Answer:
add 33 to both sides
Step-by-step explanation:
Given
-
x - 33 = 33 ( add 33 to both sides )
-
x = 66 ( multiply both sides by - 2 to clear the fraction )
x = - 132
Answer:
Let the additional weight that can be added be = x
Current weight of the bag = 38 pounds
Total weight can be = 50 pounds
The equation becomes:
38+x < or equal 50
x < or equal 50-38=12
Hence, a weight of 12 pounds cab be added to the current wight.
Ninety seven and sixty nine hundredths
Answer:
The diver will be 8 feet from the end of the board when he hits the water.
Step-by-step explanation:
The diver hits the water when y = 0.
To find the distance, we have to find the values of x when y = 0.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this problem, we have that:


So

Then



It is a horizontal distance, so the answer is a positive value.
The diver will be 8 feet from the end of the board when he hits the water.
Hi there!

Use the Pythagorean theorem to find the length of the line.
If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.
Use the Pythagorean theorem equation:
c² = a² + b²
Plug in the height and length:
c² = 6² + 10²
Simplify:
c² = 36 + 100
c² = 136
Take the square root of both sides:
c = √136. The correct answer is D.