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3 years ago

14 The straight line, L, has the equation y = 5 - 2x

Mathematics

1 answer:

diamong [38]3 years ago

4 0

Answer:

When it crosses y-axis it means that x coordinate must be 0 so let substitute 0 to x, y=5-2*0

So coordinates are [0,5]

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Prove that the product of any two consecutive natural numbers is even.

Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

$Product=n(n+1)\\\\$

We know that the sum of 'n' consecutive natural numbers starting from 1 is

$S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)$

Thus from equation 'i' we can write

$Product=2\times S_n$

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

6 0

3 years ago

Dan had 2 1/2 cookies and ate 1/2 of a cookie. Of the original number of cookies, the fractional part that he ate was

Lemur [1.5K]

Answer:

1/2 is the fractional part of cookie which was eaten by Dan.

Step-by-step explanation:

Dan has 2 1/2 cookies and ate 1/2, so we can just subtract the 2 1/2-1/2

which cancels out the 1/2, which is the fractional part.

He has 2 cookies left.

5 0

3 years ago

What is the definition of constant

Pie

Answer: If you mean the math definiton then a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

7 0

3 years ago

The following table shows the possible meal combinations when choosing an entrée and a side dish at Marty's Diner. Side Dish Ent

Dimas [21]

Answer:

5/9

Step-by-step explanation:

There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%2013x%3D%20-6" id="TexFormula1" title="x^{2} + 13x= -6" alt="x^{2} + 13x= -6

HACTEHA [7]

Answer:

Is that a magic spell??

Step-by-step explanation:

???

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2 years ago