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pshichka [43]
2 years ago
5

*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).

Mathematics
2 answers:
earnstyle [38]2 years ago
8 0

Diameter

  • √(-7+5)²+(-1+9)²
  • √2²+8²
  • √4+64
  • √68
  • 2√17

Radius

  • 2√17/2
  • √17units

Now

Centre

(h,k)

  • (-7-5/2,-1-9/2)
  • (-12/2,-10/2)
  • (-6,-5)

Equation

  • (x-h)²+(y-k)²=r²
  • (x+6)²+(y+5)²=(√17)²
  • (x+6)²+(y+5)²=17

Option A

Rom4ik [11]2 years ago
6 0

Answer:

Step-by-step explanation:

Consider the end points (-7,-1) and (-5,-9)

The center is the mid point between these two points.

The value of center is,

(h,k) = ((-7-5)/2, (-1-9)/2)

(h,k) = (-12/2,-10/2)

(h,k) = (-6, -5)

If the center (h,k) = (-6, -5) and radius is r then the equation of the circle is,

Equation of Circle,

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

((x+6)^2)+(y+5)^2 = r^2

Hence, the answer is ((x+6)^2)+(y+5)^2 = r^2.

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?
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\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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Find the price per ounce rounded to the nearest cent: 1 lb 10 oz for $10.98.
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