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romanna [79]
4 years ago
7

How to solve : (s+t)^3 ​

Mathematics
2 answers:
Kay [80]4 years ago
6 0

Answer:

s^3+3s^2t+3st^2+t^3

Step-by-step explanation:

(s+t)^3\\\\\mathrm{Apply\:Perfect\:Cube\:Formula}:\\\quad \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\\\a=s,\:\:b=t\\=s^3+3s^2t+3st^2+t^3

DiKsa [7]4 years ago
4 0

Step-by-step explanation:

Hey there!

Here, given;

( {s + t)}^{3}

<u>Use</u><u> </u><u>formula</u><u>:</u><u> </u>

<u>( {a + b)}^{3}  =  {a}^{3}  + 3 {a}^{2}b + 3a {b}^{2}   +  {b}^{3}</u>

<u>Keep</u><u> </u><u>this</u><u> </u><u>formula</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>question</u><u>. </u>

<u>( {s + t)}^{ 3}  =  {s}^{3}  + 3 {s}^{2} t + 3s {t}^{2}  +  {t}^{3}</u>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Jessica is baking a cake. The recipe says that she has to mix 96 grams of sugar into the flour. Jessica knows that 1 cup of this
Rudik [331]
1 cup = 128 grams
X cups = 96 grams

Cross multiply
128X = 1*96
X=96/128 cups = 6/8 = 3/4 cups.

If she has already added 1/2 cups, then she needs to add (3/4-1/2)=1/4 cup more sugar.

Also please remind her to do the calculations before adding ingredients to avoid ruining a recipe.
7 0
4 years ago
Find the volume of the cylinder in terms of pi h = 6 in. and r = 3 in. A 54π in.3 B108π in.3 C324π in.3 D 27π in.3
Orlov [11]

Answer:

Option A. 54\pi\ in^{3}

Step-by-step explanation:

we know that

The volume of the cylinder is equal

V=\pi r^{2}h

where

r is the radius of the base of cylinder

h is the height of the cylinder

we have

r=3\ in

h=6\ in

substitute

V=\pi (3)^{2}(6)

V=54\pi\ in^{3}

3 0
3 years ago
Line w and line v are perpendicular to each other. Line w passes through the points ( -4,8 ) and ( 12,-2 ). What is the slope of
erik [133]

The slope of line "v" is \frac{8}{5}

<h3><u>Solution:</u></h3>

Given that Line w and line v are perpendicular to each other

Also given that line w passes through the points ( -4, 8 ) and ( 12, -2 )

To find: slope of line v

Since line w and line v are perpendicular to each other, product of slopes of line w and line v are equal to -1

\text {slope of line } w \times \text { slope of line } v=-1  ---- eqn 1

Let us first find slope of line w

<em><u>The slope "m" of a line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=-4 \text { and } x_{2}=12 \text { and } y_{1}=8 \text { and } y_{2}=-2

m=\frac{-2-8}{12-(-4)}=\frac{-10}{16}=\frac{-5}{8}

Thus the slope of line "w" is \frac{-5}{8}

Substituting the slope of w in eqn 1 we get,

\begin{array}{l}{\frac{-5}{8} \times \text { slope of line } v=-1} \\\\ {\text { slope of line } v=\frac{8}{-5} \times-1=\frac{8}{5}}\end{array}

Thus the slope of line "v" is \frac{8}{5}

5 0
3 years ago
The perimeter of an isosceles triangle is 168mm.The base is 18mm more than each of the legs. what is the length of the longest s
Lina20 [59]

Answer:

The length of the longest side is 68mm

Step-by-step explanation:

The perimeter of a triangle is equals to the sum of all its sides

P=a+b+c

The triangle is isosceles, so two of its sides are equal, have the same length.

So: a=b, then

P=2a+c=168mm

Moreover, we know that the base is 18mm more than each of the legs, this means: c=18mm+a, where we obtain that a=c-18mm.

So, the system of equations is solved, lets use the above result in Perimeter`s equation.

168mm=2*(c-18mm)+C

From here we have:

168mm=3c-36mm

We obtain the following result: c= 68mm, this the length of the longest side

8 0
4 years ago
Which quadratic function is shown in the graph?<br> A) f(x) = x2
ANTONII [103]

Answer: a I think

Step-by-step explanation:

5 0
3 years ago
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