16+16>8+16
step 3
6x>24 divide both sides
answer
x>4