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3 years ago

Please show me what formula to use to solve equation x2-6x=13

Mathematics

1 answer:

makvit [3.9K]3 years ago

3 0

X^2-6x=13
(x-3)^2-9=13
(x-3)^2=22
(x-3)= +-sqrt22
x = sqrt22+3 or x = -sqrt22+3

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How many equilateral triangles with sides of 4 can fit into a larger triangle with sides of 2012

igomit [66]

The base measures 2012 if you divide that by four you get 503 trianles on the bottom and on the sides and each one gets one smaller until you get to one so 503+502+501,.... or 252+251(504) so the answer is 126,756 triangles in total because 1+503=504 2+502=504... when you get to 252 you just add that to itself so that is the odd one out

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2 years ago

How do you factor 125-x^3?

xz_007 [3.2K]

Step-by-step explanation:

We have

$125 - x {}^{3}$

First, 125 is a perfect cube because

$5 \times 5 \times 5 = 125$

and

x^3 is a perfect cube because

$x \times x \times x = x {}^{3}$

so we can use the difference of cubes identity

$( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )$

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

$64 - 27$

we know that

$64 - 27 = 37$

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

$(4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )$

$1(16 + 12 + 9) = 1(37) = 37$

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

$(5 - x)( {5}^{2} + 5x + {x}^{2} ) =$

$(5 - x)(25 + 5x + {x}^{2} )$

3 0

2 years ago

Read 2 more answers

99 points

Scrat [10]

$l \ equal \ 3m \\\\ therefore, 6 *L^2=6*3^2 = (6*9)$

$((6*9)) = 54m^2$

<span>27 m²
30 m²
36 m²
54 m²</span>

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3 years ago

Read 2 more answers

Greg has 2 bags with 7 marbles in each bag Sarah has 10 bags with marbles in each bag how many more marbles does Sarah have

Troyanec [42]

56, because you times 7 by 2 because Greg has 2 then you times 7 by 10 because then you get the answers 14 and 70 and take them away from each other

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2 years ago

HELP GIVING FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWERS!!!

Yuki888 [10]

Rule: lines that are parallel have equal gradients.

Therefore y=-4/3x + b.

To find b, you must sub the point (6,2) into the equation y=-4/3x + b.

2= -4/3 x 6 + b
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Therefore y=-4/3x - 10.

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2 years ago