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Sliva [168]
3 years ago
9

if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

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

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

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

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4 0
3 years ago
two triangles have the same heights one triangle has a base that is four times the base of the other triangle are the bases and
OlgaM077 [116]

Answer:

Yes

Step-by-step explanation:

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The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

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Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

5 0
2 years ago
Can anyone help me in Ptolemy's theorem?
GalinKa [24]

Answer:

Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.

8 0
3 years ago
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Leya [2.2K]
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3 years ago
Translate the equation using a variable.<br> "Nineteen less than one-half of a number is -13."
Illusion [34]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
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