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saveliy_v [14]
3 years ago
6

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line con

taining the points of tangency.
Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

y=-x+r

Step-by-step explanation:

we know that

The tangency point on the x-axis is  (r,0)

The tangency point on the y-axis is  (0,r)

Find the slope of the line containing the points of tangency

m=\frac{0-r}{r-0}=-1

Remember that the equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

m=-1

b=r

substitute

y=-x+r

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In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
DochEvi [55]

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0
3 years ago
PLEASE HELP ASAP THANKS!
Vladimir [108]

Answer:

answer is 8$ have a great day

Step-by-step explanation: BRAINLIEST PLEASE

6 0
3 years ago
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Find the value of x in the picture
Hunter-Best [27]

Answer: x=128\°

Step-by-step explanation:

It is important to remember the following:

Angle\ formed\ by\ two\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)

In this case you can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.

Therefore, the value of "x" is this:

x=\frac{1}{2}(202\°+54\°)\\\\x=\frac{1}{2}(256\°)\\\\x=128\°

6 0
3 years ago
Right equation of the line that passes through (-1,5) and has a slope of 3 in point slope form.
MrRissso [65]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
%  (a,b)
&&(~ -1 &,& 5~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=3[x-(-1)]
\implies 
y-5=3(x+1)
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Andreas93 [3]

Answer:

ANSWER IS 1,050

Step-by-step explanation:

You take 1,500 and multiply it by 70%

Hope this helps

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3 years ago
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