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inysia [295]
3 years ago
8

Factorise

" class="latex-formula">
and pls explain why 2t(t+2) becomes (2t+1) when you get to it in your working out ty
Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:    \displaystyle\ \large \boldsymbol{  2t^2+5t+2= {(2t+1) (t+2)}}

Step-by-step explanation:

\displaystyle\ \large \boldsymbol{}  2t^2+5t+2=0  \\\\2t^2+\underbrace{4t+t}_{5t}+2=0  \\\\ (2t^2+4t)+(t+2)=0 \\\\ 2t(\underline{t+2})+(\underline{t+2})=0 \\\\ \boxed{(2t+1) (t+2)=0 }

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Application : Mr. Smiley wants to have a sale to draw people into the store when customer traffic is low . When would be the bes
Ainat [17]

Answer:

The best time for him to have it is;

4\text{ PM - 6 PM}

Explanation:

Given that Mr. Smiley wants to have a sale to draw people into the store when customer traffic is low.

The period when sales are lowest on the graph is;

4\text{ PM - 6 PM}

The best time for him to have the sales to draw people to the store is the period when traffic is at its lowest.

So, the best time for him to have it is;

4\text{ PM - 6 PM}

6 0
1 year ago
Find the height of a tree of angle of elevation of its top changes from 25 degree to 50 degree as the observer advance 15m towar
Natali5045456 [20]

Answer:

  11.5 m

Step-by-step explanation:

The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...

  Tan = Opposite/Adjacent

The lengths of the adjacent sides of the triangle can be found by rearranging this formula:

  Adjacent = Opposite/Tan

__

The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:

  h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle

  h(1/tan(25°) -1/tan(50°)) = 15

  h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)

  h ≈ 11.4907 . . . . meters

The height of the tree is about 11.5 meters.

7 0
3 years ago
Can someone plz help me solve this problem I need help plz someone help me!
cestrela7 [59]

Answer:   25 < P < 36

              15/4 < w < 26/4

              35/4 < L < 46/4

<u>Step-by-step explanation:</u>

Perimeter is BETWEEN 25 and 36

           25 <    P    < 36

Graph:  O--------------O

            25              36

Perimeter = 2L + 2w  ; substitute L = w + 5        

             25 < 2(w + 5) + 2w < 36

             25 < 2w + 10  + 2w < 36

              25 <  4w + 10          < 36

               15 <           4w         < 26

               \dfrac{15}{4} <             w         < \dfrac{26}{4}

              3\dfrac{3}{4}  <              w        <  6\dfrac{1}{2}

Graph:     O------------------------O

              3\dfrac{3}{4}                             6\dfrac{1}{2}

Perimeter = 2L + 2w  ; L = w + 5   --> w = L - 5      

             25 < 2L + 2(L - 5)  < 36

             25 < 2L + 2L  - 10 < 36

              25 <  4L - 10        < 36

              35 <           4L      < 46

              \dfrac{35}{4} <             L       < \dfrac{46}{4}

              8\dfrac{3}{4}  <            L      <  11\dfrac{1}{2}

Graph:     O------------------------O

               8\dfrac{3}{4}                          11\dfrac{1}{2}

Note: Make sure you use OPEN dots when graphing.

5 0
4 years ago
Find the missing angle.<br> (PLEASEEE HURRYYY)
barxatty [35]

Answer:

B

Step-by-step explanation:

360 - (100+91+95) = 74

Because angles in a quadrilateral add upto 360 degrees

7 0
3 years ago
If 5(p + 3) = 18 + 2p, what is the value of p?
Rina8888 [55]

Answer:

p=1

Step-by-step explanation:

5(p+3)=18+2p

5p+15=18+2p

5p-2p=18-15

3p=3

p=<u>3</u>

3

p=1

5 0
3 years ago
Read 2 more answers
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