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3 years ago

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

1 answer:

4 0

The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²

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2/3 + 1/4 what is a simplified expression?

Anna35 [415]

Answer:

11/12

Step-by-step explanation:

We need to get a common denominator of 12

2/3 *4/4 = 8/12

1/4 *3/3 = 3/12

2/3 +1/4

8/12+3/12

11/12

5 0

3 years ago

Use the ruler to measure the length of Line segment R S to the nearest centimeter.

Over [174]

Answer:

Length of the line segment RS is, 18 cm.

Step-by-step explanation:

Two points are drawn on a ruler. Point R is located at 8 cm and Point S is located at 26 cm.

So, length of the line segment RS is,

(26 - 8) cm\

= 18 cm

We know that on a ruler if two points A and B are at a cm and b cm respectively, then, length of AB

= AB = $\mid b - a \mid$ cm .

5 0

4 years ago

Read 2 more answers

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

4 0

3 years ago

How do I solve 3= log8+3log x?

taurus [48]

3 = log(8) + log(x³) 

When adding logs, you are multiplying the terms altogether. 

3 = log(8x³) 

Then, by log_a b = n ==> aⁿ = b: 

10³ = 8x³ [Since the base is not given, I assume that the base is 10] 
1000 = 8x³ 

Finally, solve for x. 

1000/8 = x³ 
x³ = 125 
x = (125)^(1/3) . . .Set both sides to the power of 1/3. 
x = 5 

Hence, x = 5.

3 0

3 years ago

The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award.

mr Goodwill [35]

Answer:bfhhfggnnghjgnnhhghjhjmjhkm

Step-by-step explanation:

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3 years ago