All categories

2 years ago

Prove step by step that 5^20-5^19 is an even number with out using a calculator Please can you tell me the steps and why?

Mathematics

1 answer:

hammer [34]2 years ago

8 0

9514 1404 393

Answer:

factor out 5^19

Step-by-step explanation:

a) Reason from parity:

both 5^20 and 5^19 are products with only odd numbers (5) as factors. Hence each is an odd number. The difference of odd numbers is always even.

b) Factor:

5^20 -5^19 = 5^19(5 -1) = 5^19×4

This product has an even factor (4), so is even.

You might be interested in

I’m confused on this one

GenaCL600 [577]

The slope of CD is

$m = \dfrac{6 - -4}{2 - 0} = 5$

The slope of the perpendicular bisector is the negative reciprocal,

$n = -1/m = - \dfrac 1 5$

The perpendicular bisector passes through M, the midpoint of CD

M =( (0+2)/2, (-4 + 6)/2) = (1, -1)

So point slope form for the perpendicular bisector is

$y - -1 = - \frac 1 5(x - 1)$

Solving for y gives slope intercept form.

$y = - \frac 1 5 x - \frac 4 5$

Not sure how to type that without spaces; we didn't have online homework back then.

Answer: y=(-1/5)x-4/5

3 0

3 years ago

Margret works at a bakery. She is paid $300 every week plus $12 an hour for any

vivado [14]

Answer:

300+12x=$450

Step-by-step explanation:

8 0

3 years ago

What is 58,413,000,000 in scientific notations

blagie [28]

Answer:

5.8413 × 10^10

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

When two is subtracted from one fourth of a number the result is 17 find the number

lisov135 [29]

76

17+2=19
19×4=76

I honestly don't know, cause I hate math.

7 0

3 years ago

I’ll mark you brainlist I’ll mark you brainlist show work

Alex787 [66]

Answer:

2=p

Step-by-step explanation:

-5p+7=5p-13

+5p +5p

7=10p-13

+13 +13

20=10p

÷10 ÷10

2=p

5 0

2 years ago