If x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
2 answers:
Answer:
The discriminant of the equation is zero.
Step-by-step explanation:
The given graph is a quadratic equation. If x = 6 is the only x-intercept of the graph, then the roots must be equal.
The quadratic equation will have two solutions. Here the two solutions are equal x = 6.
If the roots are equal, then the discriminant is zero.
The factors of the quadratic equation (x - 6) (x - 6)
=
=
Discriminant =
Here a = 1, b = -12 and c = 36
Discriminant =
= 144 - 144
= 0
Therefore, the answer is "The discriminant of the equation is zero."
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Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle = × b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle = × b×h
= × 12×10.4
= × 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
Answer:
Hence the ground distance is about 889m between stadium and Tennis court.
Step-by-step explanation:
Given:
A pilot at height of 125 m(flying the advertising blimp)
angle of depression=8 degrees.
To find :
The ground distance stadium and tennis court.
Solution :
Using Trigonometric Function we can solve it ,
(Refer the attachment for fig)
Considering above data we get a triangle(ABC)
with point A represent pilot position and C court position and B as stadium.
The height AB=125 m
angle of depression= 8 degrees.
Using
<em>tan∅ =AB/BC</em>
tan(8)=125/BC
BC=125/tan(8)
=125/0.14054
=889.2
=889 m
Hence the ground distance is about 889m between stadium and Tennis court.
