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babunello [35]
3 years ago
12

Find a thrid degree polynomial equation with rational coeffcients that has roots -4 and 6 +i

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
For the coefficients to be rational, any complex roots must occur in conjugate pairs. So if 6+i is a root, then so must be 6-i.

Now such a third degree polynomial might be

(x+4)(x-(6+i))(x-(6-i))=(x+4)(x^2-12x+37)=x^3-8x^2-11x+148

The only variation to this would be multiplying throughout by some non-zero constant. This doesn't change the roots.
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What’s the answer ??? ( someone please help )
Fofino [41]
It would probably be B because it said between -30 and 130
3 0
3 years ago
3(2x + 6) = 2(4x – 5)
maxonik [38]

Answer:

x = 14

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6 0
3 years ago
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

x^{2} = 6^{2} + 5^{2}

x^{2} = 36 + 25

   = 61

x = \sqrt{61}

  = 7.81

let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

  = \sqrt{61} + 64

l  = \sqrt{\sqrt{61} + 64 }

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

6 0
3 years ago
Help Plzzz i cant find the answer
Kryger [21]
To solve this, you need to know slope-intercept form;  
y=mx+b  
Where mx is the slope and b is the y-intercept form.  
Now, looking at the values you have been provided, you can just plug them into the formula.  
y= \frac{2}{3}x -2  

6 0
3 years ago
The length of a rectangular floor is 2 feet more than the width. The area of the floor is 168 square feet. Kim wants to use a ru
defon
The area of the rectangular is expressed in the formula A = l*w where l is the length and w is the width. from the first satement, l = 2  + w; then A = (2+w)*w = 2w + w^2. If A is equal to 168, then w should be equal to 12 feet and l is equal to 14 feet. Hence the width due to the border limits is 12- 2*2 equal to 8 feet
4 0
3 years ago
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