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Ahat [919]
3 years ago
15

What is the definition of point of tangency? in Geometry

Mathematics
2 answers:
Allisa [31]3 years ago
8 0
<span>The point where a tangent and a circle intersect is y hope this helps</span>
Zolol [24]3 years ago
5 0
A tangent is basically a line that 'just touches' a curve - i.e. it is in a place where it approaches the curve, and a single point on the line touches a single point on the curve. It's quite an awkward definition since 'just touches' means only one infinitely small part of the line touches the curve, but it's quite obvious when you see it.
For that reason, I have attached a little diagram I improvised just now to help explain it. The red dot is where they meet, and the straight line is tangential to the circle.


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The length of the rectangle is three more than the width find the length of the rectangle if the perimeter is 98 inches
Aleks [24]

Answer:

length is 26 and width is 23

Step-by-step explanation:

let width be x

then length is 3+x since it is 3 more than the width

perimeter of a rectangle = 2l + 2w

98=2 [3+x] + 2x

98=6+2x+2x

98=6+4x

98-6=4x

92=4x

x=23

width is 23 and

breadth is 26

5 0
3 years ago
Please help i need verified please help
soldier1979 [14.2K]
The first one is true
this is the equation: y=ax
you can put one of the points on the line as x and y. for example (2,8)
8= a \times 2 \\ 8 = 2a \\ a =  \frac{8}{2}  =  4
8 0
3 years ago
Read 2 more answers
Which polygon has the most sides?<br><br> decagon<br> 20-gon<br> nonagon<br> dodecagon
e-lub [12.9K]

Answer:

decagon = 10

nonagon = 9

dodecagon = 12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
3 years ago
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
Bad White [126]
<span>Hey there, Lets solve this step by step. 
</span>
<span>"Two times the quantity of a number minus 12”

</span><span>Two times the quantity = 2 * n 
</span>
<span>number minus 12 = n - 12 
</span>
Therefore 

2n-12 

8 0
3 years ago
Read 2 more answers
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