Help help !!!!!!!!!!!!!!!!!!!!!!!

The general form of the equation of a circle is x2+y2−4x−8y−5=0.

ludmilkaskok [199]

The general equation of a circle is $(x-a)^{2} + ( y-b)^{2} = r^{2}$ where a and b are the x and y components of the center respectively.

In order to get into this format, we have to use a method that I'm drawing a blank on the same, my apologies about that.

Anyway, what you want is to first isolate the variable on side so now you have: $x^{2} - 4x + y^{2} - 8y = 5$ (you'll see why I rearranged this soon)

Now you have to make it into an equation that can be simplified into the format stated earlier.

So, You have to take the x & y terms (-4x & -8y in this case) divide them each by two, and then square them.

The result of this step is the equation: $x^{2} -4x + 4 + y^{2} - 8y + 16 = 5 + 4 + 16$
Notice the new components that have been added (4 & 16) and how the have been added to both sides. That is an important step.

Now we simplify and get: $(x-2)^{2} + (y-4)^{2} = 25$

So the coordinate of the center is: (2,4) and the radius is 5

6 0

3 years ago

Solve the inequality: 16 < -2(x + 4)

Colt1911 [192]

Answer:

x < -12

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

16 < -2(x + 4)

Step 2: Solve for x

Distribute -2: 16 < -2x - 8
Add 8 to both sides: 24 < -2x
Divide -2 on both sides: -12 > x
Rewrite: x < -12

Here we see that any number x smaller than -12 would work as a solution to the inequality.

7 0

3 years ago

10 x f(7) +9 x g(-1)=

netineya [11]

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

6 0

2 years ago

What is the equation of the line i slope intercept form of the line passing throughoints (-5, -2)) and (3,-14).

Paraphin [41]

STEP 1

Write out the formula needed

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Also, m=}\frac{y_{}-y_1}{x_{}-x_1} \end{gathered}$

STEP 2

Equate both equations together then substitute the values of the points into the equation.

$\begin{gathered} \frac{y_2-y_1}{x_2-x_1}=\frac{y_{}-y_1}{x_{}-x_1} \\ \frac{-14-(-2)}{3-(-5)}=\frac{y-(-2)}{x-(-5)} \\ \frac{-14+2}{3+5}=\frac{y+2}{x+5} \\ -\frac{12}{8}=\frac{y+2}{x+5} \\ -\frac{3}{2}=\frac{y+2}{x+5} \\ \text{Cross multiply} \\ -3(x+5)=2(y+2) \\ -3x-15=2y+4 \\ 2y=-3x-15-4 \\ 2y=-3x-19 \\ \text{Divide both sides by 2} \\ y=-\frac{3x}{2}-\frac{19}{2} \end{gathered}$

5 0

1 year ago

What type of endorsement is illustrated by the following example:

Bezzdna [24]

When receiving a check from someone, you'll see that there are lines on the back. Those lines are for the check to be endorsed so you can cash it or deposit your money. Most of the time you'll just sign the back to endorse it and put it in your account or get money in return. However, there are special cases that can show where the money should go. Here are different types of endorsements:

1. Blank endorsements have just your signature on the back. Anyone can cash or deposit a check with this endorsement.

2. Restrictive endorsements have "For Deposit Only" on the first line, then your signature below that. This type of check can only be deposited, not to be cashed for money.

3. Special endorsements are for giving your check to another person. This check can only be deposited or cashed by the person designated on the back. For this endorsement, you would write "Pay to the order of" and then the person's name you want to give the check to. You would then sign your name underneath that.

As seen in your question, Isis Love is signing it as a special endorsement. She is giving her check to Mike Lopez so his name follows "Pay to the order of". The numbers at the bottom would represent the bank account number.

7 0

4 years ago