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4 years ago

Given : 11x – 6y = –1; x = 8

Mathematics

1 answer:

Natasha_Volkova [10]4 years ago

7 0

Answer:

B. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality

Step-by-step explanation:

Given expression,

$11x - 6y = -1; x = 8$

By substituting x = 8,

$11(8) - 6y = -1$

$88 - 6y =-1$

By subtraction property of equality,

$-6y = -89$

Division property of equality,

$y = \frac{89}{6}$

By symmetric property of equality,

$\frac{89}{6} = y$

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-3/4 n + 1/8 n=1/2<br><br>PLEASE SHOW WORK

Nesterboy [21]

Answer:

n = -4/5

Step-by-step explanation:

-3/4 n + 1/8 n= 1/2

use the rules of signs for multiplication

-3/4 n + 1/8 n= 1/2

multiply both sides 8

-6n + n = 4

collect like terms

-5n = 4

divide both sides by -5

n=-4/5

or alternative form

n=-0.8

3 0

3 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0

2 years ago

if (2x minus 1) is exactly divisible by 6 X square + ax - 4 and b x square - 11x + 3, then the value of b square minus a square

alexdok [17]

Step-by-step explanation:

Given that:-

$(2x - 1)$