Answer:
0
Step-by-step explanation:
Slope is calculated y2-y1/x2-x1
18-18/0-3
0/-3
0
Answer:
Step-by-step explanation:
y = kx represents a proportional relationship between x and y
where,
k is the constant of proportionality
Given:
d = st
Where,
d = distance
s = speed
t = time
The constant of proportionality of the quantities d, s and t is speed(s)
Speed(s) remains constant at a given time and distance
The equation can be written in different forms below:
d = st
S = d/t
t = d/s
Real world example of proportional relationships
• F=ma
Where,
F=Force
m=mass
a=acceleration
F=ma is used to calculate force
Answer:
Simplifying
5x + 7y = -6
Solving
5x + 7y = -6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y
Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y
Divide each side by '5'.
x = -1.2 + -1.4y
Simplifying
x = -1.2 + -1.4y
__________________________________
Simplifying
4x + 7y = -9
Solving
4x + 7y = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y
Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y
Divide each side by '4'.
x = -2.25 + -1.75y
Simplifying
x = -2.25 + -1.75y
Answer:
The dimensions are:
by
Step-by-step explanation:
The area of the rectangle is given as
The factored form of this quadratic trinomial gives the dimensions of the rectangle.
We factor 3 first to obtain;
We split the middle term to get;
We factor within the parenthesis to get;
We factor further to get;
The dimensions are:
by
Then the perimeter will be