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cluponka [151]
3 years ago
15

XZ is a common external tangent to circles W and Y. What is the distance between the two centers of the circles? Round to the ne

arest hundredth.

Mathematics
2 answers:
kari74 [83]3 years ago
7 0

Construct a triangle by drawing a line parallel to XZ at Center W; intersecting the radius from Center Y to Z.


It is a right-angled triangle with one side at the same length as XZ = 42.

Length of the other side of the right-angle is the difference in radius = 19-11 = 8

Distance between centers = length of hypothesis

= sqrt(42^2 + 8^2)

= 42.755 = 42.76

Svetlanka [38]3 years ago
4 0
You can Draw a segment WY connecting the centers<span> of the </span>two circles<span>, and then draw a segment, WS, so that YS + SZ = YZ and WS ⊥ YZ).</span>
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pantera1 [17]

Answer:

y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

Hence (-6,8) satisfies the line equation:

8 = m(-6) + c ⇒ c-6m = 8 -------------1

We know that slope of two perpendicular lines are related as:

m_{1}\times m_{2}=-1

At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

Hence :

m_{normal} \times m_{tangent}=-1

We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

m=\frac{y_2-y_1}{x_2-x_1}

         =\frac{8-4}{-6+6}

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Slope of the normal is infinity and hence slope of tangent is -1/∞ = 0

Hence m=0

Putting m=0 in equation 1 we get:

c = 8

The equation of tangent line at (-6,8) is:

y = 8

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3 years ago
Of the 200 packages of bagels sold 15 of them are sesame seed bagels what percent of the bagel packages sold are sesame seed bag
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15 = x% from 200
<span>15 = </span><span> * 200</span>
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Andreyy89

Answer:

The answer is A and D. I just got the the same question on edge 2020

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Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were orange, 30% were green, and
Genrish500 [490]
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A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises
Firdavs [7]

Answer:

the required equation is; y = 21 sin(πt/6)

Step-by-step explanation:

Given the data in the question;

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Water drops below sea level = 21 ft

so

maximum = 21 ft and also

minimum = 21 ft

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Hence the required equation is; y = 21 sin(πt/6)

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