Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
The first one is the first choice
You need to make a draw of the problem to understand what to do.
The height of the pyramid, and half the original base side length make a rectangle triangle, whose hypothenuse is the height of the lateral area of one of the pyramids faces, so we have. So we use Pythagoras:
hyp^2 = 11^2 + 14^2 = 317
hyp = 17.8 m
that is the height of the lateral area triangle
Now to find the area of the lateral area triangle, we have:
a = base*height/2 = 22*17.8/2
a = 195.8 m^2
that is the lateral area of the pyramid, 196 m^2
Answer:2.73
Step-by-step explanation: 2.73
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