Answer:
John win the merit badge
Step-by-step explanation:
Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.
a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*
b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*
c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*
d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*
The answer is C) 9, 40, 41.
Answer:
The length of line segment is 5
Step-by-step explanation:
we are given equation of parabolas as


Firstly, we will find intersection points
we can set them equal
and then we can solve for x

Multiply all sides by 8



now, we can factor it



now, we can find y-values
At x=-1:

y=2
so, we get point as
(-1,2)
At x=3:

y=-1
so, we get point as
(3,-1)
now, we can find distance between these two points
(-1,2)
x1=-1 , y1=2
(3,-1)
x2=3 , y2=-1
now, we can find distance

now, we can plug values


So,
The length of line segment is 5
Number of ways = 7C6*11C7*5C2
<span>= 7*330*10 </span>
<span>= 23100</span> <span>C(7, 6)*C(11, 7)*C(5, 2) = 23,100
</span>
You can't simplify this equation anymore.