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marin [14]
3 years ago
14

Given: 10-x+3x=-4(x-4) prove: x=1 and i have to use proofs for each step ex:division property​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

10+x+3x=-4(x-4)

10+2x=-4x+16

collect like-terms

2x+4x=16-10

6x=6

divide both by 6 to find the value of x

therefore, x is equal to 1

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Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the var
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Answer:

3X^{2} - 12X - 36 = 0

Step-by-step explanation:

6 and - 2 are the only two solutions to the required quadratic equation.

So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.

Therefore, the equation is  

(X - 6)(X + 2) = 0

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If the leading coefficient of the equation is 3 then we can write the equation as 3X^{2} - 12X - 36 = 0 (Answer)

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bearhunter [10]
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Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh          Use this equation to find the area of each triangular base

A = 1/2(8)(6)         Multiply

A = 1/2(48)           Multiply

A = 12cm²           Area of each triangular base

2) A = L x W        Use this equation to find the area of the bottom rectangular face

A = 20 x 8          Multiply

A = 160 cm²       Area of the bottom rectangular face

3) A = L x W        Use this equation to find the area of the back rectangular face

A = 20 x 6          Multiply

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4) A = L x W        Use this equation to find the area of the sloped rectangular face

A = 20 x 10         Multiply

A = 200 cm²      Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200       Add

A = 504 cm²       Total area of the triangular prism

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