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3 years ago

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

Mathematics

2 answers:

ale4655 [162]3 years ago

7 0

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

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

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

tigry1 [53]3 years ago

3 0

Answer: b

Step-by-step explanation:

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Please help me with these two questions

KonstantinChe [14]

Answer:

#1 is 60°, #2 is 55°

Step-by-step explanation:

all angles in a triangle add up to 180° so u can just subtract from that for the missing angles. :)

4 0

3 years ago

Write these equations in y=mx+b form....

nekit [7.7K]

1. y = -1/2 + 2.
2. y= 2/5x - 4/5

6 0

3 years ago

A number is squared. The result is squared, then that result is squared. The final number is 6561. What was the original number?

MissTica

The original number is 3.

I actually began with the guess-and-check method, but seeing as that won't always work, let's go over the formal way. To get the original number, you first need to determine how many times the number was squared.

To make it simple, let's use x to focus on the exponents. The number was squared 3 times, so x^2, x^2, x^2. Basically, you need to multiply. 2 * 2 * 2 = 8. So, now find the 8th root of 6561 (depending on the calculator, you can just input it). You should come up with 3. Let me know if this part confuses you.

To find the next 2 numbers, you just need to continue the pattern.

6561^2 = 43,046,721

43,046,721^2 = 1,853,020,188,851,841

To my knowledge, which means this could be wrong, they're both perfect squares. Since the number to get them both were whole numbers, they should both have a square root that equals a whole number.

3 0

3 years ago

The formula for the nth term of an arithmetic sequence can be found using the formula a Subscript n Baseline = a Subscript 1 Bas

Gnoma [55]

The equation of nth term will be written as for n as will be ( $\rm a_n$ - a₁ + d) / d. Then the correct option is D.

The missing options are attached to the picture given below.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The formula for the nth term of an arithmetic sequence can be found using the formula given below.

$\rm a_n = a_1 + (n-1)d$

Then arrange the equation for n, we have

$\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d} \end{aligned}$

Then the correct option is D.

More about the sequence link is given below.

brainly.com/question/21961097

#SPJ1

6 0

2 years ago

Twice a certain whole number subtracted from 3 times the square of the number leaves 133. Find the number

user100 [1]

Answer:

Step-by-step explanation:

"a certain whole number" is a number that we don't know, so pick a variable, let's use n

"Twice" means two times, so we'll use 2n for this.

"subtracted from" means the 2n will be AFTER the minus sign.

____ - 2n

What goes in front? "3 times the square of the number" 3n^2

Now we have 3n^2 - 2n

Lastly, we see the result is 133. So this gives us:

3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.

3n^2 -2n - 133 = 0 Next FACTOR.

(3n + 19)(n - 7) = 0

3n+19=0 and n-7=0

n=-19/3 and n=7

Since we are looking for a whole number choose n=7

6 0

2 years ago