Answer:

Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:

And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:

Simplifying the right side:

Remove the parentheses:

Move the y's to the left side and the rest of the expression to the right side:

Factor out y:

Divide by x-1:

Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
Answer:
1.5 m/s or 1.5 meters per second
Step-by-step explanation:
Distance/Time=Speed
30m/20s= 1.5 m/s or 1.5 meters per second
Answer:
0.0000625
Step-by-step explanation:


Answer: The original price was $6,400
Step-by-step explanation: To find the original price, divide the sale price by 1 minus the discount rate: 4160 / (1- 0.35) = 4160 / 0.65 = 6400
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