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KengaRu [80]
3 years ago
6

Which of the following is the correct expansion of (3x-y)2

Mathematics
1 answer:
GREYUIT [131]3 years ago
4 0
6x-2y (I believe so)
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Write the product in the simplest form 3x1/6
igomit [66]

Answer:

1/2

Step-by-step explanation:

3 * 1/6 = 3/6

Which can simplify to 1/2 if you divide the top and bottom by 2.

7 0
3 years ago
Ben made a model (shown below) of the square pyramid he plans to build when he grows up.
elena-s [515]

Answer:

336 m^2

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

A=A_b + 4A_t

where:

A_b=L^2 is the area of the base, where

L is the length of the base

A_t=\frac{1}{2}Lh is the area of each triangular face, where

h is the height of the face

Substituting,

A=L^2+2Lh

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

A=12^2 +2(12)(8)=336

4 0
3 years ago
Read 2 more answers
a pile of sand has a weight of 90kg The sand is put into a small bag, a medium bag and a large bag in the ratio of 2 : 3 : 7 Wor
just olya [345]
Hi there!

To split 90 kilos in the ratio of 2 : 3 : 7 we must first realise that we have a total of 2 + 3 + 7 = 12 parts, in which we must split the total 90 kilos.

12 parts equal 90 kilo, and therefore
1 part equals 90 / 12 = 7.5 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
2 parts equal 7.5 × 2 = 15 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
3 parts equal 7.5 × 3 = 22.5 kilos.

1 part equals 90 / 12 = 7.5 kilos, and therefore
7 parts equal 7.5 × 7 = 52.5 kilos.

Hence, 90 kilos in the ratio of 2 : 3 : 7
gives 15 kg, 22.5 kg and 52.5 kg.

~ Hope this helps you!
3 0
4 years ago
A student performed the following steps to find the solution to the equation
rusak2 [61]

Answer:

D

Step-by-step explanation:

step 2 : x + 3 = 0 and x - 5 = 0 ← correct

step 3

x = 3 and x = - 5 ← error made here with signs, correct statement should be

x + 3 = 0 ⇒ x = - 3

x - 5 = 0 ⇒ x = 5

3 0
1 year ago
X<br> Find the value<br> of x. Show<br> 3<br> 10<br> your work.
pickupchik [31]

Step-by-step explanation:

<em>Hello</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em>

<em>Let</em><em> </em><em>ABC</em><em> </em><em>be</em><em> </em><em>a Right angled triangle</em><em>, </em>

<em>where</em><em>,</em><em> </em><em>AB</em><em> </em><em>=</em><em> </em><em>3</em>

<em>BC</em><em>=</em><em> </em><em>1</em><em>0</em>

<em>and</em><em> </em><em>AC</em><em>=</em><em> </em><em>x</em>

<em>now</em><em>,</em>

<em>As</em><em> </em><em>the</em><em> </em><em>triangle</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>Right angled triangle</em><em>, </em><em>taking</em><em> </em><em>angle C</em><em> </em><em>as</em><em>refrence</em><em> </em><em>angle</em><em>.</em><em> </em><em>we</em><em> </em><em>get</em><em>,</em>

<em> </em><em>h</em><em>=</em><em> </em><em>AC</em><em> </em><em>=</em><em> </em><em>x</em>

<em>p</em><em>=</em><em> </em><em>AB</em><em> </em><em>=</em><em> </em><em>3</em>

<em>b</em><em>=</em><em> </em><em>BC</em><em>=</em><em> </em><em>1</em><em>0</em>

<em>now</em><em>,</em><em> </em><em>by</em><em> </em><em>Pythagoras</em><em> </em><em>relation we get</em><em>, </em>

<em>h =    \sqrt{ {p}^{2} +  {b}^{2}  }</em>

<em>or ,\: h =  \sqrt{ {3}^{2}  +  {10}^{2} }</em>

<em>by</em><em> </em><em>simplifying it we get</em><em>, </em>

<em>h</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>.</em><em>4</em><em>4</em><em>0</em><em>3</em><em>0</em>

<em>Therefore</em><em>, </em><em> </em><em>the</em><em> </em><em>answer is</em><em> </em><em>x</em><em>=</em><em> </em><em>1</em><em>0</em><em>.</em>

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

7 0
3 years ago
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