All categories

3 years ago

The reciprocal of (x-y) is z . If z = 11 , y = -3 then what is the value of x

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:

x=-32/11

Step-by-step explanation:

Let's solve your equation step-by-step.

1/(x+3)=11

(1/n=reciprocal of n)

Step 1: Multiply both sides by x+3.

1=11x+33

11x+33=1(Flip the equation)

11x+33−33=1−33(Subtract 33 from both sides)

11x=−32

11x/11=−32/11

(Divide both sides by 11)

x=−32/11

Check answers. (Plug them in to make sure they work.)

x=−32/11

(Works in original equation)

You might be interested in

What is equivalent to (x-1)^2

ioda

Answer:

x^2 - 2x + 1

Step-by-step explanation:

(x-1)^2 = (x-1)(x-1)

= x^2 - x - x + 1

= x^2 - 2x + 1

4 0

3 years ago

Read 2 more answers

Expand and simplify

Blababa [14]

<h2>Question:</h2>

→To simple the given equations

( 2x + 1 ) + 5x
( x + 3 ) ( x + 4 )
( x + y ) ²
( 2x + 1 ) ( x - 3 )

<h2 /><h2>Answer:</h2>

$\green{step \: 1}$

→ $3 ( 2x + 1 ) + 5x$

$\green{step \: 2}$

→ $6x + 3 + 5x$

$\green{step \: 3}$

→ $\blue{11x + 3✓}$

$\green{step \: 1}$

→ $( x + 3 ) ( x + 4 )$

$\green{step \: 2}$

→ ${x}^{2} + 4x + 3x + 12$

$\green{step \: 3}$

→ $\blue{ {x}^{2} + 7x + 12✓}$

$\green{step \: 1}$

→ $( x + y ) ^2$

$\green{step \: 2}$

→ $\blue{{x}^{2} + {y}^{2} + 2xy✓}$

$\green{step \: 1}$

→ $( 2x + 1 ) ( x - 3 )$

$\green{step \: 2}$

→ $2 {x}^{2} - 6x + x - 3$

$\green{step \: 3}$

→ $\blue{2 {x}^{2} - 5x - 3✓}$

<u>★</u><u>What do you mean by simplifying an equation:</u>

Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .

<u>★</u><u>Steps we can do to simplify the equation:</u>

Open brackets/parentheses to make the equation more simplified.

Add /subtract numbers or numbers with same variable/constant.

thankyou ❤️

3 0

3 years ago

Nikki is playing a trivia game. At the end of the first round she has 8 points. During the second round she loses 16 points . Wh

ioda

8-16 is the answer hope this helps!

7 0

3 years ago

Read 2 more answers

8 times ( 18 divides 6 )

Vika [28.1K]

Answer: 24

Step-by-step explanation: 8x3=24 in which 18 divided by 6 is 3.

6 0

3 years ago

Read 2 more answers

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

4 years ago