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2 years ago

2(x + 3) = x - 4 And 4(5x-2)=2(9x+3)

Mathematics

1 answer:

weqwewe [10]2 years ago

4 0

2x+6 - х -4

2x - x = - 4 - 6

x=-10

20x - 8 = 18x +6

20x - 18x = 6 +8

2x = 14

x=7

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

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6 0

3 months ago

9. The expression -8x? – 56x written in fully factored form is

Scorpion4ik [409]

Answer:

the answer is C

Step-by-step explanation:

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1 year ago

Joe has a savings account and a credit card. He has $422 saved in his savings account and has purchased $484 worth of merchandis

denis23 [38]

It will be negative because he has 422 but purchased 484 which is more than he has . so he is a negativge nuber because owns money

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2 years ago

what is -8x-9=-21, can someone work out the problem and show me what they did to get there answer so i can understand it?

SashulF [63]

- 8x - 9 = - 21

Add 9 to both sides:

- 8x = - 12

Divide both sides by - 8:

x = -12/-8

x = -3/-2

x = 3/2 OR 1.5

Hope this answer helps :)

6 0

3 years ago

Read 2 more answers

Here are five number cards. 2 5 7 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6.

Lubov Fominskaja [6]

Answer:

Card 7

Step-by-step explanation:

2+5+7+8+9 =31

Multiples of 6: 6, 12, 18, 24, 30

31-9=22, No

31-8=23, No

31-5=26, No

31-2=29, No

31-7=24, Yes

The only way to get a multiple of 6 is to subtract card 7, so card 7 is the answer.

7 0

2 years ago

2(x + 3) = x - 4 And 4(5x-2)=2(9x+3)​

2(x + 3) = x - 4 And 4(5x-2)=2(9x+3)