For this, we will be using the quadratic formula, which is , with a=x^2 coefficient, b=x coefficient, and c = constant. Our equation will look like this:
Firstly, solve the multiplications and the exponents:
Next, do the addition:
Next, your equation will be split into two: . Solve them separately, and your answer will be
Do the ones in pararenthes first then match them and U will get the answer
Answer:
3√2
Step-by-step explanation:
In this question, we are asked to get the value of √ ( x²-y² ), while the value of x² and y² are given to be 33 and 15 respectively.
Hence, x² =33 and y² = 15.
Putting the values of x² and y² in the above expression we get,
√ ( x²-y² ) = √ ( 33-15) = √18 =3√2. (Answer)
Answer:
7.9 m
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
This formula can be used to solve a side of any right (90°) triangle.
c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)
So, c = 32m.
Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:
31² + b² = 32²
961 + b² = 1024 Subtract 961 from both sides to get b² by itself.
b² = 63
√b² = √63 Square root both sides to get b by itself.
b = 7.93725
Answer is 7.9 meters, rounded to tenths place