Answer:
Numbers are 32, and 26.
Step-by-step explanation:
58 / 2 = 29
29 + 3 = 32 (large number)
29 - 3 = 26 (small number)
Pythagorean Theorem is:
c² = a² + b²
Let’s find the values of a and b.
Looking at the image provided in the question we have 2 number already, 70 and 120.
Let’s name the side with length 120 as a, and the side with length 70 as b.
Then we should substitute these values into the Pythagorean Theorem:
c² = 120² + 70²
c² = 14400 + 4900
c² = 19300
Then we should work out the value of c by square rooting both sides:
√c = √19300
c = 138.92444
Therefore the ball would have to be hit a total of 138.92444 units.
If you have to round, that would be 139 units.
Answer:
gradient = 9
Step-by-step explanation:
Subtracting whole numbers does not include subtracting negative numbers, whereas when subtracting integers you can include negative numbers.
The trick is to exploit the difference of squares formula,
Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:
Whatever you do to the denominator, you have to do to the numerator too. So
Expand the numerator:
So we have
But √12 = √(3•4) = 2√3, so
