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3 years ago

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Susan had 8/9 acres of land. She planted 2/5 of it with corn. How many acres did she plant with corn?

1 answer:

Sergio039 [100]3 years ago

6 0

$\bf \textit{how much is }\frac{2}{5}\textit{ of }\frac{8}{9}?\implies \cfrac{8}{9}\cdot \cfrac{2}{5}\implies \cfrac{16}{45}$

that's how many acres she planted with corn.

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Sloan [31]

Answer: $\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}$

Step-by-step explanation:

<u>Given the system of equation</u>

$1)~y=-(x+2)^2+1$

$2)~y=2x+5$

<u>Expand the parenthesis of the 1) equation</u>

$y=-(x+2)^2+1$

$y=-(x^2+4x+4)+1$

$y=-x^2-4x-4+1$

$y=-x^2-4x-3$

<u>Current System</u>

$1)~y=-x^2-4x-3$

$2)~y=2x+5$

<u>Substitute the y value of the 1) equation with the 2) equation</u>

$2x+5=-x^2-4x-3$

<u>Add ( x² + 4x + 3) on both sides</u>

$2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)$

$2x+5+x^2+4x+3=0$

<u>Combine like terms</u>

$x^2+2x+4x+5+3=0$

$x^2+6x+8=0$

<u>Factorize the quadratic equation</u>

$(x+4)(x+2)=0$

$x=-4~\text{or}~x=-2$

<u>Substitute the x values into one of the equations to find the y value</u>

$y=2x+5$

$y=2(-4)+5=-8+5=-3$

$y=2(-2)+5=-4+5=1$

<u>Therefore, the two solutions are:</u>

$\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}$

Hope this helps!! :)

Please let me know if you have any questions

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What is the difference between the areas of a circular target region with radius 5 m and a target region with radius 7 m? Round

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2 years ago

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Given:

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To find:

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Solution:

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Distance formula:

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Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

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On further simplification, we get

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2 years ago

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M = 0.025
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Answer:

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Step-by-step explanation:

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2 years ago