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Sedaia [141]
3 years ago
5

Can someone clearly explain and workout Q20? Much appreciated

Mathematics
1 answer:
sveta [45]3 years ago
3 0
What we do is take half of the x coefficient, which in this case is 4. So take half of 4 to get 2. Then square 2 to get 2^2 = 4. 

We will add and subtract 4 to the expression so that things don't change. It's effectively the same as adding zero. 

Once this happens, you rearrange terms and factor.

x^2 + 4x + 3
x^2 + 4x + 3 + 0
x^2 + 4x + 3 + (4-4)
(x^2 + 4x + 4) + 3 - 4
(x^2 + 4x + 4) - 1
(x+2)^2 - 1

Answer: (x+2)^2 - 1

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No map given but it shouldn't matter.

E is the 5th letter, L the 12th.

Start at S(6,12).  End at E(10,5)

The vector between them, E-S=(4,-7)

Each unit is 1/16 of a mile, though that probably doesn't matter that much.

Doug has to stay on the grid, so has to run |4|+|7|=11 units.  At 30 mi/hr that takes (11/16)/30 =  0.022916 hours.

Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units.  At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.

Answer:  Doug wins

Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph.  That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.

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4 years ago
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A store had 913 sodas, both diet and regular. The ratio of diet sodas to regular sodas was 8:3. How many diet sodas were there?
Elodia [21]

Answer:

<h2>There are 664 diet soda</h2>

Step-by-step explanation:

Step one:

given data

total soda= 913

we are told that the ratio of diet sodas to regular sodas is 8:3

this means that for every 8 diet soda there is 3 regular soda

the total ratio is 8+3=11

Step two:

we are going to use part to all principle

let the diet soda be x

8/11=x/913

cross multiply

11x=913*8

divide both sides by 11

x=913*8/11

x=7304/11

x=664

There are 664 diet soda

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Its B

Step-by-step explanation:

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