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yuradex [85]
2 years ago
11

The direct distance from a starting point to a finish line is 20 miles. Unfortunately, you can't take the direct route. If you t

ravel 16 miles west, how many miles south must you travel to reach the finish line? A. 12 B. 16 C. 4
Mathematics
1 answer:
ira [324]2 years ago
6 0

Answer:

12

Step-by-step explanation:

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You should have ____ revolving credit lines. A. 3. B. 1 to 3. C. 2. D. 2 to 6
Rom4ik [11]
Revolving credit lines open account credit offered by banks or other financial institutions.
You should have <span>2 to 6 </span>revolving credit lines.
8 0
3 years ago
Read 2 more answers
How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
How many hours pass between the two temperatures shown?
Blizzard [7]

Answer:

7 . time os on axis X. total vector lenght is 7.

8 0
2 years ago
if i have a line y=4x+7. I want to create another line that is perpendicular through point A (16,2). What is the new equation?
Charra [1.4K]
Perpendicular lines have the negative reciprocal slope, so the slope of your new line will be -1/4 and the current equation will be as follows:
y = -1/4x + b
(where b is the y intercept)

to find b, plug in point A and you'll get:
2 = -1/4(16) + b
2 = -4 + b
6 = b

the equation will be:
y = -1/4x + 6
4 0
3 years ago
Convert to slope form: 3x-4y=8 then graph the line on the grid.​
alexandr402 [8]

Answer: 3/4

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

HOPE THIS HELPS :)

6 0
3 years ago
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