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3 years ago

Supply the missing reasons to complete the proof

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

3. Congruent by AAS

4. CPCTC

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Zeke began with $2 and earned $3 for each chore he completed. Drew began with $6 and earned $1 for each chore he completed. How

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they would have to do 2 chores each. they will each have eight dollars

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3 years ago

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There are 12 people having lunch. Each person wants 1/3 of a sub sandwich. How many whole sub sandwich are needed

Oliga [24]

12/3= 4
Need 4 whole sub sandwiches in orders for everyone to get 1/3 of a sandwich

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3 years ago

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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3 years ago

Consider the equation: -2x+5y=20

raketka [301]

Answer:

$- 2x + 5y = 20 \\ 5y = 2x + 20 \\ y = \frac{2}{5} x + 4 \\ slope = \frac{2}{5} \\ y - intercept = 4$

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3 years ago

DeShawn and Jenny each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. DeS

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Yes hbu have to tell me that I’m going on to a nap I just got off

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