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Law Incorporation [45]
3 years ago
11

Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

  x + y + z = 14

Step-by-step explanation:

If the points are designated A, B, C, then ...

  AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).

That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...

  (1, 1, 1)·(x, y, z) = (1, 1, 1)·A

  x + y + z = 14

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Tracy needs to find the length and width of the equiptment storage room where she works. the room is 2 meters long than it is wi
ElenaW [278]
Rectangle:
P = 2 (L+W) but length is 2 meters longer than wide
then L = W + 2, So
P = 2 (L + W)
24 = 2(W+2+W)
24 = 2 (2 + 2W)
24 = 4 + 4W
So 4W = 24 -4 =20
W = 20/4= 5, L = 5+2= 7

Double check
24 = 2*(5+7) = 2 *12 = 24
4 0
3 years ago
Read 2 more answers
A line passes through the points (1, 7) and (0, 3). What is its equation in slope-intercept form?
nata0808 [166]

Answer:1.  you can compute the slope, m

2.  point (0,3) is the y-intercept; b=33

3.  y = mx + b, so put the numerical values in for m & b.  DON

Step-by-step explanation:

4 0
3 years ago
75 POINTS HELP PLEASE
Lady bird [3.3K]
The correct answer is C) (5×10⁴)(1×10²)

Explanation:
The number of trees can be calculated by the formula:
trees = density × area

Consider that the problem says that the researcher makes an approximation, and the answers have numbers written in scientific notation.

The density is 86 trees/km², 
which can be rounded to 100 trees/km² 
and written as <span>1×10².
Therefore, density = </span>1×10² trees/km²

The area of a square can be calculated by the formula:
A = s²
   = 220² 
   = 48400 km²
which can be roundend to 50000
and written as <span>5×10⁴
Therefore, area = </span>5×10⁴ km²

Now, we can substitute in the original formula:
trees = (1×10²)(5×10⁴)
3 0
2 years ago
Read 2 more answers
Can someone please help me out
const2013 [10]

Answer:

x = 8, A = 182 units²

Step-by-step explanation:

The perimeter P of a rectangle is calculated as

P = 2l + 2b ( l is the length and b the breadth )

Given P = 66, then

2(7) + 2(3x + 2) = 66 ← distribute and simplify left side

14 + 6x + 4 = 66

6x + 18 = 66 ( subtract 18 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Then

3x + 2 = 3(8) + 2 = 24 + 2 = 26, so

A = 7 × 26 = 182 units²

8 0
2 years ago
The test scores for 9 students on the Unit 1 Test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the
serg [7]

Answer:

40

Step-by-step explanation:

how many data? : 9

(9+1) x 1/4 = 2.5 (no 2.5: between 35 and 45)

(35+45)/2 = 40

3 0
1 year ago
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