Given two points A(x₁,y₁) and B(x₂,y₂) the distance betwen these points will be:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²].
We have these points: A(0,0) and B(6,3); its distance will be:
dist(A,B)=√[(6-0)²+(3-0)²]
=√(6²+3²)
=√(36+9)
=√45 ≈ 6.71
Answer: D. 6.71 units.
Answer:
-1050
Step-by-step explanation:
-650+(-400)=-1050
We use negatives to show it is below sea level
Answer:
x = 
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x = 
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = 
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
|
+ 4 | = |
| = 
right side =
- 5 = 
left side = right side , thus x =
is a solution
check second solution
|
+ 4 | = |
| = 
right side =
- 5 = - 
right side ≠ left sides, hence not a solution
Answer:
10 inches
Step-by-step explanation:
Given
Shape: Isosceles Triangle


Required
Find the length of the other two sides
Represent the other sides with x.
Since it is an isosceles triangle, 2 sides are equal.
So, we have:


Collect Like Terms


Divide both sides by 2



<em>The other sides are 10in each</em>