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:x>7 or x ≤ -3
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Step-by-step explanation:
Y-coordinates are same so you just need to find distance from -4 to -8 which would be 4 because |-4 - -8| = |-4 + 8| = 4.
Final answer: 4
Hope this helps.
Answer:
Step-by-step explanation:
5 dimes and 8 quarters :)
There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.
