2 years ago

6. Explain the difference between “4 times the sum of x and y” and “the sum of 4 times x and y

Mathematics

1 answer:

ANEK [815]2 years ago

8 0

Answer:

Step-by-step explanation:

"4 times the sum of x and y" is 4(x+y). " the sum of 4 times x and y" is 4x+y.

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What is the constant term in (2x+9)(x-4)(x+5)

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$-180$

Step-by-step explanation:

$\left(2x+9\right)\left(x-4\right)\left(x+5\right)$

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A man bought a refrigerator, an air conditioner, a TV set and a gas cooker for $150.00, $400.00, $180.00 and $300.00 respectivel

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I hope this helps you :)

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3 years ago

Find two unit vectors orthogonal to both given vectors. i j k, 4i k

Maurinko [17]

The cross product of two vectors gives a third vector $\mathbf v$ that is orthogonal to the first two.

$\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k$

Normalize this vector by dividing it by its norm:

$\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)$

To get another vector orthogonal to the first two, you can just change the sign and use $-\mathbf v$ .

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3 years ago

as shown in the diagram below, a building cast a 72 foot shadow on the ground when the angle of elevation of the sun is 40 degre

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Answer:

Step-by-step explanation:

It is just 60 I did my work lol

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