Answer:
<u>(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)</u>
Step-by-step explanation:
Given :
Solving :
- (a + b)⁸
- <u>(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)</u>
Answer: 7+5(7)+8(4)-2
Step-by-step explanation:
that’s the answer
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer: The box would have 99% of its volume taken up.
Step-by-step explanation: The box has dimensions as follows;
Length = 6 inches
Width = 5 inches
Height = 10 inches
Therefore the volume of the box shall become
Volume = L x W x H
Volume = 6 x 5 x 10
Volume = 300 cubic inches
Also a 3 inch cube would have its volume given as follows (
Volume = 3 x 3 x 3 (All sides of a cube has equal lengths)
Volume = 27 cubic inches
To find out how many of 3-inch cubes can fit in, divide 300 by 27 and that equals 11.11.
Hence you can have at most 11 cubes in the box. The total volume of 11 cubes is given as 11 x 27 which equals 297. Therefore, the percentage of the box taken up completely by the cubes is given as;
Percentage = (Volume of cubes/Volume of box) x 100
Percentage = (297/300) x 100
Percentage = 99
Therefore the box would have 99% of its volume taken up by the cubes.
Given:
The two points are (0, -2) and (9, 10).
To find:
The distance between the given points.
Solution:
Distance between the two points is
Using the above distance formula, the distance between given points is
On further simplification, we get
Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.
