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patriot [66]
3 years ago
10

Given: x + 2y = -6.

Mathematics
1 answer:
wel3 years ago
4 0

very positive about these results

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Jordan is cutting a 2 meter by 1 1/4 meter piece of rectangular paper into two pieces along its diagonal. what is the area of ea
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Each piece will have an area which is 1/2 of the area of the rectangle. The diagonal cuts the rectangle in half.

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

= 1 1/4 m^2
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Round off 4095 nearest hundreds​
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4100

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Use the completing the square method to find the roots of 2x^2+3x-15=13 include the steps, it would be greatly appreciated thank
Monica [59]

Answer:

The roots are

x1= \frac{-3+\sqrt{233}}{4}

x2= \frac{-3-\sqrt{233}}{4}

Step-by-step explanation:

we have

2x^{2}+3x-15=13

so

Group terms that contain the same variable, and move the constant to the opposite side of the equation

2x^{2}+3x=13+15

2x^{2}+3x=28

Factor the leading coefficient  

2(x^{2}+(3/2)x)=28

Complete the square. Remember to balance the equation by adding the same constants to each side

2(x^{2}+(3/2)x+(9/16))=28+(9/8)

2(x^{2}+(3/2)x+(9/16))=233/8

(x^{2}+(3/2)x+(9/16))=233/16

Rewrite as perfect squares

(x+(3/4))^{2}=233/16

square root both sides

(x+\frac{3}{4})=(+/-)\sqrt{\frac{233}{16}}\\ \\(x+\frac{3}{4})=(+/-)\frac{\sqrt{233}}{4}\\ \\x= -\frac{3}{4}(+/-)\frac{\sqrt{233}}{4}

x1= -\frac{3}{4}(+)\frac{\sqrt{233}}{4}=\frac{-3+\sqrt{233}}{4}

x2= -\frac{3}{4}(-)\frac{\sqrt{233}}{4}=\frac{-3-\sqrt{233}}{4}

7 0
3 years ago
Two angles of traingle is 40° and 60° . find the measurement of the third angle​
allochka39001 [22]

Answer:

80 degrees

Step-by-step explanation:

the angles in a triangle all add up to 180 degrees

7 0
3 years ago
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