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Rina8888 [55]
3 years ago
8

abby and her 5 friends went to a restaurant to buy sodas. if they bought 2 of each size soda which expression should be used to

find the total amount of money spent on sodas
Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0
If they EACH bough 2 of EACH size soda, then it would be.

S: # of different sized sodas
P: Price of soda

5×2(S×P)

but if each sized sodas cost a different amount it would be

S: Price of first size
S2: Price of second size
S3: Price of third size
and so on.

5×2(S+S2+S3...)

but if they all together bought 2 of EACH size soda, then it is.

2(S×P)

but if each sized sodas cost a different amount it would be

S: Price of first size
S2: Price of second size
S3: Price of third size
and so on.

2(S+S2+S3...)
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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
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Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

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Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


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