What is the value of the expression?
1 answer:
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Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:
• If D>0, the roots are real and unequal.
,• If D=0, the roots are real and equal.
,• If D<0, the roots are complex.
In our given equation:
For the function to have exactly one zero, the value of D=0.
The value of m for which the function will have one zero is 12.
Answer: (-1,1,-3) + 7 x t x (3,-2,-8)/
Step-by-step explanation:
The parametric vector equation for the position of particle is given as:
We have P= (-1,1-3)
Q= (-4,4,5)
So PQ vector= (-1+4,1-3, -3-5)
PQ = (3,-2,-8)
Magnitude of this vector=
Magnitude=
So unit vector= (3, -2, -8)/
Now the equation is as:
P + 7 x t x unit vector = (-1,1,-3) + 7 x t x (3,-2,-8)/
Answer:
The correct option is D.
Step-by-step explanation:
It is given that Issouf claims that the scale factor is 1/2.
From the given figure it is clear that
The scale factor of a figure is
The scale factor is 1/3 because CB is actually 2 + 4 = 6.
Therefore the correct option is D.
Given:
A diagram of a circle O, .
To find:
The measure of arc DC.
Solution:
According to the angle of intersecting chords theorem:
Angle at intersection of chords = Half of the sum of intercepted arcs.
Let be the angle between the intersection of chords AC and BD.
(Linear pair)
Using the angle of intersecting chords theorem, we get
On simplification, we get
Divide both sides by 2.
Now,
Therefore, the correct option is C.