Answer: 68.5°F and 76.5°F
Step-by-step explanation:
Given: The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) .
According to the given absolute inequality equation, where x is the temperature of house
|x – 72.5| = 4
it gives x – 72.5 ≥ -4 and x – 72.5 ≤ 4
⇒ -4 ≤ x – 72.5 ≤ 4
Adding 72.5 on both the sides, we get
⇒ -4+72.5 ≤ x ≤ 4+72.5
⇒68.5 ≤ x ≤ 76.5
Thus the minimum temperature is 68.5° F and the maximum temperature is 76.5° F.
19^2 + x^2 = 21^2
19^2 = 361
21^2= 441
361 + x^2 = 441
x^2 = 441-361 = 80
x = sqrt(80) = 8.944 round to nearest tenth = 8.9
Answer:
x=53/4 or 4x=53
Step-by-step explanation:
First move the variable to the left-hand side and change its sign.
6x+12-10x=-41 to 6x-10x=-41-12
Then collect the like terms
6x-10x=-41-12 to -4x=-41-12 which equals to -4x=-53
Now you divide both sides of the equation by -4
-4x=-53 to x=53 over 4 then if you want you divide which gives you x=13.25
Second way:
Kind of the same thing as the first one
Move the variable to the left-hand side and change its sign
6x+12=10x-41 to 6x=12-10x=-41
Then you collect the like terms
6x-10x=-41-12 to -4x=-41-12
Now you multiply both sides of the equation by -1
-4x=-53 to 4x=53
