Use the Pyth. Thm. to calculate the length of MO:
6^2 + 8^2 = |MO| = 36 + 64 = 100. Therefore, |MO| = 10.
Answer:
5.2 Km/Min
Step-by-step explanation:
Speed/Rate= Distance/Time
Speed/Rate = 114.4/22
Speed/Rate = 5.2 KM/min
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
The equation that represents a proportional relationship is:
y = 32x
Because:
y/x = 32
So that implies that y is directly proportional to x.
Note that other equations represent a proportional relationship in some form, only that the relationship y = 32x is the only direct proportional relationship.
Answer:
between 78 and 102 texts and more than 78 text messages.
Step-by-step explanation:
the range of it is 102-178, so its between there, and its more than 78 as well if the range goes up to 102
