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german
2 years ago
14

Solve number 8 please

Mathematics
1 answer:
beks73 [17]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = \sqrt{9} = 3

this is shown in graph b

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Which matrix represents the system of equations shown below?<br> y = 5<br> 4x = 3
ivann1987 [24]

Answer:

\left[\begin{array}{ccc}1&0\\0&4\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\3\end{array}\right]

Step-by-step explanation:

A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.

When given the following system:

y = 5

4x = 3

One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).

y + 0x = 5

0y + 4x = 3

Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).

\left[\begin{array}{ccc}1&0\\0&4\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\3\end{array}\right]

7 0
3 years ago
john set a record when he caught a salmon that weighed 97 1/2pounds. james caught a salmon that weighed 74 7/16pounds. How much
ZanzabumX [31]

Answer:

23.0625 or 23 13/200

Step-by-step explanation:

97 1/2 - 74 7/16 = 23.065 or 23 13/200

Fun fact: The heaviest salmon caught is actually 97 pounds!

If you found this helpful, please give me brainliest. Thanks!

5 0
3 years ago
Help please ….. help
puteri [66]

Answer:

Step-by-step explanation:

a) categorical

b) add all of the numbers and divide by how many numbers there were.

c) outliers means any that were far away from the rest of the data

d) not entirely, you can make an estimate based on it, but nat an exact answer.

6 0
3 years ago
at the mall, myla bought a shirt for $25.36, a hat for $5.09 and a belt for $11.45. how much did she spend altogether?
malfutka [58]

The summation of the money Myla spend altogether is $41.9

As in the given problem  we can see Myla bought

a shirt for $25.36 and

a hat for  $5.09  and

a belt for $11.45.

Hence we need to know the cummulative price she spend altogether.

To get the total price we should add the price of shirt hat and belt.

Summing all the prices we get

$25.36+$5.09+$11.45=$41.9

As all the quantities are given in one currency thus we can add them by simple addition formula.

Thus she spend $41.9 altogether at the mall.

Learn more about the summation here:

brainly.com/question/9458437

#SPJ4

8 0
1 year ago
What is 3/4- (-5 1/4) =<br><br> NEED HELP ASAP
Fantom [35]

Answer:

6

Step-by-step explanation:

\frac{3}{4} - (-5\frac{1}{4})

-5 1/4 is a mixed fraction. so we convert it into improper fraction

-5\frac{1}{4}=-\frac{5*4 +1}{4}=-\frac{21}{4}

\frac{3}{4} - (-\frac{21}{4})

negative and negative becomes positive

\frac{3}{4} +\frac{21}{4}

Both fractions have same denominators. so we can combine the numerators

\frac{3+21}{4}=\frac{24}{4}

Divide the fraction

\frac{24}{4}=6

3 0
3 years ago
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