Let x = roller coaster ticket
let y = boat ride ticket
x + y = 10
4x + 3y = 37
x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3
x = 10 - y
x = 10 - 3
x = 7
x = 7 ; y = 3
4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37
Answer:
About three weeks.
Step-by-step explanation:
147 divided by 4.50 = 32.6
32.6 divided by 11 is almost 3. So about three weeks.
Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)
Answer: 15.2
Step-by-step explanation:
(14)^2 + (6)^2 = c^2
196 + 36 = c^2
232 = c^2
Square root both sides
15.231546 = c
15.2 ≈ c
X^2 - y^2 = a
2xy = b
x^2 + y^2 = c
A polynomial identity is an equation that is always true.`1
You can relate x^2 + y^2 with x^2 - y^2 and 2xy in this ways.
1) Step 1:
[x^2 + y^2]^2 = x^4 + 2(xy)^2 + y^4 = c^2
2) Step 2:
[x^2 - y^2] = x^4 - 2(xy)^2 + y^2 = a^2
(2xy)^2 = 4(xy)^2 = b^2
x^4 - 2(xy)^2 + y^2 + (2xy)^2 = x^4 + 2(xy)^2 + y^2
------------------------ ---------- --------------------------
↓ ↓ ↓
a^2 b^2 = c^2
Answer: the identity is
c^2 = a^2 + b^2 equivalent to
(x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2
