Josh estimates the height of his desk. what is the reasonable estimate?…
1 answer:
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ANSWER
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,
Answer:
b = 9.1units
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of triangle
WX/XZ = WY/WX
Substitute;
b/a+5 = 6/b
b² = 6(a+5) ... 1
Also according to pythagoras theorem on triangle WYX;
b² = 6²+a²...2
Equate 1 and 2
6(a+5) = 6²+a²
6a+30 = 36 + a²
a²-6a+36-30 = 0
a²-6a+6 = 0
a = 6±√36+4(6)/2
a = 6±√60/2
a = 6±7.745/2
a = 13.745/2
a = 6.8725
Recall that
b² = 6²+a²
b² = 36+6.8725²
b² = 83.2313
b = 9.12units
b = 9.1units
