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Alla [95]
3 years ago
8

Help please asap just the answers​

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

\underline \bold{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }

\huge\underline{\sf{\red{Problem:}}}

7.) Detemine the value of \sf{ {3a}^{2}  -b.}

\huge\underline{\sf{\red{Given:}}}

\quad\quad\quad\quad\sf{a = 2}

\quad\quad\quad\quad\sf{b =  - 1}

\quad\quad\quad\quad\sf{c =  - 3}

\huge\underline{\sf{\red{Solution:}}}

\quad\quad\quad\quad\sf{⟶{3a}^{2}  - b}

\quad \quad \quad \quad   \sf{⟶{(3)( 2)}^{2}  -( - 1)}

\quad \quad \quad \quad   \sf{⟶3(4)-( - 1)}

\quad \quad \quad \quad   \sf{⟶12-( - 1)}

\quad \quad \quad \quad   \sf{⟶12 +  1 }

\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}

\huge\underline{\sf{\red{Answer:}}}

\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}

8.) Find the value of \sf{ {a}^{3}  {b}^{3}  - abc.}

\huge\underline{\sf{\red{Solution:}}}

\quad\quad\quad\quad\sf{⟶ {a}^{3}  {b}^{3}  - abc}

\quad\quad\quad\quad\sf{⟶{(2)}^{3}  {( - 1)}^{3}  - (2)( - 1)( - 3)}

\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)}  - ( - 2)( - 3)}

\quad\quad\quad\quad\sf{⟶{( - 8)}  - ( 6)}

\quad\quad\quad\quad ⟶\boxed{\sf{  - 14}}

\huge\underline{\sf{\red{Answer:}}}

\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}

\underline \bold{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }

#CarryOnLearning

\sf{\red{✍︎ C.Rose❀}}

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Point C ∈
Korolek [52]

Answer:

  • AC: 11 cm
  • CB: 22 cm

Step-by-step explanation:

<u>Given</u>:

  AC + CB = 33

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4 years ago
Liana's class was going on a very exciting school trip, but when Liana got to school, the school bus had already left! Frantic,
Llana [10]

Answer:

  • <u>They can catch up with the bus at 10:40 am.</u>

Explanation:

1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.

2. The average speed at whic Liana's mother drive: 60 miles/hour

3. Thus, the distance they will have driven will be:

  • distance = average speed × time = 60t

4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.

Thus, the time wil have driven when Liana and her mom have driven t hours  minutes will be: t + 40 min / 60 min/ hour = t + 2/3

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6. The distance the bus will have driven will be:

  • distance = average speed × time = 45(t + 2/3)

7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:

  • 60t = 45(t + 2/3)
  • 60t = 45t + 30
  • 60t - 45t = 30
  • 15t = 30
  • t = 30/15 = 2

Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.

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