The diameter is 10:
To do this we must use the distance formula:
Distance =√(x2−x1)^2+(y2−y1)^2
So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)
D=✓(-4-0)^2+(-3-0)^2
Simplified, this is
D=✓16+9
D=✓25
D=5
so, the distance from the center of the crcle to the endpoint is 5 (making the radius)
multiply by two, and the diameter of the circle is 10 :)
Answer:
2. yes; the equation can be written as y = kx; k = 1
Step-by-step explanation:
x-y = 0
That means x and y have to be the same value.
If you multiply a number by 1, you get the same thing.
If you multiply x by one, you get y (the same value).
Hope this helps!
Answer:
y=4x-1
Step-by-step explanation:
Slope-intercept form is written in y=mx+b
*m=slope
*b=y-intercept
From what I see,
the line hits the points (0,-1) and (1,3)
Slope is the rise (change in the y-coordinate) of the line divided by the run (change in the x-coordinate).
4÷1=4
Slope=4
y=4x+b now
The y-intercept is the value of y when the line meets the y-axis
It seems to meet at (0,-1)
So we end up with...
y=4x-1 as our equation
Answer:
The equivalent expressions are;
9x + 9
and
9(x + 1)
Step-by-step explanation:
Mathematically, we should understand that an equilateral triangle has all of its sides equal
So if one side is 3x+ 3, the other sides too measures same
Therefore, the length of the rope represents the perimeter of the triangle
This is obtainable by adding all the side lengths together
This will be;
3x + 3 + 3x + 3 + 3x + 3 = 9x + 9
This is also same as 9(x + 1)
Answer:
Step-by-step explanation:
There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.
Thus,
Open the parenthesis
Add 10 to both sides
