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Softa [21]
3 years ago
8

What is the value of 5/zwhen z=2

Mathematics
1 answer:
AveGali [126]3 years ago
7 0

Step-by-step explanation:

When

z = 2

Then

5/z

= 5 / 2

= 2.5

Hope it will help :)

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Let t = cosA + sinA<br> find values of t if <br> 2 - sin2A = 2(cosA + sinA)
Zinaida [17]

2 - \sin(2A) = 2(\cos A + \sin A)\\\\2-2\sin A\cos A=2\cos A+2\sin A\\\\2\sin A\cos A+2\cos A+2\sin A-2=0\\\\1+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\\sin^2 A+\cos^2 A+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2(\cos A+\sin A)-3=0\\\\\\t^2+2t-3=0\\\\t^2+2t+1-4=0\\\\(t+1)^2=4\\\\t+1=2\qquad\vee \qquad t+1=-2\\\\\\\boxed{t=1\qquad\vee\qquad t=-3}

When A\in\mathbb{R}

t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]

and there is only one answer t = 1.

For A\in\mathbb{C} both values are correct.

4 0
4 years ago
I need help with this please I’ve done this question so many times and I keep on getting false answers
Mkey [24]

Answer:

a=-1 b=3 h=-4 k=5. Hope this helps.

Step-by-step explanation:

We need to find transformations from f(x) to g(x).

K is formula usually means vertical shift. Vertical shift are usually at right end of formula. f(x) has a vertical shift of zero, while g(x) vertical shift is 5. So our k is 5.

h represent our horizontal shift in a equation.

Our horizontal shift is opposite of the sign given.

F(x) has no hoeinzontal shift, while g(x) has x+4.

Set x+4=0

x + 4 = 0

x  =  - 4

so our h is -4.

B represent our horizontal compression or stretch.

Our horizontal compression/stretch is reciprocal of our b given.

f(x) has no compression or stretch, while g(x) has 1/3x.

Set 1/3x to one.

\frac{1}{3} x = 1

x = 3

so our b is 3.

A represents the vertical compression/ stretch. F(x) doesnt have one but G(x) does.

Since it has just a negative sign in front of it, the compression is -1 so a=-1

8 0
3 years ago
Jordan is 4 feet 8 inches tall. Her mom is 5 feet 10 inches tall. How much taller is Jordan's mother than Jordan? Give your answ
Anastaziya [24]

Answer:

1 ft 2 in

Step-by-step explanation:

Subtract each foot and each inch

6 0
3 years ago
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The sum of 4 times a number and 9 is equal to 8. Use the variable b for the unknown number.
Alexxandr [17]
Answers
4b+9=8
This is the required statement
8 0
2 years ago
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Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for t
Anit [1.1K]

Answer:

Direction is missing

Step-by-step explanation:

Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. We know that velocity is a vector quantity. It has both magnitude as well as direction. Velocity is defined as the total distance per unit time I.e.  

                 i.e. the magnitude of velocity is 4.3 m/s  

Here, only velocity is given but its direction is missing. So, the missing information is " the direction ".    

5 0
4 years ago
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