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2 years ago

The perimeter of a rectangular flower garden is 66m and its area is 272m^2. Find the length of the garden.

1 answer:

6 0

So we have lengths a and b and are given:

2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272

plug in one into the other:

(33-b)b = 272 => -b^2 +33b - 272 = 0

Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.

So a=16 and b=17 or vice versa.

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

1 year ago

Can someone help<br><br> Write an equivalent expression for<br> 63.62.65.6.

Otrada [13]

When multiplying the same number raised to different powers add the powers together.

3 + 2 + 5 = 10

Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:

10 + 1 = 11

Answer: 6^11

5 0

2 years ago

How can I get 104 using 2,3,5,8

IrinaK [193]

8 x (5 x 2 + 3)= 8 x ( 15 + 3) = 8 x 13 = 104.
Hope I helped!(:

5 0

3 years ago

Read 2 more answers

HELP ME!!

inysia [295]

Answer:

y intercept (0,-2) x intercept (3,0)

Step-by-step explanation:

first we have to solve for y.

2x-3y=6

step 1 subtract 2x from each side

-3y=-2x+6

step 2 divide each side by -3

y=2/3x-2

now I am going to graph this to make it easier for you

5 0

2 years ago

Lily wants to buy a smartphone, she has $500 to spend .list three ways she can get a good deal

BaLLatris [955]

1. Check the prices of phones from different stores.

2. Do some research to see what is the average cost of the phone.

3. Check for possible discounts.

Hope this helps :)

3 0

3 years ago