(a) Compute the sums of the squares of Rows 1-4 of Pascal's Triangle. That is, compute:

1 answer:

3 0

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Aaron can run 4 miles in 30 minutes. How long does it take him to run one mile

stealth61 [152]

You first divide 30 by 4 to see how long it takes him to run one mile. Then you get 30/4 which simplified is 15/2 minutes

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3 years ago

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Determine as a linear relation in x, y, z the plane given by the vector function F(u, v) = a + u b + v c when a = 2 i − 2 j + k,

Ostrovityanka [42]

Answer:

2x - y - 3z = 0

Step-by-step explanation:

Since the set

{i, j} = {(1,0), (0,1)}

is a base in $\mathbb{R}^2$

and F is linear, then

would be a base of the plane generated by F.

F(1,0) = a+b = (2i-2j+k)+(i+2j+k) = 3i+2k

F(0,1) = a+c = (2i-2j+k)+(2i+j+2k) = 4i-j+3k

Now, we just have to find the equation of the plane that contains the vectors 3i+2k and 4i-j+3k

We need a normal vector which is the cross product of 3i+2k and 4i-j+3k

(3i+2k)X(4i-j+3k) = 2i-j-3k

The equation of the plane whose normal vector is 2i-j-3k and contains the point (3,0,2) (the end of the vector F(1,0)) is given by

2(x-3) -1(y-0) -3(z-2) = 0

or what is the same

2x - y - 3z = 0

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3 years ago

6) If the perimeter of the equilateral triangle ABC is x inches. The mid points of the sides are joined to form the smaller tria

Nataliya [291]

Answer:

96 in

Step-by-step explanation:

If the midpoints of the sides are joined to form the smaller triangle, then the perimeter of the smaller triangle is half the perimeter of the greater triangle, because the sides of the smaller triangle are midlines of the greater triangle. By the triangle's midline theorem, each triangle's midline is half the side to which this midline is parallel.

So, if the perimeter of 6th triangle is 3 inches, then the perimeter of 5th triangle is 6 inches, the perimeter of 4th triangle is 12 inches, the perimeter of 3rd triangle is 24 in, the perimeter of 2nd triangle is 48 in and the perimeter of the initial triangle is 96 in

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What’s the surface area of this shape?

AlexFokin [52]

Do 13 times 14 times 13 times 5 and then divide by however many sides there are on the shape . I think

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3 years ago

The nth term of a sequence is 25-3n

Komok [63]

Answer:

22, 19, 16 and - 5

Step-by-step explanation: