The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula for this relationship is shown.

George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),

GarryVolchara [31]

The coordinates of triangle A′B′C′ is A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

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6 0

2 years ago

Height of a parallelogram is half it's base.if it's area is 200 sq cm.find it's height and base.

Scilla [17]

Answer:

Step-by-step explanation:

4 0

4 years ago

What's the weight/answer

DerKrebs [107]

I would assume that you convert 2.5 ounces into punds which would make it 0.15 lbs.

8 0

3 years ago

Read 2 more answers

Which logarithmic equation is equivalent to the exponential equation below? E^a=35

oee [108]

Answer:

a = ln 35

Step-by-step explanation:

Given e^a = 35, take the natural log of both sides, obtaining:

ln e^a = ln 35. Recall that ln e^x = x, which means that ln e^a = a.

Then a = ln 35.

Next time, please share the answer choices!

7 0

3 years ago

Read 2 more answers

Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el

sergiy2304 [10]

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

$= 30/100 \ of \ x\\= 0.3x$

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

$= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x$

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

$=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x$

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

$= 106.48-79.86\\= 26.62$

3 0

3 years ago