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3 years ago

In this diagram, each square represents 1 km. What is the displacement of the car?

Mathematics

2 answers:

Brut [27]3 years ago

8 0

<h3>Answer: C) 2 km west</h3>

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

morpeh [17]3 years ago

6 0

Answer:

Step-by-step explanation:

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Plz help! Don’t understand this question

solniwko [45]

Answer:

11.91

Step-by-step explanation:

The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.

In triangle TUV, the side length created by the points VT is the hypotenuse.

For right-angle triangles, you can use the Pythagorean theorem to find any side.

It's in the format side² + side² = hypotenuse².

To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).

The lengths of other sides:

VU:

-3 is the same. The length is 3.5 - (-5.75) = 9.25

UT:

-5.75 is the same. The length is 4.5 - (-3) = 7.5

Substitute the lengths into the Pythagorean theorem:

a² + b² = c²

9.25² + 7.5² = c² Simplify

141.8125 = c² Find the square root of both sides to isolate c

c = 11.91 Final answer, length of VT

7 0

3 years ago

Which point is on the graph of f(x) = 2*5^x

vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

$f(x)=2(5^x)$

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 0$

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

$f(x)=2(5^1)\\f(x)=2(5)=10$

Compare the value of f(x) with the y-coordinate of the ordered pair

$10=10$

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 10$

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

$f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250$

Compare the value of f(x) with the y-coordinate of the ordered pair

$19,531,250\neq 1$

therefore

The ordered pair is not on the graph of f(x)

7 0

3 years ago

Equation for 52 is what percent of 260

amm1812

X/100 = 52/260
100•52=5200
5200/260 = 20

20%

7 0

3 years ago

What is the area of a square with a side of 8x^7 y^3

sukhopar [10]

Area of a square with side s is $\sf{s^2}$

In your question, the side or s is: $\sf{8x^7y^3}$

And so the area of a square with that side length would be:

$\sf{(8x^7y^3)^2}$

And using this formula: $\sf{(a^b)^c =a^{b\times c}}$

We get that the area is:

$\sf{(8x^7y^3)^2 = 8^2 x^{7\times 2} y^{3\times 2}}$

And simplifying that we get the final answer as:

$\huge{\boxed{\bf{Area=64x^{14}y^{6}}}}$

4 0

3 years ago

An adult otter weighs 0.695 kilograms. This is 650 grams more than the weigh of a baby otter. How much does a baby otter weigh i

Aleksandr [31]

Answer:

Sea otter pups measure 56 to 61 cm (22-24 in.) in length and weigh 2 to 2.3 kg (4.5-5 lb.).

4 0

3 years ago

In this diagram, each square represents 1 km. What is the displacement of the car?​

In this diagram, each square represents 1 km. What is the displacement of the car?