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Mariana [72]
1 year ago
5

I can send the other options? I just need this explained?

Mathematics
1 answer:
OLEGan [10]1 year ago
3 0

The standard equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

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

For:

\begin{gathered} (x+3)^2+(y+1)^2=16 \\  \end{gathered}

Rewrite the equation as:

\begin{gathered} (x-(-3))^2+(y-(-1))^2=4^2 \\ so\colon \\ h=-3 \\ k=-1 \\ r=4 \end{gathered}

We can conclude it is a circle with center at (-3,-1) and radius of 4

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In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
anygoal [31]

Answer:

  (b)

Step-by-step explanation:

The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.

The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.

6 0
2 years ago
Will Mark Brainliest!!! Please Help
tresset_1 [31]

(1) Outcomes

(2) Permutation

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(4) Counting Principle

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(6) Factorial

(7) Addition Principle of Counting

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3 0
3 years ago
henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. How many miles to
Airida [17]
Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles.  After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

(45,d-68) and (71,d-51.5).  Let's find the slope of the line thru these 2 points:

                                 d-51.5 - (d-68)         16.5 miles
slope of line = m = ----------------------- = ------------------
                                     71 - 45                   26 min

Thus, the slope, m, is   m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or 

d - 50.135 miles.  We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes:  Henry has d - 68 miles to go;

After 71 minutes, he has        d - 51.5 miles to go; and

After 79 minutes, he has         d -  x miles to go.  We need to find x.

Actually, much of this is unnecessary.  Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

(0.635 miles/min)(8 min) = 5.08 miles.  Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.




7 0
3 years ago
What 2 numbers multiply to -147 but add to -14?
Bezzdna [24]
Okay, so let's go over multiplying negative numbers.  A positive times a positive is a positive, right?  But a negative times a negative is also a positive.  Only a negative times a positive (or a positive times a negative) gives you a negative number.  So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of -147, starting with the positives.  Obviously, -147 and 1 are factors: -147 * 1 = -147.  What other factors of -147 are there?

What about 7?  Try it: -147 / 7 = -21.  So here are two factors: -21, and 7.  They multiply to -147.  Do they add up to -14?  Let's see: -21+7 = 7+(-21) = 7-21= -14.  Yup, that works!

Answer: -21 and 7
4 0
3 years ago
Which of all the following inequalities is true for all real values of x?
siniylev [52]

Answer:

  C.  1/(x^2 +1) > 0

Step-by-step explanation:

The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.

1/x^2 is undefined for x=0, so cannot be compared to zero.

The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.

  1/(x^2 +1) > 0

3 0
3 years ago
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