The plane you want is parallel to another plane, <em>x</em> - <em>y</em> + <em>z</em> = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains <em>r</em><em>(t)</em>. Then the equation of the plane is
⟨<em>x</em>, <em>y</em> - 4, <em>z</em> - 4⟩ • ⟨1, -1, 1⟩ = 0
<em>x</em> - (<em>y</em> - 4) + (<em>z</em> - 4) = 0
<em>x</em> - <em>y</em> + <em>z</em> = 0
Answer:
the answer would be 14-16=-2
Step-by-step explanation:
first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer
Answer:
45
Step-by-step explanation:
Answer:
1. 37.0 in²
2. 55 m²
Step-by-step explanation:
1) all angles in an equilateral triangle are 60°
The dotted line is an angle bisector which also divides the triangle into two congruent right angle triangles
Find the base using trig ratio
cos(30) = 8/base
base = 16sqrt(3)/3
Area = ½ × 16sqrt(3)/3 × 8
= 36.95041723 in²
2. d1: 5 + 5 = 10
d2: 3 + 8 = 11
Area = ½ × 10 × 11
= 55 m²
Answer:
(x+12)
Explanation:
You can factor this problem out as (x+12)(x-4), so (x+12) is a factor.