The diameter of a circle is 130 inches. The circle has two chords of length 66 inches. What is the distance from each chord to the center of the​ circle?

Answers

Answer 1
Answer:

Answer: 56

Step-by-step explanation:


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Factor Completely: x2 + 16(x + 4)(x - 4)
(x - 4)(x - 4)
(x + 4)(x + 4)
Prime

Answers

I think the correct answer from the choices listed above is the last option.The expression x^2 + 16 is a prime expression which cannot be further simplified over the real numbers. But when considering the complex numbers, the factor would be:

(x + 4i)(x - 4i)

We have (x + 4i)(x - 4i) as the fullyfactored form of x² + 16.

To factor completely the expression x² + 16, we can use the fact that the sum of squares, in this case, x² + 16, cannot be factored further using real numbers.

However, it can be factored using complex numbers.

The expression x² + 16 represents a quadratic trinomial with no real roots. Instead, it can be factored using complex numbers and the imaginary unit, denoted by 'i.'

The square root of -1 is represented by 'i,' and we can use this concept to factor the expression.

The factorization of x² + 16 can be done as follows:

x² + 16 = (x + 4i)(x - 4i)

Here, we have used the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).

In this case, a = x and b = 4i.

It's important to note that the factors (x + 4i) and (x - 4i) cannot be further simplified using real numbers, as 'i' represents an imaginary number.

Therefore, we have (x + 4i)(x - 4i) as the fullyfactored form of x² + 16.

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Compare the functions shown below:f(x)

x y
−3 −27
−2 −8
−1 −1
0 0
1 1
2 8
3 27
4 64
g(x)

linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2


What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?

Answers

To get the average rate of change, we simply have to use this formula:
ARC = (y2 -y1) / (x2 - x1)

For the first function:
ARC = (64 - 0) /  (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12

Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)

Answer:

the answer for my flvs students is  g(x), h(x), f(x)

Step-by-step explanation:

i just took the test

Which function has the greatest rate of change?A.
14x – 2y = 8

B.
y = 6x – 5

C.
x y
−2 −7
−1 −2
0 3


D.
A linear function that goes through point 1, 3 and point 0, negative 2

Answers

Hello,

Answer A

A: y'=7
B:y'=6
C:y'=5
D:y'=5

A rectangular field with an area of 5000m^2 is enclosed by 300m of fencing. Find the dimensions of the field? How?

Answers

area of field=xy=5000
perimeter of field=2(x+y)300
x+y=150
x=150-y
y(150-y)=5000
y^2-150y+5000=0
solve it
u get y= 50 or 100
then  x=100 or 50
therefore the dimensions are 100m and 50m 

The difference of a number q and 8

Answers

The difference of a number q and 8 is q-8.

It is required to write thedifference of a number q and 8.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

considering the word "difference" means subtraction, so to  subtract 8 from q.

the difference of a number q and 8 is

q-8.

Therefore, the difference of a number q and 8 is q-8.

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8-q, considering the word "difference" means subtraction, so you are subtracting 8 from q.

On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.

Answers

Answer:

He hiked 10 miles.

Step-by-step explanation:

rate x time = distance

The distance up and the distance down are equal

3 mi/1 hr  x (h hours + 2/3 hr) = 5 mi/1 hr  x  h hours

3h + 2 = 5h

2 = 2h

h = 1 hour

3mi/hr  x 1 2/3 hr = 5 miles

5 mi/hr x  1 hr = 5 miles