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Masja [62]
4 years ago
6

Solution set of 3x - ( 2x + 8 )= -6

Mathematics
1 answer:
Hunter-Best [27]4 years ago
6 0
3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2
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Simplify the following expression. cot^2x secx-cosx
Solnce55 [7]

ANSWER

\cos(x)   \cot ^{2} (x)

EXPLANATION

The given expression is;

\cot^{2} (x)  \sec(x)  -  \cos(x)

Change everything to

\sin(x)

and

\cos(x)

This implies that,

\frac{ \cos^{2} (x) }{ \sin^{2} (x) }  \times ( \frac{1}{ \cos(x) } )-  \cos(x)

Cancel the common factors,

\frac{ \cos(x) }{ \sin^{2} (x) }  \times ( \frac{1}{1} )-  \cos(x)

\frac{ \cos(x) }{ \sin^{2} (x) }-  \cos(x)

\frac{ \cos(x)  -  \sin ^{2} (x)  \cos(x) }{ \sin^{2} (x) }

= \frac{ \cos(x)(1  -  \sin ^{2} (x) ) }{ \sin^{2} (x) }

= \frac{ \cos(x)(\cos^{2} (x) ) }{ \sin^{2} (x) }

= \cos(x)  \cot^{2} (x)

6 0
3 years ago
Find the volume of this cylinder. 9cm 20cm<br> a 29cm<br> b 38cm<br> c 180cm<br> d 1620cm
mr_godi [17]

Step-by-step explanation:

v=Ah

A=9×12

= 108

then, v=108×8

6 0
3 years ago
Agnes has $1,000 and she wants to have $1,100 accrued after 5 years. what rate does she need to have to meet her goal?
Yuliya22 [10]

Answer:

the formula to use is R = 100I/ PT

Step-by-step explanation:

R = rate, I = interest = $1100, P = $ 1000, T= 5years

8 0
2 years ago
From a standard deck of playing card, a card is selected from random. what is the probabilty that the card selected is a black c
Alja [10]
A deck has 52 cards
A deck has 25 black cards.
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P(black or 4) = (25 + 2) / 52 = 27/52
3 0
4 years ago
If the value of y varies directly with x and y=-1 when x=3, find y if x=9
steposvetlana [31]

1.If y varies directly with x

Introduce the constant term k

2.y=kx

where k is the constant term

substitute the value of x and y to form the law

-1=3k

k=-1\3

:y=-1\3x....is the law

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Reinstate the law which is y=-1\3x and substitute the value of x to find y

y=-1\3*9

y=-3

4 0
3 years ago
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