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alexandr1967 [171]
2 years ago
9

1. 3+(-20)= 2. (-8)-12= 3.(-15)-(-10)= 4.(-19)+18=

Mathematics
1 answer:
seropon [69]2 years ago
7 0

Answer:

1. -17     2. -20     3. -5    4. -1

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Answer:

Angle D is complementary to angle A

Step-by-step explanation:

Complementary angles sum to 90 degrees.

Since angle is B is 90 degrees, the sum of angles A and D are also 90 degrees to make a straight line with an angle measure of 180 degrees.

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

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3 years ago
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5 0
3 years ago
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Mama L [17]

Answer:

84

Step-by-step explanation:

they use 3 plates a day

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so in one day, they use 12 plates [3x4]

they camp for 7 days, so 12x7.

84!! :D

4 0
3 years ago
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