Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard 
and accept 
.
In fact, we have
and
which is the only solution.
Answer:
Step-by-step explanation:
Probability (P) is calculated as
P = 
The first required outcome is a red sweet from a total of 3 + 5 = 8
P( red) = 
There are now 2 red left and a count of 7, since 1 has been eaten, thus
P( second red ) = 
P( red and red ) = × = 
=
Answer:
x < 6
Step-by-step explanation:
1. 3x+2x = 5x
2. 5x - 8 < 22
3. 22+ 8 =30
4. 5x < 30
5. 30/5 = 6
6. x < 6
Answer: 44 miles
WORKINGS
Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown
Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.
The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL
Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles
Therefore, The distance between Dayton and Lima, DL = 52 miles
The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.
That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles
Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
Answer:
Step-by-step explanation:822.73
