Answer:

Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square,
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.
Answer:
a)Number of terms =15
Value of sum =
(b)Number of terms =6
Value of sum
Step-by-step explanation:
A.
nth term,
a=5, r=
Simce the bases are the same, the powers are equal.
n-1=14
n=14+1=15
Number of terms =
15
Value of sum =
B.
nth term,
a=,
Simce the bases are the same, the powers are equal.
4+n-1=9
n=9+1-4=6
Number of terms =
6
Value of sum
NOTE: For the sum, we desire an expression that gives the exact value, rather than entering an approximation
Answer:
$70.51
Step-by-step explanation:
58.76 x 1.20 = $70.51 this is multiplying by 120%
you could also multiply by .2 x 58.76 = 11.75 which is the amount of the tip and add it to 58.76. giving you the same answer.
Answer:
The correct option is AAS.
Step-by-step explanation:
Consider the diagram below.
- It is provided that The triangles △ WXZ and △ YZX share a side <em>XZ</em>.
- Angles ∠WXZ and ∠XZY are right angles.
- Angles ∠XWZ and ∠XYZ are congruent.
If two angles are congruent it implies that they are same in degrees or radians.
So, the angles ∠XWZ and ∠XYZ are equal.
So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.
Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.
Thus, the correct option is AAS.