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3 years ago

Which statement is true about the equation 3/4 z - 1/4 z + 1 = 2/4 z + 1?

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Answer:

D, infinitely many solutions

Step-by-step explanation:

Let's first simplify the left side:

3/4 z - 1/4 z + 1 = 2/4 z + 1

Clearly, once you simplify the left side, it's the exact same as the right side. This is a true equation: 2/4 z + 1 = 2/4 z + 1

For any value that you put in for z, it will always be equal, no matter what.

Thus, the equation has D, infinitely many solutions.

Hope this helps!

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I need help with this problem

Arada [10]

Answer:

65.56°

Step-by-step explanation:

We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them

That is let p and q be any two vectors and A be the angle between them

So, p·q=|p|*|q|*cosA

⇒ $cosA=\frac{u.v}{|u||v|}$

Given u=-8i-3j and v=-8i+8j

$|u|=\sqrt{(-8)^{2}+ (-3)^{2}} =8.544$

$|v|=\sqrt{(-8)^{2}+ (8)^{2}} =11.3137$

let A be angle before u and v

therefore, $cosA=\frac{u.v}{|u||v|}=\frac{(-8)*(-8)+(-3)*(8)}{8.544*11.3137} =\frac{40}{96.664}$

⇒ $A=arccos(\frac{40}{96.664} )=arccos(0.4138 )=65.56$

Therefore angle between u and v is 65.56°

5 0

3 years ago

What is the <br> The product of -2 and a number minus six is greater than -18.

Fed [463]

Answer: x>-6

Explanation: -2x -6>-18
-2x >-12
-x>6
X>-6

6 0

3 years ago

10. Use the properties of exponents to simplify the expression:

aivan3 [116]

<h3><u>Answer</u> :</h3>

$\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}$

Let's solve !

$:\implies\sf\:25^{\frac{3}{2}}$

$:\implies\sf\:(\sqrt[2]{25})^3$

$:\implies\sf\:5^3$

$:\implies\boxed{\bf{\red{125}}}$

<u>Hence, Oprion-D is correct</u> !

7 0

3 years ago

Simplify<br>(a + 2b +30) - (40+36-5a)

Crazy boy [7]

Step-by-step explanation:

(a+2b+30)-(40+36-5a)
a+2b+30-40-36+5a
6a+2b-46

hope it helps.

3 0

3 years ago

What is 44/154 simplified to

svlad2 [7]

Answer: 2/7

Both 44 and 154 have the greatest common factor of 22.

44/22 = 2

154/22 = 7

5 0

3 years ago

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