Answer: Sarkis cannot draw a triangle with these side lengths.
Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.
The two smallest sides are 4 and 10; their sum is 14. This is shorter than the longest side, so these will not make a triangle.
Answer:
k=27
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tiffany's distance is defined by the equation,
d = 2.5t
Here, d = distance of Tiffany from the starting line
t = time
a). d = 2.5t
Tiffany's rate = 2.5 yards per second
b). Since, slope of a line passing through two points
and
is given by,
Slope = 
Therefore, slope of the line passing through two points (0, 10) and (10, 35)
= 
= 2.5 yards per second
Dion's walking rate = 2.5 yards per second
Equation that defines the distance of Dione,
d = mt + b
Here, m = rate of the walking by Dione
b = y-intercept
Hence, equation will be,
d = 2.5t + 10
c). If d = 60 yards
For Tiffany,
d = 2.5t
60 = 2.5t
t = 24 seconds
For Dion,
d = 2.5t + 10
60 = 2.5t + 10
2.5t = 50
t = 20 seconds
Therefore, Dion will take less time and finish first.
Answer:
x = ± 19
Step-by-step explanation:
x² = 361
x = ±√361
x = ± 19
Answer:
you factories the equation