All categories

3 years ago

Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

3 0

Answer:

3x + 6 = 12; Distributive Property

Step-by-step explanation:

3(x + 2) = 12

The next step is:

3*x + 3*2 = 12
3x + 6 = 12

This is a distributive property

Correct choice is A

You might be interested in

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

3 years ago

If two circles intersect, do they only intersect at only one point?

prisoha [69]

Itś basically the same thing as a compare and contrast circle graph when they intersect with eachother

8 0

3 years ago

Read 2 more answers

20 POINTS!!! PLEASE HELP!!!

alex41 [277]

Answer:

Option 2

Step-by-step explanation:

It's a rotation

7 0

3 years ago

Read 2 more answers

The volume of a sphere is 972(pi)ft3.

pav-90 [236]

Here are some simple equations that can be a life saver with this stuff :

vol of a sphere =

$v = \frac{3}{4} \pi \: {r}^{3}$

Circumference =

$2 \times \pi \times r$

sorry this might not be very helpful. I haven't don't this since last year. You basically have to work backwards. so plug in 972 for V and then do (3/4)×3.14.

then take the answer u got for ^^ and divide it by 2? not sure.

7 0

3 years ago

What is the volume of the cuboid (the box) in this figure? (no need to enter the units)

poizon [28]

Answer:

220 cm

Step-by-step explanation:

Multiply length x width x height

22 x 5 x 2

110 x 2

220 cm

6 0

3 years ago