The perimeter of R is the same as the perimeter of L
Multiply the tops and multiply the bottoms
Aka
5*21
-------
7*25
And simplify
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
The first answer is ''Linear pair postulate''
The second answer is ''Definition of suplementary''
The third answer is ''m∡ACB+45=180''
The fourth answer is ''Subtraction Property of Equality''
The fifth answer is ''∡ACB is obtuse''
The sixth answer is ''Definition of obtuse triangle''
Good luck!!!
Answer:
I think you would do $9.70 times 2. Afterward, you would divide 9.70 by 5 which gives you 1.94. Finally, you add them together, leaving you with. 11.64. I hope I helped with this.
:D
