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babunello [35]
3 years ago
10

A circle that is centered at the origin contains the point (0,4). How can you prove or disprove that the point (2,

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0
If the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:

r^2=0^2+4^2

r^2=16

r=4

so we can check that the other point is four units from the origin and thus also on the circle...

d^2=2^2+6^2

d^2=4+36

d^2=40

since d^2>r^2, (2,6) is outside the circle...
Nikitich [7]3 years ago
6 0

Answer:

Substitute the radius and the point (2, 6 ) into x2 + y2 = r2 and simplify.

Explanation:

Since the point (0,4)lies on the circle, the circle's radius is 4.

The equation for a circle that centers at (0,0) is x2 + y2 = r2.

If the point (2,6) lies on the circle the coordinates will satisfy the equation.

Substitute (2,6 ) into the :

22 + (6)2 = 42

4 + 6 ≠ 16

The point is not on the circle.

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23 points to whoever can answer this question !!
yKpoI14uk [10]

I do believe that that point is -2.2 because of the fact that the difference between -1.6 and -2.4 is 0.8, and there are 4 marks in between them. So each mark's value is decreased by -0.2.

5 0
3 years ago
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Shade the model to 0.5 x 0.3
stellarik [79]
What model? also it would be 1/2 and 1/3
6 0
3 years ago
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Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
3 years ago
$43.68532 rounded to the nearest dollar is?
Sedaia [141]

Note that when rounding, if the number is:

5 or greater, round up

4 or less, round down

43.68532 rounded to the nearest dollar is 44, as 6 rounds up

$44 is your answer

hope this helps

8 0
2 years ago
The sum of two numbers is 24 and their quotient is 5 <br> what are the two numbers
ELEN [110]
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24                         ⇒x=24-y
x/y=5

solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4

x=24-y
x=24-4
x=20

Answer: the numer are: 20 and 4

4 0
3 years ago
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