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3 years ago

X^2+y^2-10x-16y+53=0 What is the center of the circle? What is the radius of the circle?

Mathematics

1 answer:

Anon25 [30]3 years ago

7 0

Answer:

Step-by-step explanation:

hello : Completing The Square

X²+y²-10x-16y+53=0 means : (x²-10x+25-25)+(y²-16y+16-16)+53 =0

(x²-10x+25)-25)+(y²-16y+64)-64+53 =0

(x+5)²+(y-8)² -25-64+53=0

(x+5)²+(y-4)² = 6² standard form

the center is (-5 , 4) and the radius : 6

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Brendan bought an iced tea that cost $4.06 plus 7% sales tax. If Brendan left an 18% tip on the $4.06, how much in total did he

ahrayia [7]

Answer:

Step-by-step explanation:

18% tip in $=18/100 * $4.06

$0.7308

7% sales tax in $= 7/100 * $4.06

$0.2842

Total amount he paid= $0.7308+$0.2842+$4.06

$5.07500

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2 years ago

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If 36 is 25% of the total, what is the total?

Alexandra [31]

Answer:144
Explanation: 25% of the total in other words means that it is 1/4 (a quarter). You could just multiply 36 by 4 to get the total (100%). If u want to verify, just multiply 144 by 0.25 and u should get 36.

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3 years ago

Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver

Artemon [7]

Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

$a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3}$ units

Answer: $5 \sqrt{3}$

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3 years ago

Hono Golf is a manufacturer of golf products in Taiwan and China. One of the golf accessories it produces at its plant in Tainan

Elodia [21]

Answer:

Type I error.

Step-by-step explanation:

The decision to shut the process is triggered by the conclusion that the average height is significantly different from 66 mm.

This means that the null hypothesis, that states that the average height is not significantly different from 66 mm (μ=66), has been rejected.

If the null hypothesis is rejected, the error that can have been made is to reject a true null hypothesis, when the process is functioning to specification and the average length is not significantly different from 66.

This is a Type I error, that happens when a true null hypothesis is rejected.

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3 years ago

Y=-3x + 10<br> y = -2x + 6<br> Substitution method

Nutka1998 [239]

Answer:

x=4 and y=−2

Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

−3x+10=−2x+6

−3x+10+2x=−2x+6+2x(Add 2x to both sides)

−x+10=6

−x+10+−10=6+−10(Add -10 to both sides)

−x=−4

-x/-1 = -4/-1 (Divide both sides by -1)

x=4

Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

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3 years ago

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