Acircle has a diameter with endpoints at 15 + 25i and –25 – 17i. which point is also on the circle? –15 +21i 0 + 0i 15 + 17i 16 + 24i

Option 4 : 16+24i

Step-by-step explanation:

Given a circle has a diameter with end points at(15+25i) and (-25-17i)

Centre would be the mid point of these two points

Centre =

Out of given four points to find which point lies on the circle

If a point lies on the circle then it would have distance from centre equal to radius.

Radius = distance between two given points/2

=

Let us calculate distance form each point.

i)-15+2i:  distance from -5+4i= 10.19

ii) 0+0i : distance from -5+4i = 6.40

iii) 15+17i :  Distance from -5+4i = 23.85

iv) 16+24i: distance from -5+4i= 29

Hence only 4th point lies on the circle

equal to

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is