Answer:
Multiplying a Monomial by a Monomial. When multiplying a monomial by a monomial, we multiply the coefficients together and tack on the variables at the end (usually in alphabetical order). When multiplying two of the same variables, add the exponents. Remember that the exponent on x is an invisible 1.
Step-by-step explanation:
Hope this helps
The coordinates would be (3, 3).
The slope from R to S is given by
m = (0 - 0)/(-4-1) = 0/-5 = 0
The distance from R to S is 5 units straight across.
This means the slope from T to U will be 0, and it will be a horizontal segment. This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.
The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.
This makes the point (3, 3).
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
Answer:
False
Step-by-step explanation:
To determine whether the statemaent "If
is true, then
is also true" holds, you can form the truth table:

When the result of the column
takes value 1 (true), the result of the column
is not always 1, then the statement is false.
Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45
Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239
Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102
Solving for y,
y = -2(102) + 239
y = 35
Solving for z,
z = 102 - 45
z = 57