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3 years ago

-k - (-8k)!!! Hdisidjdidjdkdkdjenenenen

Mathematics

2 answers:

aliina [53]3 years ago

5 0

Answer:

Step-by-step explanation:

-k - -(8k): the - sign cancels out the - in 8k so it would only leave -k+8k=7k

marishachu [46]3 years ago

5 0

Answer:

Step-by-step explanation:

-k - (-8k)

if there is "-" in front on an inner form, change the sign of each quarter to the form.

-k + 8k

Simplify similar tribes with add or subtract.

= 7k

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Photos-To-Go printed 2,102 copies of a brochure for a travel agency. The brochure included 5 photos of popular vacation destinat

BigorU [14]

Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

$Copies = 2102$

$Photos =5$

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

8 0

3 years ago

Are the lines y=7x+15 and y=7x+4 perpendicular, parallel, and explain.

dsp73

Answer:

The lines would be parallel because their slopes are the same and their y-intercepts are different.

Step-by-step explanation:

First, start with the two equations:

y = 7x + 15

y = 7x + 4

So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.

In this case, the lines are in slope-intercept form:

y = mx + b

so the slope is already given.

Slope of line 1 = 7x

Slope of line 2 = 7x

Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.

8 0

3 years ago

The quotient of four and a number increased by 23.

borishaifa [10]

Answer:

Step-by-step explanation:

4/(x+23)

4 0

3 years ago

SOMEONE HELP ME PLEASEEE

nadya68 [22]

Answer:

A) X≥4

B) Can't see question

C)x<8

D) x>40

E)x≥5

F) Can't see question

G)x ≥43

H) x ≤75

Step-by-step explanation:

4 0

2 years ago