Answer:
£6000
Step-by-step explanation:
Given:
Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.
Question asked:
How much money did the arena make from Phillip Cage's concert?
Solution:
Ratio Arena and Philip cage in which money distributed = 2 : 5
Let ratio be 
Money earned by Arena = 
Money earned by Phillip Cage = 
Phillip Cage played total for = £21,000
<u>Money earned by Arena + Money earned by Phillip Cage = £21,000</u>

Dividing both sides by 7

Money earned by Arena =
= 
Thus, Arena made £6000 from Phillip Cage's concert.
Answer:
B
Step-by-step explanation:
The Distributive property says that a(b+c) = ab+ac
In my example you distribute the value on the outside to the things on the inside
In your problem, you have a six on the outside that needs to be distributed to an a and b
1) 6 multiplied by a equals 6a giving you the first part of your answer!
2) 6 multiplied by b equals 6b giving you the second part of your answer!
Dont forget that there is a + sign in between a and b, dont drop it!
Put the two values together to get 6a+6b
Let me know if you have any further questions :)
The first problem:y = -2 x² ⇒⇒⇒ x² = -y/2 →(1)33 x² + y² = 27 → (2)
By substitution from (1) at (2) with the value of x²
∴ 33 (-y/2) + y² = 27
∴ y² - 16.5 y - 27 = 0
a = 1 , b = -16.5 , c = -27
∴

∴ y = 18 or y = -3/2
By substitution from at (1) with the value of y
for y = 18 ⇒⇒⇒ x² = -18/2 = -9 (unacceptable)
for y = -3/2 ⇒⇒⇒ x² = -(-3/2)/2 = 3/4
∴

The correct options are 2 , 7
Solution of the system of equations is

and

==================================
The second problem:
The general equation of the hyperbole is

For the given equation:

a² = 225 ⇒⇒⇒ a = √225 = 15
b² = 36 ⇒⇒⇒ b = √36 = 6
∴ the slope of the <span><span>asymptotes = </span>b/a and -b/a
</span><span>
</span><span>b/a = 6/15 = 2/5
</span><span>
</span><span>-b/a = -6/15 = -2/5
</span><span>
</span><span>∴ m = 2/5 and m = -2/5
</span>