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3 years ago

3x+6x+4=14x-6 what Is x?

Mathematics

1 answer:

kolezko [41]3 years ago

8 0

Your answer would be x=2

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Determine the equation of the line that has an x-intercept of 6 and passes through the point (6,4)

butalik [34]

Putting a = 6 and b= 3/2 in eqn. (1) the required equation is:-

x /6 + 2.y/3 = 1. or, x + 4y = 6. Answer.

5 0

2 years ago

Read 2 more answers

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Find the surface area of the regular pyramid. round to the nearest tenth if necessary.

Morgarella [4.7K]

the answer is a

hope this helps

3 0

3 years ago

A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se

kirill [66]

Answer:

The length of the longest section x = 36 ft

Step-by-step explanation:

Total length of the wire = 51 ft

Let first section of wire = x

Second section of wire = y

Third section of wire = z

According to given data

x = 3 y & y = 4 z

Total length of the wire = x + y + z = 51

$y + 3 y + \frac{y}{4} = 51$

$\frac{17}{4} y = 51$

y = 12

x = 3 × 12 = 36

$z = \frac{y}{4} = \frac{12}{4} = 3$

Therefore the length of the longest section x = 36 ft

8 0

3 years ago

Read 2 more answers

Cassandra has a rectangular patio in her backyard. the pation is 12.74 meters long and 5.45 meters wide. round the nearest tenth

Tom [10]

9514 1404 393

Answer:

36.4 m

Step-by-step explanation:

Rounded to tenths, the dimensions are ...

12.7 m by 5.5 m

The sum of these is 18.2 m, so the estimate of the perimeter is ...

2·18.2 = 36.4 m

_____

The perimeter formula is ...

P = 2(L +W) . . . . . twice the sum of length and width.

5 0

2 years ago