Answer:
D. 2(√{x} + √{x - 2})
Step-by-step explanation:
As hinted in the question, we have to simplify the denominator.
To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x² - y², right? Check the next line:
(x - y) (x + y) = x² + xy -xy - y² = x² - y²
If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values:
Then we simplify:
Answer is D. 2(√{x} + √{x - 2})
The triangles are drawn in the picture attached.
Let's call M the intersection point of AB and CD. Since CD is the perpendicular bisector, we know that:
AM ≡ MB (bisector = divides into two equal pieces)
∠AMD ≡ ∠AMC ≡ ∠BMC ≡ ∠BMD (perpendicular = forms 4 angles of 90°)
Considering ΔAMD and ΔBMD, they have also MD in common, therefore, we can use the SAS (side - angle - side) congruency criterium to prove that they are congruent.
Similarly for ΔAMC and ΔBMC.
Therefore, <span>ΔADC ≡ ΔBCD because they are made of congruent triangles.</span>
Hence, with the
SAS congruency theorem, we can demonstrate that ΔADC ≡ ΔBCD
You need to divide what's on top first then what's on the bottom. After that you need to do the am to the other side. Then multiply them together
Answer:
≈ £ 4584.38
Step-by-step explanation:
Firstly, we need to find the number of litres that Mr. Leonard needs to fill up his tank:
We know that there is already 450 litres in the 1200 litre tank, so he must need 1200 - 450 = 750 litres.
I'm not quite sure what the variable p means, but I'm going to assume that p represents the number of litres and that 81.5 is the price per litre in pounds.
So:
Total price = 81.5p
Total price = 81.5(750)
Total price = £61125
We have to remember though that the question is asking for the <em>discount</em> and not the <em>discounted price</em>, so:
61125 × 7.5%
61125 × 0.075 = 4584.375
≈ £ 4584.38
