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3 years ago

PLEASE HELP FAST

Mathematics

1 answer:

skad [1K]3 years ago

8 0

Answer:

The unit vector u is (-5/√29) i - (2/√29) j

Step-by-step explanation:

* Lets revise the meaning of unit vector

- The unit vector is the vector ÷ the magnitude of the vector

- If the vector w = xi + yj

- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w

- The unit vector u in the direction of w is u = w/IwI

- The unit vector u = (xi + yj)/√(x² + y²)

- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j

* Now lets solve the problem

∵ v = -5i - 2j

∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29

- The unit vector u = v/IvI

∴ u = (-5i - 2j)/√29 ⇒ spilt the terms

∴ u = (-5/√29) i - (2/√29) j

* The unit vector u is (-5/√29) i - (2/√29) j

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slavikrds [6]

Answer:

(- 1, - 1 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is

(- 3, - 3 ) → ( $\frac{1}{3}$ × - 3, $\frac{1}{3}$ × - 3 ) → (- 1, - 1 )

6 0

3 years ago

Factor the following polynomial written in standard form. B^2-14B+49

Vladimir79 [104]

After factoring $B^2-14B+49$ we get $(B-7)(B-7)$

Step-by-step explanation:

We need to factorize the polynomial:

$B^2-14B+49$

Factorization is done by breaking the middle term such that the sum is equal to the middle value of polynomial and product is equal to product of first and last term in the polynomial.

So, Factorizing:

$B^2-14B+49\\=B^2-7B-7B+49\\=B(B-7)-7(B-7)\\=(B-7)(B-7)$

So, After factoring $B^2-14B+49$ we get $(B-7)(B-7)$

Keywords: Factorization, Factors

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#learnwithBrainly

8 0

3 years ago

For the following question, find the area of the triangle. give the answer to the nearest tenth. The drawing may not be to scale

Alina [70]

Answer:

Option A

10.5 m²

Step-by-step explanation:

The area of a triangle is half the product of its base by its height.

$A = 0.5bh$

Where b is the base and h is the height.

In this triangle b = 6.1 m.

The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.

We do not know this length. But this line h divides the triangle into two rectangular triangles.

So for these two triangles the angle that is opposite to the height h is: 47 °

Therefore we know that senx is defined as:

$senx =\frac{opposite side}{hypotenuse}$

Where:

Opposite side = h

hypotenuse = 4.7 m

x = 47

$Sin(47) = \frac{h}{4.7}\\\\h = (sin47)(4.7)\\\\h = 3.437$

Finally, the area is:

$A = 0.5(3.437)(6.1)\\\\A = 10.5m^2$

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3 years ago

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nexus9112 [7]

Answer:

An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included (equal to).

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Step-by-step explanation:

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Bas_tet [7]

Answer:

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Step-by-step explanation:

How I got the answer 261 is I multiplied 60 by 2. And then, I added 43. The next step is 60+ 38 because The question wanted to know what was her total flight time. . So your final step to the answer it to divide 261 by 60. so then u get 4.21 as your answer.

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3 years ago