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labwork [276]
3 years ago
13

URGENT URGENT HELP NEEDED! I AM BEGGING...PLS SOLVE A GEOMETRY QUESTION. I HAVE ATTACHED THE SNIP. THANKS

Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
(x-h)^2+(y-k)^2=r^2\\
(h,k)-\text{ center}\\\\
x^2+y^2-6x+8y+21=0\\
x^2-6x+9+y^2+8y+16-4=0\\
(x-3)^2+(y+4)^2=4\\
\text{center}=(3,-4)\\
r=\sqrt4=2
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Identify the values that should be written to complete the X diagram.
cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0
3 years ago
x can do a job in 16 days and y can do the same jovb in 20 days x y and z can do the job in 7.5 days. alone z can do the same jo
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Answer:

24 days

Step-by-step explanation:

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Step-by-step explanation:

Your previous questions answer is

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Answer:

This is my answer !

Step-by-step explanation:

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. Use the number line to illustrate the difference: -3-(-7)​
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