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hammer [34]
3 years ago
14

Of the following points, name all that lie on the same vertical line?

Mathematics
2 answers:
Masteriza [31]3 years ago
4 0

Answer:

(-2,-6) (6,2)

Step-by-step explanation:

andriy [413]3 years ago
4 0
The other guys right bro
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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 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 equationcosxtanx - 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
Triangle ABC has coordinates of A(–8, –8), B(4, –2), and C(2, 2). Find the coordinates of its image after a dilation centered at
kherson [118]
The answer is (C) because you multiply each point by 1.5.
7 0
3 years ago
Read 2 more answers
Need solved fast! I can’t do it!!
sergeinik [125]

Answer:

<u>Please read below.</u>

Step-by-step explanation:

The instructions were followed, horizontal or vertical path and never diagonal:

75 76 81 66 65 14 13 8 7

74 77 80 67 64 15 12 9 6

73 78 79 68 63 16 11 10 5

72 71 70 69 62 17 2 3 4

55 56 57 58 61 18 1 22 23

54 53 52 59 60 19 20 21 24

45 46 51 50 37 36 31 30 25

44 47 48 49 38 35 32 29 26

43 42 41 40 39 34 33 28 27

6 0
3 years ago
A car uses 8 gallons of gasoline to travel 192 miles. How many gallons are used to go 144 miles? *
antiseptic1488 [7]

Answer:

6 gallons

Step-by-step explanation:

You can find this using the ration method.

If, 8 gallons : 192 miles

   x gallons : 144 miles

We must find the value of x, which is the number of gallons used to travel 144 miles.

Cross multiply the ratios.

192 x = 8 × 144

192 x = 1152

x = 1152 ÷ 192

x = 6

∴ It takes 6 gallons to travel 144 miles.

8 0
3 years ago
Solve the following inequality. -21&gt; -7c
BigorU [14]
Divide both sides by -7, and flip the sign: 3 > c
6 0
3 years ago
Read 2 more answers
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