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satela [25.4K]
4 years ago
7

What is 2 and 1/6 equal to

Mathematics
2 answers:
labwork [276]4 years ago
8 0
What you have to do is make it into an improper fraction. First multiple 2 and 6 which equals 12. Second you add 12 + 1 =13. Then you get 13/6 as an improper fraction. 
alexira [117]4 years ago
3 0
What do you need? Improper fractions? A decimal?
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write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m= -1/4
Vlad [161]

Your answer would be y = (-1/4)x - 1

Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.

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Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal
Nikolay [14]

Answer:

\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}

Step-by-step explanation:

Given: Monica wants to measure the dimensions of her rectangular lawn.

If the longer side of the lawn is BC=(x + 3) feet.

If the diagonal length is AC=(x + 4) feet.

Let the shortest side of lawn is AB=y feet

The angle of rectangle is right angle.

Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.

Using Pythagoreous theorem,

AB^2+BC^2=AC^2

y^2+(x+3)^2=(x+4)^2

y^2=(x+4)^2-(x+3)^2

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y^2=2x+7

y=\pm \sqrt{2x+7}

We will ignore the negative value because side of rectangle can't be negative.

y=\sqrt{2x+7}\text{ feet}

\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}

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3 years ago
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