Answer:
Step-by-step explanation:
The relation is:
=> {(3,9)(3,18)(6,18)(9,18)}
Domain => x inputs of the ordered pair
Domain = {3,6,9}
Range => y inputs of the ordered pair
Range = {9,18}
Answer:
OH²=412
Step-by-step explanation:
A Circumcenter of a triangle is the point where the three perpendicular bisectors of a triangle meet.
The Orthocenter is the point where all three altitudes of the triangle intersect.
Given any triangle, the orthocenter, circumcenter and centroid are collinear on the Euler line. By Euler's Identity, the distance between the circumcenter and the orthocenter of a triangle is related to the circumradius(R) and the sides(a,b,c) of the triangle by the relation
OH²=9R²-(a²+b²+c²)
R=7, a²+b²+c²=29
OH²=9(7)²-29
OH²=412
Answer:
y= (x+5)^2 +7
Step-by-step explanation:
Answer:
The symphonic choir can record a maximum of 14 songs.
Step-by-step explanation:
We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 
song minutes.
If we call 
the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 
; therefore, we have the inequality
<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>
We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:
The maximum integer value can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.
$97
This is because he will owe the amount of the check $52, plus he will also owe the two fees which will total $45
