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kirza4 [7]
2 years ago
9

Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the

tangent line at this point?

Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Step-by-step explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4

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Scilla [17]

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal

6 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Allushta [10]

Answer:  proof below

<u>Step-by-step explanation:</u>

Use the Difference formula for sin:

  sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)

sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)

                    =       0  · cos(θ)    -      -1  · sin(θ)

                    =              0           -           -sin(θ)

                    =                         + sin(θ)

sin (180° - θ) = sin(θ)  \checkmark

8 0
2 years ago
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If 12 cars are needed o get 36 students to the end of the road with their packs, how many cars will be able to carry 9 students
Alina [70]

Answer:

3 cars

Step-by-step explanation:

If 12 cars are needed to carry 36 students,

<em>12</em><em>c</em><em>a</em><em>r</em><em>s</em><em> = 36</em>

the number of cars to carry 9 students will be:

xcars = 9

cross the two equations

36x = 12 X 9

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x = 108/36

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Therefore, 3 cars are needed to carry 9 students

OR

12 cars will carry 36 students

so 1 car will carry, (36/12)students

therefore, 1 car will carry 3 students

So, for 9 students,

9students = 9/3 = 3

7 0
3 years ago
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The graph of F(x) can be flipped over a certain line to produce the graph of its inverse. What is the equation of that line?
OLEGan [10]
y=x
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Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
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c

Step-by-step explanation:

5 0
2 years ago
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