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bulgar [2K]
3 years ago
5

Samantha has overspent her transportation allotment by $26 in April. She budgets 10% of her $3,014 monthly net income each month

. How much are the available funds for May?
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

Step-by-step explanation:

can someone answer this ASAP

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

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

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

( {x}^{2}  + 8x) +(  {y}^{2}  - 4y) = 7

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

8 0
2 years ago
What is 525/1000 in simplest form?
KiRa [710]
525/1000 = 105/200 = 21/40
8 0
3 years ago
Which statement describes the first step to solve the equation by completing the square?
BabaBlast [244]
Take 16x divide it by 2 and square it. 16/2= 8. 8^2= 64. So, the first step will be to add 64 to both sides.
8 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
Rasek [7]
X= - 1/2 , To find x- intercept zero , substitute f (x) = 0 , then just solve the equation for X , Hope this helped
5 0
3 years ago
What is the product of (n - 8)(n + 2)?
Anuta_ua [19.1K]

Answer:

n² - 6n - 16

Step-by-step explanation:

As per the question,

We have been provided the equation

(n-8)(n+2)

To find the product, we have to multiply the both term,

(n - 8) (n + 2)

= n (n + 2) - 8 (n + 2)

= (n² + 2n) - (8n + 16)

= n² + 2n - 8n - 16n

= n² - 6n - 16

Hence, the required answer of the product of (n-8)(n+2) =  n² - 6n - 16.

5 0
3 years ago
Read 2 more answers
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