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lawyer [7]
3 years ago
7

X(x-3)=x then the possible value of X are...​

Mathematics
2 answers:
Nesterboy [21]3 years ago
3 0

x(x-3)=x\\x^2-3x-x=0\\x^2-4x=0\\x(x-4)=0\\x=0\vee x=4

KonstantinChe [14]3 years ago
3 0

\text{Hey there!}

\text{In order for you can do the distributive property then work from there}

\text{x(x - 4) = x}\\\\\text{x(x)=x}^2\\\\\text{x(-3)= -3x}

\text{Subtract by the value of x on your sides!}

\text{Your new equation becomes: x}^2\text{- 3x = x}

\text{Like}\downarrow

\text{x}^2\text{- 3x - x = x - x}

\text{x - x = 0 }

\text{-3x + (-1x) = -4x}

\text{Our equation becomes: x}^2\text{- 4x = 0}

\text{Next, we have to FACTOR on the LEFT side of your equation}

\text{x(x - 4) = 0}

\text{Set the numbers to FACTOR out to 0}

\text{Like: x = 0 or x - 4 = 0}\text{ (solve that and you SHOULD have the x-values)}

\boxed{\boxed{\bf{Answer: x = 0\ or \ x =4}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirt:)}

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In this diagram, ABAC – AEDF. If the<br> area of ABAC = 6 in?, what is the<br> area of AEDF?
shepuryov [24]

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

3 0
3 years ago
I don’t bought a new jacket at 75% off it’s original price was $80 and the sales tax is 15% what is the total cost
Vika [28.1K]

Answer:

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5 0
3 years ago
Given the function f(x) = 6x^2 −13, what is f(-3)?
Naya [18.7K]
<h3>Answer: 41</h3>

Work Shown:

f(x) = 6x^2 - 13

f(x) = 6(x)^2 - 13

f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify

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7 0
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