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postnew [5]
4 years ago
10

Finish the sentence

Mathematics
2 answers:
Westkost [7]4 years ago
6 0

Answer

c = They're negative reciprocals.

Step-by-step explanation:

When dividing a positive number by a positive quotient the result is positive, when dividing a negative number by a positive quotient the result is negative. The answers will be the same, but  one will be negative and the other will be postitive, making them negative reciprocals.

Hope this helps :)

mario62 [17]4 years ago
4 0

Answer:

a: always a positive.

b: is a negative

c:???

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<h3>How to simplify the shape.</h3>

So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.

Remember that:

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Then the area of the given shape is:

A = 8*4/2 - 3*2 - 2*2/2

A =  16 - 6 - 2

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So the given shape has an area of 8 square units.

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In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo
Scorpion4ik [409]

Answer:

x=\frac{8}{3}\ cm

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

A=\frac{1}{2}(AB)(BC)

we have

A=17\ cm^2

AB=(3x-2)\ cm

BC=(x+3)\ cm

substitute the values

17=\frac{1}{2}(3x-2)(x+3)

34=(3x-2)(x+3)

34=3x^2+9x-2x-6

3x^2+7x-6-34=0

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The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

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x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2+7x-40=0

so

a=3\\b=7\\c=-40

substitute in the formula

x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}

x=\frac{-7(+/-)\sqrt{529}} {6}

x=\frac{-7(+/-)23} {6}

x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}

x=\frac{-7(-)23} {6}=-5

therefore

The solution is

x=\frac{8}{3}\ cm

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3 years ago
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