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2 years ago

In the equation 9h=81-9, what is the next step in the equation solving sequence

Mathematics

1 answer:

stich3 [128]2 years ago

3 0

Answer:

Step-by-step explanation:

we know

9h=81-9

let's do 81-9 first

81-9= 72

so we know

9h=72

to get h on its own, divide everything by 9

h=8

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Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter

nalin [4]

<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17

To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.

Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)

Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17

Again, the dimensions should be a square. 17 X 17.</span>

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3 years ago

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nevsk [136]

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2 years ago

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The slope of (-4, 7), (-6,-4)

MrMuchimi

Answer:

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Step-by-step explanation:

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2 years ago

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What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

$3+d=5\\d=5-3\\d=2$

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3 years ago

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stepladder [879]

Answer: A

Step-by-step explanation:

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