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BartSMP [9]
4 years ago
14

Find the center and radius of the circle with equation (x - 6)2 + (y + 5)2 = 9. center (6,-5); radius 9 center (-6, 5); radius 3

C center (6, -5); radius 3 center (-6, 5); radius 9
Mathematics
1 answer:
Firdavs [7]4 years ago
7 0

Answer:

center (6, -5) radius 3

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center of the circle and r is the radius.

(x − 6)² + (y + 5)² = 9

The center is (6, -5) and the radius is 3.

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Given the equation AX+C=R, solve for X
Vinil7 [7]

Answer:

  x = (R -C)/A

Step-by-step explanation:

The variable X is multiplied by A and the product has C added. Undo these operations in reverse order: subtract C, then divide by A. Of course all operations are done to both sides of the equation.

  AX +C = R

  AX = R -C . . . . . .subtract C

  X = (R -C)/A . . . . divide by A

7 0
3 years ago
A soccer field measures 300 feet by 180 feet. What is the area of the field?
Iteru [2.4K]
It is 54,000 feet. Area is length times width (300 times 180).
8 0
4 years ago
NO LINKS!!! Fill in the blanks of this sheet. Part 1​
fredd [130]

Problem 1

Answer:

  1. The square root of the <u>   expression   </u> of the <u>   difference   </u> of <u>   x^2   </u>  and 11.
  2. The <u>   quotient   </u> of <u>   2   </u> times a number and -1
  3. The <u>   sum   </u> of the <u>   square root   </u>of two times a number and 11.

------------

Explanation:

The term "difference" is the result of subtraction. We're subtracting the x^2 and 11. Then applying the square root to the result.

Question 2 has the blanks filled correctly.

For the last sentence, we have a sum of the terms \sqrt{2x} and 11.

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

Problem 2

Answer:

The value of an algebraic expression depends on its <u>   variables   </u>

  1. Substitute the known value for each variable.
  2. Simplify using the <u>   order   </u> of <u>   operations   </u>
  3. Use the work to answer any word problems related to the expression.

------------

Explanation:

The variables are placeholders for numbers

So for instance, saying x+5 is like saying "some unknown number plus 5".

We could replace it with something like x = 10 to get x+5 = 10+5 = 15

Once the variable is replaced, you use the order of operations PEMDAS (some books refer to it as BODMAS).

6 0
2 years ago
What are all possible values of x that make a true statement?<br> 95 – 2x &lt; 7 (15x – 17)
vivado [14]

Answer:

x = 2

Step-by-step explanation:

From the question we are given the algebraic sign with the Inequality sign

95 - 2x < 7 (15x - 17)

In order to find all the possible values of x that makes the algebraic expression true ,

We solve for this by convert the less than(<) sign to =

A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.

Therefore:

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

Collect like terms

95 + 119 = 105x + 2x

214 = 107x

x = 214/107

x = 2

In other to confirm if x = 2 makes the expression true

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

95 - 2 × 2 = 105 × 2 - 119

95 - 4 = 210 - 119

91 = 91

Therefore, the possible values for x that make the statement true is x = 2

6 0
3 years ago
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