Answer:
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ.
If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.
The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π
Answer:
Disagree
Step-by-step explanation:
Remember rotating 90 degrees means (y,-x)
A= (1,2)
A'= (2,-1)
So it is disagreed.
Hope this help :)
Answer:
The gradient of the graph below is 
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: 
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have 
Putting values and finding gradient:

So, The gradient of the graph below is 
<u><em>The coordinates of the points A and B are not given. We'll assume: A(3,1) B(12,-5)</em></u>
Answer:
<em>The coordinates of E are (6,-1)</em>
Step-by-step explanation:
<u>Partition of a Segment</u>
The length of segment directed from A(xa,ya) to B(xb,yb) can be decomposed in its x,y coordinates:


If a point E is to be in the segment and partition it into a ratio 1:2, then
\displaystyle \frac{x_{AE}}{{x_{EB}}=\frac{y_{AE}}{{y_{EB}}=\frac{1}{2}
But




Then we set the equation:


Operating and rearranging

Solving


Similarily


The coordinates of E are (6,-1)