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3 years ago

Is the expression 3(x+2) equivalent to 3x+6

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

7 0

3x+6=
_. _
3. 3
x=2
hope this helps

Delvig [45]3 years ago

6 0

Yes...

 3(x+2)...using distributive property...

= 3x + 6

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4 years ago

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Find the value of x³+ y³ + z³ – 3xyz if x² + y² + z² = 83 and x + y + z = 15

raketka [301]

identity used is

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

then use

(x+y+z)² = x²+y²+z²+2(xy+yz+xz)

225= 83 + 2(xy+yz+xz)

xy+yz+xz = (225-83)/2

xy+yz+xz= 142/2

xy+yz+xz= 71

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x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

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x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).

= 15[83 - (71)]

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3 years ago

Rewrite the form In exponential form: Log100 = x

andrey2020 [161]

Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .

(If we wanted to, we could also solve this: $10^2=100$ , so $\log100=2$ )

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3 years ago

What two formulas are necessary to find the area of a segment of a circle? i will name brainliest!!!!!!!

NeTakaya

The necessary formulas to get the area of a circle’s segment are the area of the circle’s sector and the triangle it is bounded by.

Hence the formula for the segment’s area is:Area of Segment = Area of sector – area of the triangle.

The formula of the area of a circle’s sector is:Area of Sector = $\frac{central-angle}{2}$ x (radius of circle)²

While the formula for the area of a triangle is:Area of Triangle = $\frac{1}{2}$ x base of triangle x height of triangle

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4 years ago

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