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4 years ago

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Two circles that have l as a common internal tangent.

2 answers:

KatRina [158]4 years ago

6 0

<span>Two circles that have l as a common internal tangent are B and C.
</span>

vampirchik [111]4 years ago

6 0

I hope this helps you

B and C

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A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel

Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

$x_{Sh} = x_{o} + v_{Sh}\cdot t$

Submarine

$x_{Su} = x_{o}+v_{Su}\cdot t$

Where:

$x_{o}$ - Position of Diego Garcia island, measured in miles.

$x_{Sh}$ , $x_{Su}$ - Current positions of ship and submarine, measured in miles.

$v_{Sh}$ , $v_{Su}$ - Velocities of ship and submarine, measured in miles per hour.

$t$ - TIme, measured in hours.

If we know that $x_{Sh} - x_{Su} = 241\,mi$ , $v_{Sh} = 19\,\frac{mi}{h}$ and $t = 7\,h$ , then:

$x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t$

We clear now the velocity of submarine:

$\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}$

$v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}$

$v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}$

$v_{Su} = -15.429\,\frac{mi}{h}$

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0

3 years ago

The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.

Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: $(x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$

<em>Where</em>,

$(x_m, y_m)$ = coordinates of the midpoint

$(x_1, y_1)$ = coordinates of the first point

$(x_2, y_2)$ = coordinates of the second point

Given the following:

$(x_m, y_m)$ = M( 6,-4)

$(x_1, y_1)$ = G(8,-2)

$(x_2, y_2)$ = H(?, ?)

Plug in the values into the midpoint formula

$M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )$

Solve for the x-coordinate and y-coordinate separately

$6 = \frac{8 + x_2}{2}$

Multiply both sides

$6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}$

$-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}$

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0

2 years ago

What is the answer I'm confused and I don't know how to do it

ira [324]

C is 50 cents because 2 dollars divided by 4 is 50

6 0

3 years ago

Read 2 more answers

Angie is 11 which is three years younger than four times her sisters age

solong [7]

A=Angie
S=Sister

A=4*S-3

4 0

3 years ago

Read 2 more answers

A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mazyrski [523]

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

4 0

3 years ago