Partial products is breaking down every number in multiplication and adding them. Regrouping is grouping number them adding them. They are different because one is taking all the numbers broken down, while the other is just a couple of the number.
Answer: y = -2x + 1 or y +2x - 1 = 0
Step-by-step explanation
Recall, equation of a line passing through two coordinates is
y - y₁ = y₂ - y₁ ( x - x₁ )
₋₋₋₋₋₋₋₋ x
x₂ - x₁
note , (x₁ = -3), (x₂ = 1), (y₁ = 7), (y₂ = -1)
Now substitute for those values in the above equation
y - (7) = -1 - 7
------ X ( x - (-3)
1 - (-3)
y - 7 = -8/4 X ( x + 3 )
y - 7 = -2(x + 3 )
y - 7 = -2x - 6
The equation now
y = -2x -6 + 7
y = -2x + 1 or
y + 2x - 1 = 0.
First, find the height of the pyramid using the volume formula.
Then use the Pythagorean theorem to find the slant height.
V = (1/3)Ah
48 = (1/3)(6^2)h
144 = 36h
h = 4
Since the side of the base is 6 in., half the side is 3 in.
The height of the pyramid is 4 in.
Call the slant height S.
3^2 + 4^2 = S^2
9 + 16 = S^2
25 = S^2
S = 5
Answer: The slant height is 5 in.
it is a 3-4-5 right triangle. because it's side lengths (6-8-10 are multiples of 3-4-5) and it has a right angle (90 degrees)
