Write the equation in standard form of the circle with radius 5 and center 0,3

Answer:

1/9

Step-by-step explanation:

16% can be fonud..............................................................

                                                                    Im not sure

The value of x² + x will be 20 when 3x - 1 = 11 .

Given, equation : 3x - 1 = 11

Firstly find the value of x from the equation .

Equation : 3x - 1 = 11

3x = 11 + 1

3x = 12

x = 4

Substitute x in x² + x .

= (4)² + 4

= 20

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Answer:

The simple annual interest rate is 5 %.

Step-by-step explanation:

Simple interest formula is,

[tex]I=\frac{P\times r\times t}{100}[/tex]

Where, P is the principal amount,

r is the rate per period,

t is the number of periods,

Here, P = $ 150,

I = $ 15,

t = 2 years,

By substituting the values,

[tex]15=\frac{150\times r\times 2}{100}[/tex]

[tex]15=\frac{300r}{100}[/tex]

[tex]15=3r[/tex]

[tex]\implies r = 5\%[/tex]

Hence, the simple annual interest rate is 5 %.

7 x 152 = 1064 for 7 bikes

 since 2 mopeds cost that amount divide by 2 for the price of 1 moped

1064/2 = $532

Answer:

[tex](x-2)^2+(y+3)^2=18[/tex]

Step-by-step explanation:

This is a circle.  It already is in standard form, so maybe you mean work form?  I'll go with that, since there's nowhere else to go!

Let's group the x terms together and the y terms together and move the constant to the other side of the equals sign first.

[tex]7x^2-28x+7y^2+42y=35[/tex]

In the world of conics, this is a circle because the leading coefficients on the x-squared term and y-squared term are the same, namely 7.

But if we are going to get this into its graphing form, or work form, we need that 7 to be a 1.  We are going to complete the square on both the x terms and the y terms.  First we factor out the 7 from both x and y:

[tex]7(x^2-4x)+7(y^2+6y)=35[/tex]

The rules for completing the square are as follows:

Take half the linear term, square it, and add it to both sides, keeping in mind the 7 you factored out as a multiplier.

Our linear term in the first set of parenthesis is 4 (from the -4x).  Half of 4 is 2, and 2 squared is 4.  We add a 4 into the parenthesis, but multiplying in the 7 has us actually adding in a 28.

Our linear term in the second set of parenthesis is a  (from 6y).  Half of 6 is 3, and 3 squared is 9.  We add a 9 into the parenthesis, but multiplying in the 7 has us actually adding in a 63.  Now here is what we have done thus far:

[tex]7(x^2-4x+4)+7(y^2+6y+9)=35+28+63[/tex]

We have, in the process of completing the square, created 2 perfect square binomials on the left.  That's why we do this...to get those perfect square binomials.  Stating those on the left and adding on the right breaks down our equation into work form.  Well, almost.

[tex]7(x-2)^2+7(y+3)^2=126[/tex]

Actual work form has us divide both sides by 7 to get the final answer of

[tex](x-2)^2+(y+3)^2=18[/tex]

And there you are!

The commission of Sam Taylor as an advertising agency will be $274.69.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Sam Taylor earns a 6 1/2% commission on sales of $4,226 as an advertising agent.

Then the commission of Sam Taylor as an advertising agency will be

P = (6 1/2%) x $4,226

P = 6.5% x $4,226

P = 0.065 x $4,226

P = $274.69

The commission of Sam Taylor as an advertising agency will be $274.69.

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The coordinates of A and B are (8,0) and (0,6) respectively. The length of AB is 10 units. The coordinates of point C, which is equidistant from both axes, are (3,3).

To find the coordinates of points A and B, you should find the points where the line intersects the x and y-axes. For the x-axis (y=0), the equation 3x + 4(0) = 24 simplifies to 3x = 24, or x = 8. Therefore, the coordinates of A are (8,0). Similarly, for the y-axis (x=0), the equation 3(0) + 4y = 24 simplifies to 4y = 24, or y = 6. Therefore, the coordinates of B are (0,6).

To find the length of AB, we use the distance formula, √[(x2−x1)²+(y2−y1)²], which results in √[(0-8)²+(6-0)²] = √[64+36] = √100 = 10.

For point C to be equidistant from the x-axis and the y-axis, its coordinates must be the same. Substituting y=x into the equation of the line gives 3x + 4x = 24, or x=3. So the coordinates of C are (3,3).

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Answer:

The cost of six dozen bags of bird food is $162.

Step-by-step explanation:

Consider the provided information.

Klara bought a dozen bags of bird food for $27.

The above information can be written as:

1 dozen = $27

Multiply both the sides by 6.

1×6 dozen = $27×6

6 dozen = $162

Hence, the cost of six dozen bags of bird food is $162.

By converting the verbal statement into an algebraic equation, we establish that the variable W, which represents the unknown number, is 6.

The question involves an algebraic expression, and it can be solved by first translating the verbal statement into an equation. Here, we're told that twice the difference of a number and 5 is 2, with the variable W representing the unknown number. The equation would therefore look like this: 2(W - 5) = 2.

To isolate W, next you divide each side by 2 yielding: W - 5 = 1.

Finally, to get W on its own, simply add 5 to both sides of the equation to get: W = 1 + 5, so W = 6.

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Answer:

sea creature is 20 times more long as compared to me.

Step-by-step explanation:

If my height is 6 feet and the length of arctic jellyfish is 120 feet then i have to compare my length with the length of the jellyfish.

[tex]\frac{\text{Length of jellyfish}}{\text{My length}}=\frac{120}{6}[/tex]

[tex]\frac{\text{Length of jellyfish}}{\text{My length}}=20[/tex]

Length of jellyfish = 20 times (my height)

The the sea creature is 20 times more long as compared to me.

angle ABE is equivalent to the whole angle, and it measures 2b. 
while the angle ABF is only a portion of angle ABE, and it measure 7b - 24. 

since we know the measure of the whole angle and a part of the angle, we can then subtract to find the left over angle (angle EBF), so

Angle EBF = Angle ABE - Angle ABF 

Angle EBF = 2b – (7b – 24)

Angle EBF = 24 – 5b

To convert the equation y = 4x + 9 to standard form, you subtract 4x from both sides to get -4x + y = 9, and then multiply by -1 to obtain 4x - y = -9, which is in the standard form with A, B, and C as integers.

To write the equation y = 4x + 9 in standard form using integers, we need to rearrange the equation so that it has the form Ax + By = C, where A, B, and C are integers, and A should be non-negative. Let's perform the transformation step by step:

In the process of constructing a table or plotting points, you would select values for x, calculate the corresponding y values, and then plot these values on a graph to visualize the line as described in Table A1 and Figure A1. Additionally, understanding that equations like 7y = 6x + 8, 4y = 8, and y + 7 = 3x are all linear equations, and understanding the relationship between independent and dependent variables, such as the year and the number of flu cases, is important in the context of mathematics and linear equations.

B = 3x/A + 2/A
C = x/A + 14/A

I hope this helps please give me brainliest

BC = AC-AB

BC = (x+14) -(3x+2)

BC = -2x+16