Choose the equations below that are perpendicular. 1. y = 7x+5
1
II. y +4 =-* (x + 7)
III. y = -7x-7
O None of the lines shown are perpendicular to each other.
O I and III are perpendicular because their slopes are opposites.
O II and III are perpendicular because their slopes are reciprocals.
O I and II are perpendicular because their slopes are opposite reciprocals.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

29933333.33

step-by-step explanation: