Match each hypotenuse length with the leg lengths that will create a right triangle.
1 answer:
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Answer:
Part 1) The radius of the circle is r=17 units
Part 2) The points (-15,14) and (-15,-16) lies on this circle
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center of the circle and any point on the circle is equal to the radius of the circle
the formula to calculate the distance between two points is equal to
we have
(-7, -1) and (8, 7)
substitute
step 2
Find out the y-coordinate of point (-15,y)
The equation of the circle in standard form is equal to
where
(h,k) is the center
r is the radius
substitute the values
Substitute the value of x=-15 in the equation
square root both sides
therefore
we have two solutions
point (-15,14) and point (-15,-16)
see the attached figure to better understand the problem
Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum =
=
=
=
=
= 7 * 25
= 175