The numbers 72, 8, 24, 10, 5, 45, 36, 15 are grouped in pairs so that each pair has the same

2 answers:

8 0

The answer is 36

If each pair has the same product then we must multiply the greatest number with the smallest number, and multiply the second greatest number with the second smallest number and so on

Here are your numbers ordered
5 8 10 15 24 36 45 72

If you multiply each pair, you will get 360
And 10 matches with 36

Tanzania [10]3 years ago

3 0

5 is the answer I assume

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Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the sq

lora16 [44]

Let the first number of the five we are looking for equal n.

Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).

Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).

We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²

expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0

factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2

That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].

Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.

You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).

3 0

3 years ago

Please answer question from photo

Radda [10]

We are given the equation of a line

y = -2x + 1

We have to find the value of y at three different values of x i.e. at x =0, -3 and 1

In order to find the value of y at any given x, simply replace x by that number.

So, for x=0, we will replace x by 0 to find the value of y. So y will be:
y = -2(0) + 1
y = 1
This can be expressed as an ordered pair as (0,1)

Similarly for x=-3, we get:
y = -2(-3) + 1 = 6 + 1
y = 7
This can be expressed as an ordered pair as (-3, 7)

And, finally for x=1, we get:
y= -2(1) + 1 = -2 + 1
y= -1
This can be expressed as an ordered pair as (-1, -1)

4 0

3 years ago

Read 2 more answers

We want to solve the following system using the Gauss-Jordan (i.e., Elementary Row

Dennis_Churaev [7]

Answer:

( 2 ,-1 ,3)

Step-by-step explanation:

x-2y + z = 7

3x - 5y + z = 14

2x- 2y +z =3

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