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mafiozo [28]
3 years ago
12

Write the standard equation of a circle with center (2, −5) and radius 16.

Mathematics
2 answers:
astra-53 [7]3 years ago
7 0

The standard equation of circle when center is (h,k) and radius is 'r'

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

h = 2 and k = - 5, radius = 16

So equation of the circle is given by

\left ( x - 2 \right )^{2} + \left ( y - (-5) \right )^{2} = 16^{2}

\left ( x - 2 \right )^{2} + \left ( y + 5) \right )^{2} = 256

zaharov [31]3 years ago
3 0
(x-2)^2 + (y-(-5))^2 = 16^2
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5.607 is what percent of 89 step by step
MrMuchimi

Answer:

6.3%

Step-by-step explanation:

so 5.607 = x% * 89

to find the percent u need to divide : 5.607/89 which is : 0.063

to convert 0.063 to a percent multiply 0.063 by 100 = 6.3%

check :

6.3% *89 = 5.607

4 0
3 years ago
Ken has a rectangular shaped vegetable garden that is 15 feet by 9 feet. He would like to increase the length and width by the s
tigry1 [53]

The current area is 15 x 9 = 135 square feet.

He wants to increase both the length and width by X:

Set up an equation:

(15 +x) * (9 +x) = 135 * 2

Simplify :

x^2 + 24x  +  135 = 270

Subtract 270 from both sides:

x^2 + 24x - 135 = 0

Use the quadratic formula to solve for x:

-24 +/- √(24^2 - 4(1*-135) / 2*1

x = 4.7 or -28.7

The answer has to be a positive value, so x = 4.7 feet.

8 0
3 years ago
Please assist me with these problems​
Alex73 [517]

Answer:

1) $350

2) 55°

3) $300

Step-by-step explanation:

1) The total cost is the cost of the appointment plus the cost of the repair work.  The appointment costs $50.  The repair work costs $120 per 2 hours.  So the total cost is:

C = 50 + (120/2) t

C = 50 + 60t

For 5 hours of work, the cost is:

C = 50 + 60(5)

C = 350

It costs $350.

2) The temperature starts at 70°.  It drops 10° in 4 hours.  So the temperature after t hours is:

T = 70 + (-10/4) t

T = 70 − 2.5t

After 6 hours:

T = 70 − 2.5(6)

T = 55

The temperature is 55°.

3) Jennie's total pay is her weekly pay plus her commissions.  If her commission is x% of her sales, then her pay is:

P = 250 + (x/100) S

When her sales is $1000, her pay is $275.

275 = 250 + (x/100) 1000

275 = 250 + 10x

25 = 10x

x = 2.5

So her pay is:

P = 250 + (2.5/100) S

When S = $2000:

P = 250 + (2.5/100) 2000

P = 250 + 50

P = 300

Her total pay is $300.

8 0
3 years ago
The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and
Travka [436]

Answer:

3.2 feet


Step-by-step explanation:

The equation  f(x)=-0.3x^{2}+2x  shows the height of water [f(x)] and horizontal distance [x].

<em>Given the </em><em>horizontal distance is 4 feet</em><em>, they want to know the height.</em>


<em>Simply put 4 in x of the equation and solve for f(x). So,</em>

<em>f(x)=-0.3(4)^{2}+2(4)\\f(x)=3.2</em>

So, the height of the water was 3.2 feet above the ground.

4 0
3 years ago
Read 2 more answers
Point B is on the graph of the function f(x) = -3x^2. If the x-coordinate of point B is 2, which ordered pair gives the location
Oksana_A [137]
<span>f(x) = -3x^2</span>
insert x=2
y=-3*2^2
y=-3*4
y=-12
so your pair is (2,-12)
6 0
3 years ago
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