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3 years ago

Vectors U and V are shown on the graph (The graph with letters U and V)

Mathematics

1 answer:

kolezko [41]3 years ago

5 0

Answer:

see attached

Step-by-step explanation:

The vector difference u -v can be represented on a vector diagram by the sum u +(-v), where -v is a vector the same length as v, but in the opposite direction.

This sum is shown in the attachment.

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Daniella has a box of 525 markers that she wants to share with 15 of her friends. If each of her friends gets the same number of

Semenov [28]

Answer:

Each friend will get 35 markers

Step-by-step explanation:

525 / 15 = 35

6 0

3 years ago

a motorboat travels 371 kilometers in 7 hours going upstream. it travels 525 kilometers going downstream in the same amount of t

e-lub [12.9K]

Answer:

Speed of boat in still water = 64 km/hr

Speed of the current = 11 km/hr

Step-by-step explanation:

Let the speed of motorboat in still water = x km/hr

Let the speed of current = y km/hr

Motorboat travels 371 km in 7 hours going upstream.

Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)

=> $x-y = \frac{371}{7}$

=> $x-y = 53$ ------------------------------(1)

Motorboat travels 525 km in 7 hours going downstream.

Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)

=> $x+y = \frac{525}{7}$

=> $x+y = 75$ -----------------------------(2)

Solving for x and y from (1) and (2):

Adding (1) and (2):

2x = 128

=> x = 64

Substituting the value of x in (1), y = 11

6 0

3 years ago

Graph inequality by shading like x< 3 is shaded to right or left ? of 3

Scilla [17]

Answer:

x<3 means x is less than 3.

Think about a number line, the more left you go, the smaller the numbers get.

So, to represent x<3, you would shade to the left.

Let me know if this helps!

8 0

3 years ago

Which 2 values of x are roots of the polynomial below?

Alexxx [7]

Given:

The given polynomial is:

$f(x)=$ $3x^{2}-3x+1$

To find the roots of the given polynomial.

To find the roots we have to take $f(x) = 0$

So,

$3x^{2} -3x+1 = 0$

Formula

By quadratic formula, the root of the equation $ax^{2} +bx+c = 0$ is,

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2} -4ac} }{2a}$

Now,

Putting, $a=3, b=-3, c=1$ we get,

$x = \frac{3+\sqrt{3^{2}-4(3)(1) } }{(2)(3)}$ and $\frac{3-\sqrt{3^{2}-4(3)(1) } }{(2)(3)}$

$x = \frac{3+\sqrt{-3} }{6}$ and $x=\frac{3-\sqrt{-3} }{6}$

Hence,

The values of the roots of the given polynomial are $x=\frac{3+\sqrt{-3} }{6}$ and $x=\frac{3-\sqrt{-3} }{6}$

Hence, Option A and F are the correct answer.

5 0

3 years ago

Please answer this question !! Thank you !! Will give brainliest !! Really important !!

Kobotan [32]

Answer:

0 = 3x -2y -6

Step-by-step explanation:

The general form of the equation of a line is 0 = Ax + By + C

y = 3/2x -3

Subtract y from each side

0 = 3/2x -y -3

Multiply each side by 2

0 = 3x -2y -6

8 0

4 years ago