Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm
Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side
For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm
If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
Step-by-step explanation:
To transform a function vertically, add 3 to the constant.

So the function is

Graph the function in desmos to show the translation vertically if you want proof
<span>alright it would have been easier if u took a pic but i think its a matching prob with choices A thro F:
Water boils at 212 degrees __________
A. Celsius Incorrect
Water boils at 100 degrees _________
B. Kelvin Incorrect
Water boils at 373 _______
C. Thermal Equilibrium Incorrect
Temperature at which all kinetic energy stops
D. Thermal Energy Incorrect
Reached when 2 objects have the same temperature
E. Absolute zero Incorrect
Sum of all kinetic energy and potential energy in an object's particles
F. Fahrenheit
So here are the correct matches:
</span>Water boils at 212 degrees __________F. Fahrenheit
Water boils at 100 degrees _________ A. Celsius
Water boils at 373 _______ B. Kelvin
Temperature at which all kinetic energy stops______E. Absolute zero
Reached when 2 objects have the same temperature ________C. Thermal Equilibrium
Sum of all kinetic energy and potential energy in an object's particles _____ D. Thermal Energy
Answer:
x=-1 and x=5
Step-by-step explanation:
we have

Solve it by completing the square method
We take the coefficient of x that is -4, divide it by 2 and then square it
so

square it

Adds 4 both sides

Combine like terms right side

Rewrite as perfect squares

take square root both sides


therefore


What is the change in the total cost for each book printed?
$25
What is the cost to get started (before any books are printed)?
$1250