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3 years ago

Expand and simplify. (3x+1)(2x+4)

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

First (3x*2x)+(3x*4)+(1*2x)+(1*4)
(6x^2)+(12x)+(2x)+(4)
6x^2+14x+4 (devide by 2)
3x^2 +7x +2

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A person who is 5 feet tall is standing 108 feet from the base of a tree, and the tree casts a 120 foot shadow. The persons shad

svetoff [14.1K]

Answer:

Height of the tree is 50 ft.

Step-by-step explanation:

AB/DE =BC/EC

ratio is x/5 = 120/12

x/5 = 10

x=50

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3 years ago

A system of equations is shown. y = 2x - 7 y = -x + 5 What is the solution to the system of equations? Please Show your work

elixir [45]

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3 years ago

Could anyone find the length of side x

Alina [70]

Answer:

x = 2.4

Step-by-step explanation:

For this equation, you need to use trigonometry. we only need to use one of the two angles given and for this example i'm going to use the 60° angle. as we know the adjacent side and want to know the opposite side, we need to use the trig ratio tan $(\frac{opp}{adj})$ in this case, we will replace the adjacent side with

the square root of 2.

= $\frac{x}{\sqrt{2} }$

as the side we know is on the bottom of the ratio, we need to multiply it by the ratio (tan) then the angle (in case you don't know, * means multiply)

$\sqrt{2} * tan(60) = 2.44948...$ round to 1 decimal place

x = 2.4

Hope this was helpful :-)

I'm sorry if this was confusing, trigonometry is very hard to explain.

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3 years ago

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3 years ago

Read 2 more answers

A VCR and TV were bought for 78.000 each. The shopkeeper made

Zielflug [23.3K]

Answer:

Profit % is 1.94% .

Step-by-step explanation:

The CP of both VCR and TV were same that is Rs 78,000 . So ,

$=> CP \ of \ the \ buyer \ = \ Rs78,000 \times 2 = Rs 156,000$

As per Question , on one he made a loss of 4% and profit of 8% on the other .

And , the net SP would be ,

$=> Total \ SP \ = \ \dfrac{96}{100}\times Rs 78,000 + \dfrac{108}{100}\times Rs 78,000 \\\\=> Total\ SP = Rs 74,800 + Rs 84240 \\\\\boxed{\red{\bf => Total \ SP= Rs 159,040 }}$

So , here clearly SP > CP . So , there's a profit .Hence profit % would be :-

$=> Profit \% = \dfrac{ SP - CP }{CP}\times 100 \\\\=> Profit \% = \dfrac{Rs 159,040-Rs156,000}{Rs156,000}\times 100 \\\\=> Profit\% = \dfrac{3040}{156000}\times 100 \\\\\underline{\blue{\bf => Profit\% = 1.94 \% }}$

7 0

3 years ago

Expand and simplify. (3x+1)(2x+4)​

Expand and simplify. (3x+1)(2x+4)