Answer:
-37
Step-by-step explanation:
1) to find the equation of the given line (its slop-interception form is y=mx+i, where m - slop, i - interception):
a) y=2x+i, where m=2;
b) it is possible to calculate the value of 'i' after the substitution the point (5;-3) into the equation y=2x+i:
-3=2*5+i; ⇒ i= -13;
c) the equation of the given line is y=2x-13.
2) to calculate the value of 'R':
if to substitute the point (-12;R) into the equation y=2x-13, then
R=2*(-12)-13; ⇒ R= -37.
Answer:
7
Step-by-step explanation:
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of
Step-by-step explanation:
A temperature falls from 0 to
in 
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is
The change in temperature is 


Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:

x° = - 3.5
x° = 
Thus per hour; the temperature falls at the rate of
The system of equations does not have a solution.
For example, imagine these two equations y = x + 7 and y = x + 9
Now subsitute y in the second equation with the value from the first equation:
x + 7 = x + 9
x - x + 7 = 9
0 + 7 = 9
7 = 9.
That happens because the equations represent parallel lines, which do not have a common pair of points.
Answer:
Undefined.
Step-by-step explanation:
The answer is undefined because in order to multiply them, they both need to have the same amount of columns and rows.