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3 years ago

Comppete the equation X^2+y^2-10x+6y=15

1 answer:

8 0

I believe you meant: Use completing the square to determine the center and radius of the circle represented by this equation: <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
(x-5)^2 + (y+3)^2 = 24 = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>

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Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with

kykrilka [37]

Answer:

5000

Step-by-step explanation:

Given the question :

The size of debt after m months is respresented by the expression :

36,700 - (5000 + 500m)

Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.

Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,

Then the amount paid from his salary after a certain number of months will be:

Fixed amount × number of months = 500 × m

Amount paid using signing bonus will be a constant = 5000

Total debt amount = 36,700

Size of debt left after m months :

Total debt - ( signing bonus - fixed amount × m)

Hence signing bonus = 5000

7 0

2 years ago

(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?

PSYCHO15rus [73]

<h3>The value of A will be -3x^2 </h3>

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

4 0

2 years ago

What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36

Goryan [66]

Answer:

36 : 6 and -6

12 = $2\sqrt{3} , -2\sqrt{3}$

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = $2^2*\sqrt{3} *\sqrt{3}$

$\sqrt{12} = 2\sqrt{3}$

also

12 = $-2\sqrt{3} *-2\sqrt{3}$

$\sqrt{12} = -2\sqrt{3}$

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

$\sqrt{1.96} = 14/10 \ or -14/10$

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of 0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

$\sqrt{400} = 20\\\sqrt{400} = -20\\$

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

$\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6$

7 0

2 years ago

Which would be the right one????

Mademuasel [1]

B would be the right one

6 0

2 years ago

A rectangle had an area of 24 cm(2) and a perimeter of 22 cm what is the length and width?

zavuch27 [327]

Answer:

length is 3 and width is 8

(You could also switch it. )

5 0

3 years ago