Answer:
<em>D. is zero</em>
Step-by-step explanation:
<u>Graph of the Parabola</u>
The quadratic function's graph is called a parabola. There is a clear relationship between the roots of the equation and the shape of the parabola.
If the equation has two real roots, the parabola has two x-intercepts. If the equation has only one real root, the parabola crosses the x-axis only once, and if the equation has no real roots, the parabola never crosses the x-axis.
If the equation of the parabola is
Then the so-called discriminant is
If the discriminant is zero, the equation has only one real root. The graph in the image only goes through the x-axis once.
Thus, the correct answer is
D. is zero
Answer:
(x+4)(x+5)
Step-by-step explanation:
Before we figure out the problem, we must know that the two numbers in the expression must equal the middle number when added and that when multiplied they must equal the last number.
To do this, we list the multiplies of 9 and 20.
9: 1,9,3
20:1,20,2,10,4,5
From there, you go through both lists and follow the given rules stated at the top. When you do that you get, <u><em>(x+4)(x+5)</em></u>.
To check this answer, you can do a various amount of proofs but the most effective one to me is the F.O.I.L. (first, inner, outer, last) and voila.
C is the correct answer $136.00 is the cost
Answer:
In ΔECB ,
∠ECD = ∠EBC + ∠BEC (∵ Exterior Angle Property of a triangle)
⇒ ∠BEC = ∠ECD - ∠EBC ................. eqn.1
In ΔABC ,
∠ACD = ∠BAC + ∠ABC (∵ Exterior Angle Property of a triangle )
⇒ 2∠ECD = ∠BAC + 2∠EBC
⇒ ∠BAC = 2∠ECD - 2∠EBC = 2(∠ECD - ∠EBC)
( Putting eqn.1 here )
⇒ ∠BAC = 2∠BEC (∵∠BEC = ∠ECD - ∠EBC)