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Artist 52 [7]
3 years ago
11

(3b-5)^2-c^2 how do I factor this using grouping?

Mathematics
1 answer:
klemol [59]3 years ago
3 0
So you see it is the difference of 2 perfect squares
a^2-b^2=(a+b)(a-b)
so
(3b-5)^2-c^2=(3b-5+c)(3b-5-c)
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1. A man purchased a TV set at Rs 4000 and sold it for Rs 2500. Find his loss per cent.
DochEvi [55]

Answer:

1: 37.5%

2: C.p= 12×25= 300

  S.p= 12×28= 336

profit%=336-300×100/300=12% ansr..

3: Therefore, Mr. Arsalan sold the plot at Rs 129600.

Step-by-step explanation:

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5 0
3 years ago
Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.
Dmitry_Shevchenko [17]

Answer:

we know that

[the lateral area of a right circular cone]=pi*r*l

where

r--------------> the radius of the circle part of the cone

l--------------> the side (slant height) of the cone

r=6 ft

h=8 ft

Step 1

find the slant height of the cone

which is determined by using Pythagoras, since the cross section is a right triangle.

l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft

Step 2

find the lateral area

[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²

the answer is 188.4 ft²

7 0
3 years ago
80 decreased by 3 times a number is the same as 5 times the number increased by 8 find the number.
faltersainse [42]

Answer:

The number is 5.

Step-by-step explanation:

Let the number be $ x $.

Given $ 80 $ is decreased $ 3 $ times $ x $.

$ \implies 80 - 3x $

$ 5 $ times the number increased by $ 8 $.

$ 5(x + 8) $

This means:

$ 8 - 3x = 5(x + 8) $

$ \implies 8x = 40 $

$ \implies x = 5 $

4 0
3 years ago
Write an inequality for the graph.
shusha [124]

Answer:

D

Step-by-step explanation:

The boundary line for the inequality is translated 5 units to the right and 5 units up graph of the function y=|x|. This translation gives you the function y=|x-5|+5.

This boundary line is solid, then the inequality should  contain notion "or equal to" (the sign of inequality should be ≤ or ≥).

You can see that the origin belongs to the sgaded region, then its coordinates satisfy the inequality. Since 0≤|0-5|+5  (0≤10), then correct choice is D.

7 0
3 years ago
Diagramming Percents
vekshin1

Answer:

see below

Step-by-step explanation:

Let x be the original price

x* discount rate = discount

x * 60% = 30

Change to decimal form

x * .60 = 30

Divide each side by .60

x = 30/.60

x =50

The original price was 50 dollars

3 0
4 years ago
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