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3 years ago

What changes would you make in your description of point, line, and plane?

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

Answer:

Here's a quick sketch of how to calculate the distance from a point P=(x1,y1,z1)

(

)

to a plane determined by normal vector N=(A,B,C)

(

)

and point Q=(x0,y0,z0)

(

)

. The equation for the plane determined by N

and Q

is A(x−x0)+B(y−y0)+C(z−z0)=0

(

−

)

(

−

)

(

−

)

, which we could write as Ax+By+Cz+D=0

, where D=−Ax0−By0−Cz0

−

This applet demonstrates the setup of the problem and the method we will use to derive a formula for the distance from the plane to the point P

Step-by-step explanation:

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Clarence ran 15 in 120 minutes. If he always runs, how long will it take for him to run 6 miles? How fast does Clarence run per

dezoksy [38]

Well i did 120/15 and got 8 so he runs a mile every 8 minutes about. so you do 8 x 6 because he has to run 6 miles and bam 48 it takes him 48 minutes to run 6 miles. he runs about (.125) miles an hour ( i was assuming you meant 15 miles in 120 minutes)

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3 years ago

For EACH ordered pair, determine if its a solution to 2x+9y=13

vladimir1956 [14]

The answer is (2,1). 2*2=4 and 9*1=9. 9+4=13

8 0

3 years ago

10 - 9 x 5 + 6 x (-2)

olya-2409 [2.1K]

Answer:

The answer to your equation is -47.

Step-by-step explanation:

Follow the order of operations. First do 9*5=45, and 6*-2 to get -12. Next, just finish the equation from left to right to get -47.

5 0

3 years ago

Read 2 more answers

Based on a survey, assume that 38% of consumers are comfortable having drones deliver their purchases. Suppose that we

Maslowich

Answer:

$n = 4$

$x = 2$

$p = 38\%$

$q = 62\%$

Step-by-step explanation:

Required

Find n, x, p and q

n always represent the population surveyed;

So:

$n = 4$

x represents the sample from the population

So:

$x = 2$

p always represents the given proportion

$p = 38\%$

Solving for q

$p + q = 1$

$q = 1 - p$

$q = 1 - 38\%$

$q = 62\%$

5 0

3 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

5 0

2 years ago