Perimeter is
2 • width+ 2•length=
2• (4x-4)+2•(2x+5)=
Distribute multiplication in parentheses
8x-8+4x+10=
Combine like terms
12x+2
Consider the polynomial 
It has three terms and their greatest common factor is 
Since
then
(you write in brackets the same sign as the corresponding term has).
Answer: correct choice is D.
Answer:
9 cm
Step-by-step explanation:
If the scale is 3cm:18 km, then x cm : 54km will be the distance between Riverside and Smithville. Since 18 *3 = 54 then 3cm * 3 = 9cm. On the map they are 9 cm apart.
Answer:
Step-by-step explanation:
What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.
Here's why and it is the one bit of physics you have to know.
The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.
So ...
b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour
b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] = 26/60 = 0.4333 hour
h = 40 km/hour
Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2
Area = 0.75 hour * 40 km/hr //2
Area = 15 km
Answer:
x= 2
x= -3
Step-by-step explanation:
<u>Solving as normal quadratic equation:</u>
- 2x^2+2x=12
- x^2 +x = 6
- x^2 + x - 6= 0
- x = (-1 ± √(1+4*1*6)/2
- x = ( - 1 ± √25)/2
- x = (-1 ± 5)/2
- x= 2
- x= -3
<u>Roots are</u> 2 and -3
