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3 years ago

12

9m + 7n2 - 4 + 6m + 5

1 answer:

Ksivusya [100]3 years ago

8 0

Answer:

15m+7n2+1

Step-by-step explanation:

You can add 9m and 6m. Then you will get 15m. Then you would add -4 and 5, you would get 1. So the new equation would be the answer. Since 7n2 doesn’t have another variable to connect to.

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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 $-\mathbf v$ .

6 0

3 years ago

ANSWER QUICK AND I WILL MAKE YOU BRAINLIEST

alekssr [168]

Answer:

The width of the window should be $7.6\ ft$ and the height of the window should be $3.8\ ft$

Step-by-step explanation:

we know that

The circumference of a semicircle (window) is equal to

$C=\pi r$

we have that

$C=12\ ft$

$\pi=3.14$

substitute and solve for r

$12=(3.14)r$

$r=12/3.14=3.8\ ft$

so

the width of the window is equal to the diameter of the semicircle

so

The width of the window should be $3.8*2=7.6\ ft$ and the height of the window should be $3.8\ ft$

4 0

3 years ago

1 yard =3 feet & 1 foot = 12 inches <br><br>16 in= ?

Aleksandr-060686 [28]

Answer:

IDK

Step-by-step explanation:

SKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSK

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3 0

3 years ago

Read 2 more answers

Evaluate the variable expression when a=-4, b=2, c=-3, and d =4. b-3a/bc^2-d

gtnhenbr [62]

Answer:

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

$\dfrac{b-3a}{bc^{2}-d}=1$

Step-by-step explanation:

Evaluate:

$\dfrac{b-3a}{bc^{2}-d}$

When a=-4, b=2, c=-3, and d =4

Solution:

Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get

$\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\$

$\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1$

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

$\dfrac{b-3a}{bc^{2}-d}=1$

6 0

3 years ago

Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per

Hitman42 [59]

plane 1 travels 395 miles in 1 hour

plane 2 travels 422 miles in 1 hour

together, they travel (395+422) 817 miles in 1 hour

to have 2451 miles between then, they'd need to travel

$\frac{2451 miles}{817 miles}=3$

so in 3 hours, they'll be 2451 miles apart

3 0

3 years ago