what is the result of isolating y^2 in the equation below (x+6)^2+y^2=1​

Answers

Answer 1

Answer:

(x+6)^2 + y^2 = 1 then isolate y^2  by subtracting (x +6)^2 from both sides, we get

               

                y^2 = 1 - (x + 6)^2

expanding the right side, we now have

                y^2 = 1-(x^2 + 12x +36)

          y^2 = 1-x^2-12x -36

          y^2 = -x^2 -12x - 35  therefore the solution is  choice A

Step-by-step explanation:


Related Questions

It takes 26 recyclable plastic soda bottles to make one polyester suit. How many bottles will be needed to make one dozen suits??

Need your help.

Answers

Answer:

It would take 312 bottles to make one dozen suits.

Step-by-step explanation:

One dozen suits = 12 suits.

As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.

Which of the following is the product of the rational expression shown below?[tex]((x)/(x+3))*((x)/(x+2))[/tex]


A. x^2/ x^2+5x+6

B. x^2/ x^2+6

C. 2x/ x^2+5x+6

D. x^2/x^2+5

Answers

Answer:

A

Step-by-step explanation:

A

The answer is A.hope it help u

I need help

Solve for X when:2X=8

Answers

Answer:

x=4

Step-by-step explanation:

x=8/2 =4

this question is quite easy

plz help me I'm literally about to cry ​

Answers

Answer:

[tex](2,4)[/tex]

Step-by-step explanation:

Hope it is helpful...

which graph shows the solution to this system of linear inequalities?​

Answers

Answer:

c or b

tep-by-step explanation:

whats the answer for
x/9+7>10

Answers

Answer:

x > 27

Step-by-step explanation:

x/9 + 7 > 10

Subtract 7 from goth sides.

x/9 > 3

Multiply both sides by 9.

x > 27

The answer is x>27 I

What is true about the sides of KNM?

KN = NM
KN + NM = KM
KM = 2(NM)
KN = One-halfKM

Answers

Answer:KN = NM

Step-by-step explanation:

you desperate anyways that’s why you here

Answer:

its the first one

Step-by-step explanation:

i did it

please mark me brainliest


Help mark complete the pairs of expressions

Answers

Answer : B and C

if u do the equation on the calculator for the equation C,u will get the B

If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24

Answers

Answer:

Option (2)

Step-by-step explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

                              = 25x² + 90x + 81 + 3

                              = 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.

Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?

Answers

Answer:

The length of each piece is 0.833 ft.

Step-by-step explanation:

Length of board, L = 5 ft 1 inch

loss per cut = 1/5 inch

The board should be cut by 5 times to get the 6 pieces.

The loss in 5 cuts = 5 x 1/5 = 1 inch

So, the length of each piece is

[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]

The length of each piece is 9 13/15 inches.

What is the length of each piece?

The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.

1 feet = 12 inches

(12 x 5) + 1 = 61 inches

Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches

Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches

Length of each board = 59 1/5 ÷ 6

296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

The picture is above I’ll mark as brainliest.

Answers

Answer:

area=l×b

24=6×b

or,24=6b

or, 24/6=b

or,4=b

therefore,b=4..

width =4

Answer:

4 in

Step-by-step explanation:

Let x be the width of the triangle

we know that the area of the rectangle above is the product of the length and the width

[tex]6 . x = 24\\[/tex]

divide both sides by 6

[tex]6x/6 = 24/6 \\\\x = 4[/tex]

the width is 4 inches

Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet

Answers

Answer:

Width = 15 feet

Length = 32 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet

Help i dont know what this is

Answers

Answer:

Use a permitation :D

P(4,2)= 4x3=12

D, 1/12

Find the equation of a line with the point (5, -3) and slope m = 2. (y=mx+b)

Answers

Answer:

y = 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 2 , then

y = 2x + b ← is the partial equation

To find b substitute (5, - 3) into the partial equation

- 3 = 10 + b ⇒ b = - 3 - 10 = - 13

y = 2x - 13 ← equation of line

The triangle below is isosceles. Find the length of side x in simplest radical form with

a rational denominator.




I really need help :(

Answers

Answer:

Value of x = 3√2 unit

Step-by-step explanation:

Given:

Hypotenuse of given triangle = 6 unit

Length of equal side = x units

Find:

Value of x

Computation:

Using pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse of given triangle² = Perpendicular² + Base²

6² = x² + x²

36 = 2x²

x² = 36/2

x² = 18

x = √18

x = 3√2

Value of x = 3√2 unit

A sick person takes 10 ml of medicine three times a day how much medicine does the person take in 15 days

Answers

Answer:

450 mL

Step-by-step explanation:

Given that :

Amount in mL of medicine taken at a time = 10mL

Number of times taken per day = 3 times

Amount in mL taken per day = 3 * 10mL = 30mL

Total amount in mL of medicine taken in 15 days :

Amount in mL taken per day * 15 days

= 30mL * 15

= 450mL

A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill.​

Answers

560? I believe im not positive

)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?

Answers

Answer:

7 5/6

Step-by-step explanation:

16 2/3 - 8 5/6

16 4/6- 8 5/6

7 5/6

25 points ! :)
Can anyone solve this ? with explanation?
[tex]A brick of weight 20N and dimensions 20 cm x1Ocm x Scm is placed once on its largest surface area and then on its smallest surface area on the ground. Find out the ratio of the pressure exerted by the brick.}}[/tex]

Answers

Answer:

1 : 4

Step-by-step explanation:

[tex]Pressure = \frac{F}{A}[/tex]

[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]

     [tex]=\frac{F}{20 \times 10 \times 20}[/tex]

[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]  

      [tex]=\frac{F}{20 \times 10 \times 5}[/tex]

[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex]          [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]        

Therefore ,

     [tex]P_1 : P_2 = 1 : 4[/tex]

Given :

The dimensions of the brick are :

20 cm

10 cm

5 cm

Solution :

[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]

The largest surface area would be : -

[tex]➢ \: \: 20 \times 10[/tex]

[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]

(product of two greater sides)

pressure applied by greatest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.02} [/tex]

[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]

[tex]➢ \: \: 1000 \: \: pascals[/tex]

The smallest surface area would be : -

[tex]➢ \: \: 10 \times 5[/tex]

[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]

(product of two Smaller sides)

pressure applied by smallest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.005} [/tex]

[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]

[tex]➢ \: \: 4000 \: \: pascals[/tex]

Let's find the ratio :

[tex]➢ \: \: \dfrac{1000}{4000} [/tex]

[tex]➢ \: \: \dfrac{1}{4} [/tex]

[tex]➢ \: \: 1 : 4[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

I need help with my math! Can you please help me!!

Answers

Answer:

[tex]y=-|x-1|+3[/tex]

Step-by-step explanation:

The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;

[tex]y=(+-)n|x-k|+h[/tex]

The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.

[tex]y=-|x|[/tex]

The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).

[tex]y=-|x-1|[/tex]

The function is shifted (3) units up, thus the position of (h) is occupied by a (3).

[tex]y=-|x-1|+3[/tex]

Therefore the following answer choice is correct, as it fits all of the requirements;

[tex]y=-|x-1|+3[/tex]

What is the distance between the points (5,0) and (2,1)?

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= [tex]\sqrt{10}[/tex]

14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?

Answers

Answer:

1/5

Step-by-step explanation:

20/100 or 1/5

can someone tell me the answers to this?

Answers

r= 56°

P=40°

c=14°

m=56°

Hope it helps you....

which statement is true regarding the functions on the graph?

Answers

Answer:

where's the graph?

Step-by-step explanation:

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

can someone answer my question.........​

Answers

Answer:

Rhombus

Energy used

Step-by-step explanation:

A rhombus is formed fromm the intersection, since the stick have equal length, Hence, all the sides will be equal and the opposite side will be parallel.

If a person exercises more and more, more energy is utilized, the dependemt variable here is the amount of energy utilized because it is the measured variable whose value is based on the amount or level of exercise the body is subjected to. The amount of exercise is the dependent variable as it gives influences the amount of energy expended

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

A solid right pyramid has a regular hexagonal base with an area of 5.2 centimeters squared and a height of h centimeters.

Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3
StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3
StartFraction 1 Over 3 h EndFraction(5.2)h cm3

Answers

Answer:

its c

Step-by-step explanation:

cause this dude think u gonna open a word link^^^^

Answer:

c) One-third(5.2)h cm3

Step-by-step explanation:

edge 2023

Solve this pleaseeeee

Answers

Answer:

-4 < n ≤ 5

Step-by-step explanation:

________________

Please help me on this question

Answers

Answer:

Step-by-step explanation:

A=180/360×π(4^2)

A=1/2×16π

A=8π

the correct answer is 8π. i hoped this helped!

Which property of exponents must be used first to solve this expression? (iy2)1/3

Answers

Step-by-step explanation:

"must be used first" is a very hard phrasing. multiplication is commutative.

and I am not sure that the problem is stated correctly.

I read here

(i×y²) to the power of 1/3.

i is the imaginary constant sqrt(-1) ?

exponents brought themselves to the power of something else multiply.

e.g.

[tex]({2}^{3})^{4} = {2}^{12} [/tex]

exponents in multimedia expressions of the same base simply add up.

e.g.

[tex] {2}^{3} \times {2}^{4} = {2}^{7} [/tex]

a negative exponent means that the expression with the same positive exponent is just at the bottom of a division.

e.g.

[tex] {2}^{ - 3} = 1 \div {2}^{3} [/tex]

and a fraction as exponent specifies a root to be taken.

e.g

[tex] {2}^{1 \div 3} = \sqrt[3]{2} [/tex]

so, I would do all the exponent multiplications to simplify the expression.

[tex] \sqrt[3]{i \times {y}^{2} } = ({i \times {y}^{2} })^{1 \div 3} = [/tex]

[tex] = ( { - 1}^{1 \div 2} \times {y}^{2} ) ^{1 \div 3} [/tex]

1/2 × 1/3 = 1/6

2 × 1/3 = 2/3

[tex] = { - 1}^{1 \div 6} \times {y}^{2 \div 3} = \sqrt[6]{ - 1} \times \sqrt[3]{ {y}^{2} } [/tex]

so, as we can see, we can move freely from multiplying the fraction exponents to converting them into root expressions and vice versa.

13. Which equation represents the line that passes through the point (4,-5) and is
perpendicular to y = 1/2x + 8?

Answers

Answer:

y = - 2x + 3

Step-by-step explanation:

since the line passing through ( 4, - 5 ) is perpendicular to y = 1/2 x + 8, product of the slope of the lines will be - 1.

That is ,

    [tex]m_1 \times m_ 2 = - 1[/tex]       [tex][ \ where \ m_ 1 = \frac{1}{2} \ ][/tex]

   [tex]\frac{1}{2 } \times m_2 = - 1 \\\\m_ 2 = -1 \times 2 = -2[/tex]

Find the equation the line perpendicular to the given line :

[tex]( y - y_2 ) = m_ 2 ( x - x_ 2 ) \ , [ \ where \ (x_2 , y_2 ) = ( 4 , -5 ) \ ][/tex]

[tex]( y - ( -5)) = -2 ( x - 4)\\\\( y + 5 ) = - 2 x + 8\\\\y = -2x + 8 - 5 \\\\y = -2x + 3[/tex]

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