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Triss [41]
3 years ago
9

40 Points!!! Help please!! Will give Brainliest!!!

Mathematics
1 answer:
Marta_Voda [28]3 years ago
4 0

Answer:

3/8 sq. units


Step-by-step explanation:

The formula for area for a trapezoid is

Area = (1/2)*(base1+base2)*height

Area = (1/2)*(1/2 + 1/4) * 1

Area = (1/2)*(2/4 + 1/4)

Area = (1/2)*(3/4)

Area = 3/8 sq. units

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3. What is the distance from (0,0) to (24,10) on the<br> coordinate plane?
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John went to the store to buy trail mix for a hike. He could buy 3 pounds of packages for $2.49 or 8 pounds of packages for $6.4
Lelechka [254]

<u>First what I did was find how much each pound would cost per different package. </u>

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<u>So each pound in the 3 pounded package would cost $0.83. </u>

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3 years ago
Maria wrote the equation log(x/2)+log(20/x^2)=log8. What is the solution to Maria's equation?
Fed [463]
The solution is x=5/4.

We use the properties of logs to rewrite the equation:
\log[(\frac{x}{2})(\frac{20}{x^2})]=\log8&#10;\\&#10;\\\log(\frac{20x}{2x^2})=\log8&#10;\\&#10;\\\log(\frac{10}{x})=\log8

Get all of the logs on the same side of the equation y subtracting log 8:
\log(\frac{10}{x})-\log8=\log8 - \log8&#10;\\&#10;\\\log(\frac{10}{x})-\log8=0

Use the properties of logs to rewrite:
\log(\frac{10}{x}\div8)=0&#10;\\&#10;\\\log(\frac{10}{x}\div\frac{8}{1})=0&#10;\\&#10;\\\log(\frac{10}{x}\times\frac{1}{8})=0&#10;\\&#10;\\\log(\frac{10}{8x})=0

Exponentiate:
10^0=\frac{10}{8x}&#10;\\&#10;\\1=\frac{10}{8x}

Multiply both sides by 8x:
1*8x = (10/8x)*8x
8x=10

Divide both sides by 8:
8x/8 = 10/8
x = 10/8 = 5/4
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3 years ago
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