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3 years ago

12

Help please I need it

1 answer:

rosijanka [135]3 years ago

3 0

The answer is A.

143 - 35/3^3

108/3^3

108/27

4

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Perpendicular Vectors:

klemol [59]

1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >, yes.

3 0

3 years ago

Lamont made a scale drawing of the elementary school. The scale of the drawing was 1 millimeter : 4 meters. The actual width of

Rina8888 [55]

Answer:

36 meters

Step-by-step explanation:

hope it helps bye

4 0

3 years ago

Read 2 more answers

Carrie walks 525 feet from her house to jay's house. Then, she walks another 280 feet in the same direction to Asia's house. Whi

earnstyle [38]

Answer:

The answer should be 525

7 0

3 years ago

What is the equation, in slope-intercept form, of the line

Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

The two solids are similar and the ratio between the lengths of their edges is 2:7 what is the ratio of their surface areas?

vovangra [49]

Answer:

The ratio of their surface areas is $\frac{4}{49}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem the scale factor is equal to the ratio $\frac{2}{7}$

and

Remember that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

therefore

In this problem the ratio of their surface areas is $(\frac{2}{7})^{2}=\frac{4}{49}$

8 0

3 years ago