Please I need help? And can u help me with the other questions I asked on my profile?
1 answer:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line
m = =
=
the line crosses the y-axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation in slope- intercept form
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Check the picture below.
so... notice, the base, is a square, thus is called a square pyramid, is a 5x5 square, that gives us an area of 25.
but we know the total surface area is 85 though, so, if we subtract or take away the base's area of 25, 85 - 25 = 60, what's leftover is just the area of the 4 triangular faces.
now, the triangles are all equal, so they go evenly in the area of 60, therefore 60/4 is the area of one of the triangular faces, namely 15.
so, now we know the area of one of the triangles is 15, and we know its base is 5, what's the altitude of it? which incidentally is the slant-height of the pyramid.
so... notice, the base, is a square, thus is called a square pyramid, is a 5x5 square, that gives us an area of 25.
but we know the total surface area is 85 though, so, if we subtract or take away the base's area of 25, 85 - 25 = 60, what's leftover is just the area of the 4 triangular faces.
now, the triangles are all equal, so they go evenly in the area of 60, therefore 60/4 is the area of one of the triangular faces, namely 15.
so, now we know the area of one of the triangles is 15, and we know its base is 5, what's the altitude of it? which incidentally is the slant-height of the pyramid.