So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
Answer:
B. 16 cubic Units
Step-by-step explanation:
take the height × length × width and that would be your answer... in this case it would be 4×2×2 which equals to 16.
Answer:
Step-by-step explanation:
perpendicular is 90 degrees or inverse slope of that point
y = -1/4x -1
so the inverse slope of -1/4 is 4
now the other equation is
y = 4x - 1
So the two equations are
y = -1/4x -1
y = 4x - 1
The price of the watch before the discount is £33.4
<u>Step-by-step explanation:</u>
- Jason bought a watch and a pair of trainers for a total price of £53.55
- The total price he bought has a 15% loyalty discount.
Let us assume,
The original price of the watch and a pair of trainers before the discount = x
- The price 53.55 is less than 15% of x.
- We know that the original price x is 100%
- Therefore, the price 53.55 is 75% of x.
⇒ 
⇒ 
⇒ 
⇒ 
The original price of a watch and a pair of trainers before the discount is £71.4
It is given that,
Before the discount, the trainer's were priced at £38
Before the discount, the total cost = trainer's cost + price of the watch.
⇒ 71.4 = 38 + price of the watch
⇒ Price of the watch = 71.4 - 38 = 33.4
∴ The price of the watch before the discount is £33.4
Answer:
36
Step-by-step explanation:
75% of 48