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3 years ago

What is a numerical scale?

Mathematics

1 answer:

Masja [62]3 years ago

7 0

A scale displaying digits...

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

3 0

3 years ago

Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)

Afina-wow [57]

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

4 0

2 years ago

What’s the distance for someone that drove 60 miles for 12 hours

Colt1911 [192]

Answer:

720 miles.

Step-by-step explanation:

Going 60 miles per hour for 12 hours would amount to driving 720 miles in total.

3 0

3 years ago

HELP! This needs to be answered ASAP!

andriy [413]

Answer:

it will take 4 hours( I'm not so sure)

Step-by-step explanation:

$25x $15

------- = ------------- + 75

1h. 1h

25x = 100

x =100/25

x = 4

8 0

3 years ago

A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds

Mila [183]

Answer:

The range includes all numbers from 5 to 12.5.

Step-by-step explanation:

The range is along y- axis and the domain is along x- axis.

Range is given in heights and domain is given in time seconds.

It can depicted that for t= 0 secs the ball is at 5 feet and so on .

Therefore the range is given by numbers from 5 to 12.5.

Whereas the domain is given by numbers 0 t0 8.5 seconds

3 0

3 years ago