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pishuonlain [190]
3 years ago
6

Find the length of QT if Q is between M and T, if MT=18.3 and MQ=7.8

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer: QT= 10.5

Step-by-step explanation:

18.3-7.8

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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 <em>x</em> to the left side and factor out <em>x</em> :

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

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

Solve for <em>x</em> 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}

5 0
2 years ago
You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the
user100 [1]

Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January

Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year

3 0
2 years ago
Find the original price of a pair of shoes if the sale price is $20 after a 50% discount.
MrMuchimi
The Original Price is $40

Explanation:
50 1 20
—- = — Which means ——
100 2 40

7 0
3 years ago
Help with question three please :)
Svetllana [295]

Answer:

i believe its a

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What if the following is the sum of both solutions of the equation....
LuckyWell [14K]

answer

D 2

factor

factor the equation x^{2} - 2x - 8 = 0  into (x + a)  and (x + b) so that a + b = -2 and a * b = -8

the two numbers that meet these conditions are a = -4 and b = 2

x^{2} - 2x - 8 = (x - 4)(x + 2)

find solutions

set both (x - 4) and (x + 2) equal to zero to find your solutions

x - 4 = 0

x = 4

x + 2 = 0

x = -2

add solutions

since the two solutions are x = 4 and x = -2, add them together to get your final answer

4 + (-2) = 2

6 0
2 years ago
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