Answer:
n = 18
Step-by-step explanation:
(2n) and (n + 18) are vertically opposite angles and are congruent, then
2n = n + 18 ( subtract n from both sides )
n = 18
Answer:
2x = y
Step-by-step explanation:
As you can see in the table, y = 2x, this is proven by the fact that if you divide any value in the y of the table by 2 you will get its corresponding x value, proving that 2x = y is the function that is used to represent this table's value.
Answer: 4 7/20 gallons
Step-by-step explanation:
Gallons of soup made = 10 3/5
Gallons that was chicken noodle = 6 1/4
The gallons that wasn't chicken noodle will be:
= 10 3/5 - 6 1/4
= 10 12/20 - 6 5/20
= 4 7/20
Therefore, 4 7/20 gallons wasn't chicken noodle.
Answer:
s = 6, r = 8 or s = 4, r = 7
Step-by-step explanation:
2r - s = 10
2r = 10 + s
r = 5 + s/2 --(1)
rs - s^2 = 12 --(2)
sub (1) into (2):
(5 + s/2)s - s^2 = 12
5s + 0.5s^2 - s^2 = 12
-0.5s^2 + 5s - 12 = 0
s^2 - 10s + 24 = 0
(s - 6)(s - 4) = 0
therefore s = 6 or s = 4
when s = 6, r = 8 and when s = 4, r = 7
if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)
Answer:
(f + g)(x) = x^2 + 3x - 6
Step-by-step explanation:
Given f(x) = x^2 + x − 2 and g(x) = 2x − 4
Plug in:
(f + g)(x) = x^2 + x − 2 + 2x − 4
(f + g)(x) = x^2 + 3x - 6
