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3 years ago

Please help me I am its in the pic

Mathematics

1 answer:

tiny-mole [99]3 years ago

6 0

Answers:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h = -4

5. h - g = 10

6. g - h = -10

Step-by-step explanation:

1. -7 x 3 = -21

2. -7^2 = - 49

-49 + 3 = -46

3. 3^2 = 9

-7 + 9 = 2

4. -7 + 3 = -4

5. 3 - -7 = 3 + 7 = 10

6. -7 - 3 = -10

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Help please please $)

mart [117]

<h3>Look at the picture.</h3>

commutative property a + b = b + a

... (-5 + 1/2 + 5) = ... (-5 + 5 + 1/2)

inverse property of addition a + (-a) = a - a = 0

... (-5 + 5 + 1/2) = ... (0 + 1/2)

identity property of addition a + 0 = 0 + a = a

... (0 + 1/2) = ... 1/2

inverse property of multiplication a/b · b/a = 1

37 · 2 · 1/2 = 37 · 2/1 · 1/2 = 37 · 1

identity property of multiplication a · 1 = 1 · a = a

37 · 1 = 37

6 0

3 years ago

the amusement park charges $20 to get in plus $1.50 per ride which linear equation represents this relationship y=1.5+20x,y=21.5

Radda [10]

Step-by-step explanation:

1.50 per ride tones X number of rides plus a 20 entrance fee

y= 1.5x + 20

6 0

3 years ago

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

IceJOKER [234]

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

Step-by-step explanation:

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

What is the perimeter of the rectangle with a length of 23 and a width of 16?

motikmotik

23+23+16+16=78
78 is the perimeter:)

7 0

3 years ago

A simple model of the core of a tornado is a right circular cylinder that rotates about its axis. If a tornado has a core diamet

mihalych1998 [28]

Answer:

26.3 rev/min

Step-by-step explanation:

The angular velocity (ω) is the linear velocity divided by the radius ( r= 80 feet)

ω = 220/80 = 2.75 rad/s

The angular velocity and the frequency are related by:

ω = 2π*f

2.75 = 6.28*f

f = 2.75/6.28

f = 0.438 rev/s * 60s/1min

f = 26.3 rev/min

7 0

3 years ago