Answer:
the vertex is (-7, -63)
Step-by-step explanation:
x^2 + 14x - y - 14 = 0
x^2 + 14x = y + 14 (to isolate the x)
x^2 + 14x + 49 = y + 14 + 49
(x+7)^2 = y + 63
now we convert to vertex form, which is y = a(x – h)2 + k :
(x+7)^2 = y + 63
y = (x+7)^2 - 63
The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)
The area of a regular hexagon is the 3 times the product of the apothem and side length.
22. 3*(6.1 m)*(7 m) = 128.1 m^2
23. 3*(11.3 in)*(13 in) = 440.7 in^2
24. 3*(9.5 ft)*(11 ft) = 313.5 ft^2
25. The area ratio is the square of the linear dimension ratio: (3/4)^2 = 9/16.
This is a Logic Problem. So we need to use operators to solve this problem. There are several operators in logic. Operators can be <em>monadic</em> or <em>dyadic</em>. A monadic operator operates on a single simple statement. Other operators will all be dyadic operators <span>because they operate on two simple statements. So in this problem we have the following operators:
</span>
1. The negation operator:
<u>Symbol:</u> ~
<u>Symbol name:</u> Tilde
<u>Parts of negation</u><span><u>:</u> A simple statement with a tilde preceding it</span>
2. Conjunction:
<u>Symbol:</u> &
<u>Symbol name:</u> Ampersand
<u>Parts of conjunction:</u> <span>Two simple statements joined by the conjunction symbol.
</span>
So we can name the statements as follows:
A: I am at home
B: I am playing video games
So the translations is as follows:
~(A&B) = It is not the case that I am at home and am playing video games