Sam needs to score 97 on his upcoming test to keep his average at 85. If you total 63, 84, 96, and 97, the sum is 340. Dividing 340 by four test scores yields an exact average of 85.
The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.
Answer:
b = 5√3
b = -5√3
Step-by-step explanation:
We have
Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.
In this case
The roots of the equation are the b values for which f(b) equals zero.
Thus
For f(b)=0
Take the square root of both sides
Now simplify
and 
So we find that
b = 5√3
b = -5√3
Y = 3bx - 7x
y = x(3b - 7)
Assuming 3b - 7 ≠ 0, divide both sides by 3b - 7.
Solution:
