solve systems by substitution method x + y = 12 3x - y = 20

Answer: 4π cm^2/minute

Step-by-step explanation:

Rate of change :

Change with respect to time (dr/dt)

dr/dt = 0.4cm^2/s

r = 5cm

The rate of change when the Radius is 5cm

Area / Circumference of a circle (A) = πr^2

From chain rule of differentiation:

dA/dt = (dr/dt) * (dA/dr)

If A = πr^2

dA/dr = 2πr

dA/dr = 2π * 5 = 10π

However,

dA/dt = (dr/dt) * (dA/dr)

dA/dt = (0.4) * (10π)

dA/dt = 4π cm^2/minute

Answer:

Yes.

Step-by-step explanation:

You are correct except to the nearest hundredth it is 795.54 cm^2.

Answer:

B.

Step-by-step explanation:

The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.

So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.

Hope this helps!

Answer:

Step-by-step explanation:

put (x+2)/(x-2)=a

a-1/a=5/6

[tex]multiply~by~6a \\6a^2-6=5a\\6a^2-5a-6=0\\6a^2-9a+4a-6=0\\3a(2a-3)+2(2a-3)=0\\(2a-3)(3a+2)=0\\either 2a-3=0,a=3/2 \\\frac{x+2}{x-2} =\frac{3}{2} \\cross~multiply\\3x-6=2x+4\\3x-2x=4+6\\x=10\\[/tex]

[tex]or~3a+2=0\\a=-2/3\\\frac{x+2}{x-2} =-\frac{2}{3} \\3x+6=-2x+4\\3x+2x=4-6\\5x=-2\\x=-2/5[/tex]

2.

put (x+3)/x=a

a+1/a=4  1/4

[tex]a+\frac{1}{a} =\frac{17}{4} \\multiply~by~4a\\4a^2+4=17a\\4a^2-17a+4=0\\4a^2-16a-a+4=0\\4a(a-4)-1(a-4)=0\\(a-4)(4a-1)=0\\either~a-4=0,a=4\\\frac{x+3}{x} =4\\4x=x+3\\4x-x=3\\3x=3\\x=3/3=1\\or\\4a-1=0\\a=1/4\\\\\frac{x+4}{x} =\frac{1}{4} \\4x+16=x\\3x=-16\\x=-16/3[/tex]

Answer:

3 = x

Step-by-step explanation:

5(x+4) = 35

distribute: 5x + 20 = 35

subtract 20 to both sides

15 = 5x

divide by 5 to make x independent

x=3

Answer:

hi pls do enter the no.s

Answer:

Option A is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( 2 , 2 ) ------> ( x1 , y1 )

B ( 3 , 5 ) -------> ( x2 , y2)

Now, let's find the mid-point :

Midpoint = [tex] (\frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )[/tex]

plug the values

[tex] = ( \frac{2 + 3}{2} \: , \frac{2 + 5}{2} )[/tex]

Calculate the sum

[tex] = \: ( \frac{5}{2} \:, \frac{7}{2} )[/tex]

Hope this helps..

Best regards!!

Answer:

(-5,-13) has a difference of 8

Answer:

-2 and -10

Step-by-step explanation:

negative integers are whole numbers below 0

difference is the same as (-)subtraction

x-y=8

if x= -2

-2-y=8

-y=8+2

-y=10

y= -10.

-2 - (-10)=8

-2+10=8

8=8

Answer:

Multiply the first equation by -4

Step-by-step explanation:

Equation A: 3c = d − 8

Equation B: c = 4d + 8

We want to eliminate variable d

Multiply the first equation by -4

-4( 3c = d − 8)

-12c = -4d +32

Add this to the second equation

-12c = -4d +32

c = 4d + 8

================

-11c = 0d + 40

Answer:

A : Multiply equation A by −4

Step-by-step explanation:

3c = d - 8

Multiply the equation by -4.

-12c = -4d + 32

-12c = -4d + 32

c = 4d + 8

Add equations.

-11c = 0d + 40

-11c = 40

The d variable is eliminated.

Answer:

The critical points are 12 and 0.

Step-by-step explanation:

We have that the critical numbers are those values that result from equating the derivative of a function to zero. Also called roots or zeros of the derived function.

IF f is defined in x, it will be said that a is a critical number of f if f '(x) = 0 or if f is not defined in x.

Now the function is:

f (x) = x ^ 2 / (x -6)

we have that the derivative of the quotient is:

(f / g) '= (f' * g - g '* f) / g ^ 2

we replace and we have:

f (x) = [2 * x * (x-6) - 1 * x ^ 2] / (x -6) ^ 2

simplifying we have:

f (x) = [x ^ 2 - 12 * x] / (x -6) ^ 2

this must be equal to 0, like this:

 [x ^ 2 - 12 * x] / (x -6) ^ 2 = 0

we solve:

x ^ 2 - 12 * x = 0

x * (x - 12) = 0

Thus:

x = 0

x - 12 = 0 => x = 12

The critical points are 12 and 0.

Answer:

The last choice (3,2), because both lines pass through this point.

Step-by-step explanation:

For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.

Answer: (3, 2), because both lines pass through this point

Step-by-stepexplanation:

This can be solved by substitution. The graph will show the same result.

Answer:

Step-by-step explanation:

In a right triangle, the sides forming the right angle also determine the angle opposite one of the sides.

Tan(29) =26/x                Multiply both sides by x

x tan(29) = 26                 Divide by tan(29)

x = 26/tan(29)                Find tan(29)

x = 26/0.5543                Divide

x= 46.9

Answer:

a = 11.71 ; b = 15.56

Step-by-step explanation:

For this problem, we need two things.  The law of sines, and the sum of the interior angles of a triangle.

The law of sines is simply:

sin(A)/a = sin(B)/b = sin(C)/c

And the sum of interior angles of a triangle is 180.

45 + 110 + <C = 180

<C = 25

We can find the sides by simply applying the law of sines.

length b

7/sin(25) = b/sin(110)

b = 7sin(110)/sin(25)

b = 15.56

length a

7/sin(25) = a/sin(45)

a = 7sin(45)/sin(25)

a = 11.71

Answer:

x=12,y=10

Step-by-step explanation:

Step: Solve x+3y=42

x+3y=42

x+3y+−3y=42+−3y(Add -3y to both sides)

x=−3y+42

Step: Substitute−3y+42forxin2x−y=14:

2x−y=14

2(−3y+42)−y=14

−7y+84=14(Simplify both sides of the equation)

−7y+84+−84=14+−84(Add -84 to both sides)

−7y=−70

Divide both sides by -7

y=10

Step: Substitute10foryinx=−3y+42:

x=−3y+42

x=(−3)(10)+42

x=12(Simplify both sides of the equation)

Hope this Helps:)

-Ac<3-

1 Ampere = 1 Coulomb of charge per second

2.5 A  =  2.5 C of charge per second

Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)

Time = (3.5 / 2.5) (C / C-sec)

Time = 1.4 sec

A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.

Answer:

Formula 15° × π/180 = 0.2618rad

0.261799

Step-by-step explanation:

Answer:

1 /12 pi

Step-by-step explanation:

To convert degrees to radians, multiply  by pi/ 180

15 * pi/ 180

1 /12 pi

Answer:

(0, 2.5)

Step-by-step explanation:

Well we substitute y-y into x in the following equation,

2x + 4y = 10

2(y-y) + 4y = 10

2y - 2y + 4y = 10

Combine like terms

2y - 2y = 0

4y = 10

10/4

y = 2.5

If y is 2.5 we can plug those into y.

2x + 4(2.5) =10

2x + 10 = 10

-10

2x = 0

0/2

x = 0

I'll be using the following properties about exponents:

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex]a^b \div a^c=a^{b-c}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

where a, b, and c are some positive integers

Part a:

[tex]8^5 \times 8^4 = 8^{5+4}=8^9[/tex]

Part b:

[tex]3^{11} \times 3 = 3^{11} \times 3^{1} = 3^{11+1} = 3^{12}[/tex]

Part c:

[tex]9^3 \times 9^7 = 9^{3+7}=9^{10}[/tex]

Part d:

[tex]7^7 \div 7 = 7^7 \div 7^1 = 7^{7-1}=7^6[/tex]

Part e:

[tex]12^{10} \div 12^5 = 12^{10-5}=12^5[/tex]

Part f:

[tex](6^3)^6 = 6^{6 \times 3} = 6^{18}[/tex]

These should be all the answers. Let me know if you need any clarifications, thanks!

Answer:

( x-7)^2 + ( y+12) ^2 = 81

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x-7)^2 + ( y--12) ^2 = 9^2

( x-7)^2 + ( y+12) ^2 = 81

Answer:

(x - 7)² + (y + 12)² = 81

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Here (h, k) = (7, - 12) and r = 9, thus

(x - 7)² + (y - (- 12))² = 9², that is

(x - 7)² + (y + 12)²= 81

Answer:

The answer is below

Step-by-step explanation:

Points A(-l, y) and B(5,7) lie on a circle with centre O(2, -3y). This means that AB is the diameter of the circle and OA = OB = radius.

For two points X([tex]x_1,y_1[/tex]) and Y([tex]x_2, y_2[/tex]), the coordinates of the midpoint (x, y) between the two points is given as:

[tex]x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex].

For A(-l, y) and B(5,7) with center O(2, -3y), the value of y can be gotten by:

[tex]For\ x\ coordinate:\\2=\frac{-1+5}{2}\\ 2=2.\\For\ y\ coordinate:\\-3y=\frac{y+7}{2}\\ -6y=y+7.\\-6y-y=7\\-7y=y\\y=-1[/tex]

The value of y is -1. Therefore A is at (-1, -1) and O is at (2, -3(-1))= (2, 3)

The radius of the circle = OA. The distance between two points X([tex]x_1,y_1[/tex]) and Y([tex]x_2, y_2[/tex]) is given as:

[tex]|OX|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Therefore\ the\ radius \ |OA|\ is :\\|OA|=\sqrt{(2-(-1))^2+(3-(-1))^2}=\sqrt{25}=5[/tex]

The radius of the circle is 5 units

Answer:

3/4

Step-by-step explanation:

We can use the slope of the line by using the slope formula

m = (y2-y1)/(x2-x1)

   = (7-1)/ ( 9-1)

    = 6/8

    = 3/4

Answer: 3/4

Step-by-step explanation: To find the slope of this line, I will be showing you the graphing method.

To find the slope of the line using the graphing method,

we first set up a coordinate system.

Next, we plot our two points, (1, 1), which we label point A, and (9, 7), which we label point B, and we graph our line, as shown below.

Now, remember that the slope, or m, is equal to

the rise over run from point A to point B.

To get from point A to point B, we rise

6 units and run 8 units to the left.

So our slope, or rise over run, is 6 over 8, which reduces to 3/4.

Answer:

√361=19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

8 feet

Step-by-step explanation:

[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]

Answer:

Step-by-step explanation:

cosФ=0 then the angle=π/2=90 degrees

sinФ==1     sin 90=1

12) the original price of the console  that Amanda bought :

240+(240*50%)=360 dollars

the price before the tariffs:

360-(360*50^)=180 dollars

Answer:

48

Step-by-step explanation:

The formula for the area of a square is A = s².  Plug in each value and see if is in between 2200 and 2400.

A = s²

A = (46)²

A = 2116

A = s²

A = (48)²

A = 2304

A = s²

A = (50)²

A = 2500

A = s²

A = (44)²

A = 1936

The only value that fits in between 220 and 2400 is 48.

Answer:

3x^2 + 3/2 x -9

Step-by-step explanation:

f(x) = x/2 -3

g(x) =3x^2 +x -6

(f+g) (x) =  x/2 -3 + 3x^2 +x -6

   Combine like terms

            = 3x^2 + x/2 +x -3-6

              = 3x^2 + 3/2 x -9

Answer:

1. 40.8 degrees

2. 65.6 degrees

Step-by-step explanation:

1.

sin(x) = opposite / hypotenuse = 17/26

x = arcsin(17/26) = 40.83 degrees

2. tan(x) = opposite / adjacent =  11/5 = 2.2

x = arctan(11/5) = 65.56 degrees

Answer:

I won't give you the answer straight away so you take the time to read my answer and understand

Step-by-step explanation:

We knoe that 2 to the third is 8. when you square to a negative power, you do squaring normally, and then take the reciprocal of that number. so 8 to the second power is 64, and we flip it over, sp the answer is 1/64