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vladimir1956 [14]
3 years ago
8

What is √ 63 − 4 √ 7??

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

- √7

Step-by-step explanation:

√63 = √9*7 = √9*√7

Sqrt(9) = 3

3√7 - 4√7 = -1√7=  -√7

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manuel wanted to put a brick walkway through his backyard from door to bbq area. the walkway is going to be 6 yards long. so far
In-s [12.5K]

Answer:

155 inches

Step-by-step explanation:

1 yard = 3 feet = 36 inches ; 6 yards = 18 feet = 216 inches ; 216 inches-61 inches = 155 inches

5 0
3 years ago
Which of the following best describes the slope of the line below?
Lina20 [59]

Answer:

I think the answer is A.Negative

Step-by-step explanation:

From x=-5 to x=0 the slope is decreasing and from x=1 to x=6 it keeps decreasing.

4 0
3 years ago
The base of a prism has n sides. Find the numbers of faces, edges, and
Harman [31]

Answers:

  • faces = n+2
  • edges = 3n
  • vertices = 2n

===========================================================

Explanation:

Think of a hexagonal room with n = 6 walls, i.e. the floor is a hexagon with n = 6 sides. The floor and ceiling are parallel to each other, and congruent hexagons. That's 2 faces so far. Then we have another 6 faces to account for the walls. This gives 2+6 = 8 faces of a hexagonal prism.

In more general terms, a prism with a base of n sides will have 2 parallel and congruent base faces, and n walls or lateral faces. This gives n+2 total faces.

------------------------

Let's go back to the hexagonal prism. The floor has 6 sides to it, and so does the ceiling. We have 6+6 = 12 edges so far. Then we have another 6 edges where each of the rectangular walls meet up. That gives 12+6 = 18 edges total of this hexagonal prism room.

For any more general case, each base has n sides. That gives 2n sides so far for just the bases. Then add on another n for the lateral edges and we get 3n total edges.

--------------------------

Once again lets revisit the room with the hexagonal floor and ceiling. The floor has 6 vertices and the ceiling has the same vertex count. Therefore, this prism has 6+6 = 12 vertices.

For the general case, each base has n vertices. There are 2 such identical bases giving 2n vertices total.

---------------------------

One way to check the answer:

We could use Euler's Polyhedron Formula which is

F+V-E = 2

where,

  • F = number of faces
  • V = number of vertices
  • E = number of edges

For the hexagonal prism we found

  • F = 8
  • V = 12
  • E = 18

Then notice how

F+V-E = 2

8+12-18 = 2

20-18 = 2

2 = 2

This confirms the formula works for a hexagonal prism.

Now let's check it for the more general case

We found earlier that,

  • F = n+2
  • V = 2n
  • E = 3n

So,

F+V-E = 2

n+2+2n-3n = 2

3n-3n+2 = 2

0n+2 = 2

0+2 = 2

2 = 2

This helps confirm the answer for any prism with the base of n sides.

4 0
2 years ago
What is the distance between (-5,-6) and (-3,-8)
Sergio [31]

Answer:

x:-2

y:2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4
miv72 [106K]
y=mx+b
(3;-8)\rightarrow x=3;\ y=-8;\ (6;-4)\rightarrow x=6;\ y=-4

substitute:\\\\  \left\{\begin{array}{ccc}-8=3m+b\\-4=6m+b&|\cdot(-1)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-8=3m+b\\4=-6m-b\end{array}\right}\ \ \ |add\ both\ sides\\.\ \ \ \ -4=-3m\ \ \ |:(-3)\\.\ \ \ \ m=\dfrac{4}{3}\\\\substitute\ the\ value\ of\ m\ to\ first\ equation:\\\\3\cdot\dfrac{4}{3}+b=-8\\\\4+b=-8\ \ \ |-4\\b=-12\\\\Answer:\boxed{y=\dfrac{4}{3}x-12}
4 0
3 years ago
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