Given u = −5i + 2j, v = −6i + 4j, find −2u + 2v

Mathematics

1 answer:

Burka [1]3 years ago

4 0

Answer:

$\huge\boxed{-2i+4j}$

Step-by-step explanation:

$u=-5i+2j\\\\v=-6i+4j\\\\-2u+2v=-2(-5i+2j)+2(-6i+4j)\\\\\text{use the distributive property}\\\\=(-2)(-5i)+(-2)(2j)+(2)(-6i)+(2)(4j)\\\\=10i-4j-12i+8j\\\\\text{combine like terms}\\\\=(10i-12i)+(-4j+8j)\\\\=-2i+4j$

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From the top of an apartment building, the angle of depression to a car parked on the street below is 32 degree. The car is park

Citrus2011 [14]

Answer: The height of the building = 56 feet.

Step-by-step explanation:

Let AB be the height of the building and BC be the distance of the car from the building on the ground.

Now , ∠ C = 32° [Alternate interior angles ]

According to the trigonometry,

$\tan x =\dfrac{Perpenicular}{base}\\\\\Rightarrow\ \tan 32^{\circ} =\dfrac{AB}{90}\\\\\Rightarrow\ 0.6248693519=\dfrac{AB}{90}\\\\\Rightarrow\ AB = 90\times 0.6248693519=56.238241671\approx56$

Hence, the height of the building = 56 feet.

6 0

3 years ago

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Savatey [412]

Answer:

cool dude surface of area cylinder of circle surface

5 0

3 years ago

*I WILL MARK YOU BRAINLIEST!!!!!*

AlekseyPX

<h2> Answer:</h2>

-3

Explanation:

Rate of change in the interval

X=0 to X=3 is given by,

 $r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....$ 