Answer:
* = b²
Step-by-step explanation:
You know that the square of a binomial is of the form ...
(x + y)² = x² + 2xy + y²
Matching given terms, we have ...
49 = y²
2xy = 14b
Solving the first of these relations for y, we have
y = √49 = 7
Putting that in the second relation and solving for x, we find ...
2x·7 = 14b
14x = 14b
x = b
Then the first term of the expansion, x², will be b².
The missing term is b².
Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
Answer:
the maximum height of the ball is 81.125 feet above the ground. when the ball is at its peak, the ball is 156.25 feet away from home plate.
Step-by-step explanation:
x = d
y = h
to find the x coordinate of the vertex of a parabola, use the equation
x = -b/2a
y = ax^2 + bx+ c
y = – 0.0032x^2 + x + 3
x = -1 / 2 • - 0.0032
x = 156.25
plug x into original equation to find the the y coordinate of the vertex
y = – 0.0032 • (156.25)^2 + (156.25) + 3
y = – 0.0032 • 24414.0625 + 159.25
y = – 78.125 + 159.25
y = 81.125
