Answer:
6-1+1
this is the ans to ur question
thanks
In the given diagram, the value of the dashed side of rhombus OABC is 5
<h3>Distance between two points </h3>
From the question, we are to determine the length of the dashed line (OA), in rhombus OABC
In the diagram, we can observe that the length of OA is the distance between point A and the origin (O).
Using the formula for calculating distance between two points,
d =√[(x₂-x₁)² + (y₂-y₁)²]
In the diagram,
The coordinate of the origin is (0, 0)
The coordinate of point A is (3, 4)
Thus,
x₁ = 0
x₂ = 3
y₁ = 0
y₂ = 4
Putting the parameters into the formula, we get
OA =√[(3-0)² + (4-0)²]
OA =√(3² + 4²)
OA =√(9+16)
∴ OA =√25
OA = 5
Hence, in the given diagram, the value of the dashed side of rhombus OABC is 5
Learn more on Distance between two points here: brainly.com/question/24778489
#SPJ1
Answer:

Step-by-step explanation:
Hi there!
Slope intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Find the slope (m)</u>
where the two given points are
and 
Plug in the given points (2,8),and (8,2)

Therefore, the slope of the line is -1. Plug this into
:

<u>2) Find the y-intercept (b)</u>

Plug in a given point and solve for b

Add 2 to both sides

Therefore, the y-intercept is 10. Plug this back into
:

I hope this helps!
The approximate solution to the given system of equation is (-2.71, 2.14)
<h3>Solving a system of linear equations</h3>
From the question, we are to determine the approximate solution to the given system of linear equations.
The given equations are
y = 0.5x + 3.5
y = -2/3 x+ 1/3
From the given information, we are to show the solutions on a graph
The graph that shows the solution to the given system of equation is shown below.
The solution to the given system is the point of intersection of the lines. The coordinate of the point of intersection of the lines is (-2.71, 2.14). That is, x = -2.71, y = 2.14.
Hence, the approximate solution to the given system of equation is (-2.71, 2.14)
Learn more on Solving systems of linear equations here: brainly.com/question/14323743
#SPJ1
<h3>
Answer:</h3>
-36
<h3>
Step-by-step explanation:</h3>
The applicable rule of exponents is ...
... (a^b)^c = a^(b·c)
Here, you have a=m, b=?, c=1/3, b·c = -12, so you can write ...
... b·(1/3) = -12
Multiply by 3.
... b = -36
The exponent of m inside parentheses is -36.