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2 years ago

A room is 96 ft long, 18 ft wide, and 27 ft high.

Mathematics

1 answer:

ch4aika [34]2 years ago

6 0

Answer:

the norm of the distance is |d|=97.95 ft

the vector of the distance is d=96i+18j+27k

Step-by-step explanation:

As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.

Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.

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Musya8 [376]

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2 years ago

What is the equation of the line that is parallel to the line y = - 1/3x + 4 and passes through the point (6, 5)?

Lostsunrise [7]

Answer:

$y=-\frac{1}{3}x+7$

Step-by-step explanation:

we know that

If two lines are parallel then their slopes are equal

The equation of the given line is

$y=-\frac{1}{3}x+4$

the slope is $m=-\frac{1}{3}$

the slope of the parallel line to the given line is also $m=-\frac{1}{3}$

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we have

$m=-\frac{1}{3}$

$point\ (6,5)$

The equation of the line in point slope form is

$y-y1=m(x-x1)$

substitute

$y-5=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-5=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+5$

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2 years ago

6.5 + (−2) + 10.5 I could probably do this but its kind of hard to understand. Explain?

elena-s [515]

Hello! Let's work this problem from left to right to make things a bit easier ;)

6.5+(-2) is the same as 6.5-2, since adding a negative is the same as subtracting a positive. 6.5-2=4.5

Now, we have to add 10.5 to 4.5, which gives us the grand total of 15. I hope this helped! Let me know if you need anything else!

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2 years ago

Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e

ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r

F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

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2 years ago

Evaluate the following expression for z = -3.<br> -z^6<br> I’m literally so bad at this please help

Kipish [7]

Step-by-step explanation:

${ - z}^{6} \\ z = - 3$

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= -1 × 729

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2 years ago