Answer:
I don't love you
Step-by-step explanation:
yan po sana makatulong
Answer:
23 cm
Step-by-step explanation:
use the reverse of the pythagorean theorem!
8 is your answer I believe. 32 divided by 2 is 16, 16 divided by 2 is 8, 8 divided by 2 is 4, 4 divided by 2 is 2
Answer:78 guests
Step-by-step explanation:
understanding the problem
the furniture is set up for the reunion and we need to determine how many guests are expected
devising a plan
the furniture for guests = chairs
steps
determine the number of tables as there are 6 chairs to each table
what is the unknown?
number of tables and number of chairs
what are the data?
364 furniture legs
tables sit 6 chairs each
tables have 4 legs
each chair has 4 legs
which letter should determine the unknown?
a= tables
b= chairs
what is the condition linking the letters
a*6=b
(a+b)*4=364
is the condition sufficient to determining the unknown?
364/4= a+b
91= a + b
a * 6 = b
b/6 = a
91- b = a
91 = (91-b) + a
(91-b) * 6 = b
b/6=91-b
b= 6*91 - 6b
b = 546 - 6b
b + 6b = 546
7b = 546
b = 546 / 7
answer
b = 78 guests = chairs
test
a*6 = 78
a= 78/6 = 13 tables
(a + 78) * 4 = 364
(13+78)*4 = 364
91*4= 364 correct
364/4= a+ 78
91 = a + 78
91 - 78 = a = 13 tables
Thought Process:
The solution to this can be found through plotting both of these functions and shading each region above or below the lines (as per the greater and less than signs given)
the region that overlaps both of the above shaded region is the solution set for all ordered pairs that satisfy the two inequalities.
Solution:
let's start by plotting
it's the same as plotting , but '>' sign suggests to shade everything above this line.
<u>side note:</u>
'' excludes every ordered pair in the line,
'' includes every ordered pair in the line,
coming back to our solution:
now let's plot the other equation
it's the same as plotting , but '<' sign suggests to shade the area below this line.
The solution set is the area that is overlapped by the two shaded regions.
So every ordered pair (or coordinate (x,y)) that lies within this overlapped shaded region, excluding the points that lie on the lines themselves, satisfy the given two inequalities