Answer:

Step-by-step explanation:
The standard equation for circle is

where point (a,b) is coordinate of center of circle and r is the radius.
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Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have

now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is 
Answer:
See explanation
Step-by-step explanation:
Given 
According to the order of the vertices,
- side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
- side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
- side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
- angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
- angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
- angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
Answer:
13.75
Step-by-step explanation:
make a ratio between the original lengths, 11 : 5.5
then put the ratio of the enlarged lengths, 27.5 : __
now you divide 27.5 by 11 to find how many times you multiplied the lengths, 2.5.
now you multiply 5.5 by 2.5 giving you the answer of 13.75
Answer:
An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

Step-by-step explanation:
Given the points
Finding the slope between the points (-4,1) and (4,3)



Refine

Point slope form:

where
- m is the slope of the line
in our case,
substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.



Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

Answer:
its a
Step-by-step explanation:
< means less than and >means greather than