Answer:
or 5.83095
Step-by-step explanation:
Use the distance formula 
Make sure to round the answer appropriately if not asked for in square root form!!
Answer:
Multiply equation
by 5 and
by 4
Step-by-step explanation:
Given:
Equations are 
To find: constant by which each equation should be multiplied to eliminate the variable
in the given system of equations
Solution:

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

On subtracting these equations, we get

So, the variable
gets eliminated
6(x-2.5) ≥ 8-6(3.5+x)
A number is before a parenthesis. The first step is to multiply.
6(x-2.5) = 6x -15
8-6(3.5+x)
2(3.5+x)= 7+2x
6x-15≥7+2x
Now solve
6x-15≥7+2x
-2x -2x
(-2x+2x)= They cancel out
(6x-2x)= 4x
4x-15≥7
+15 +15
4x≥22
/4 /4
You get= x≥5.5
Answer:
i) D: All real numbers
ii) R: 
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is

The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is 
The function has vertex
.
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore
or ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
iii) To find the y-intercept, put
into the function.




The y-intercept is (0,2) or 
See attachment for graph.
Answer:
Step-by-step explanation:
Im not full sure what the answer is but I do know that A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer. For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.
I think that a one of the answers may be number 3 but im not 100%