All categories

2 years ago

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

Mathematics

1 answer:

weeeeeb [17]2 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:

You might be interested in

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.

Agata [3.3K]

3 because the 2z minus the 3 gives you 1 rounded

4 0

2 years ago

Read 2 more answers

There are already 1,200 gallons of water in a swimming pool. If water is filling the pool at a rate of 30 gallons per minute, wh

Alika [10]

Answer:

n = 30m + 1,200

Step-by-step explanation:

let n = gallons

m = minutes

There are 30 gallons per minute, so 30 is multiplied by the minutes, and because there are already 1,200 gallons of water, you add 1,200

4 0

2 years ago

The expression 2.5 + 2t gives the cost, in dollars, of t tulips at a flower store. Joanna has $14.00.

Elena-2011 [213]

Answer:

5 tulips.

Step-by-step explanation:

Given:

The expression for the cost of the tulips is $Cost=2.5+2t$

Where, $t$ is the number of tulips.

Now, Joanna has $\$ 14.00$ .

So, number of tulips that can be bought with the above amount can be obtained by substituting $\$ 14.00$ for cost. This gives,

$Cost=2.5+2t\\14=2.5+2t\\2t=14-2.5\\2t=11.5\\t=\frac{11.5}{2}=5.75 \approx 5$ .

As the number of tulips cannot be in decimals or fractions, so the maximum number of tulips that can be bought will be 5.

6 0

2 years ago

Ryan drinks 10 liters of water in a week. How much liters of water he consumes each day?

exis [7]

Answer: 1.428 lts of water each day.

1 week includes 7 days so we can say,

7 days --> 10 liters of water

1 day --> 10/7 liters of water

= 1.428 liters of water

Brainliest pls if it was correct!

7 0

2 years ago

A heavy rope, 30 ft long, weighs 0.4 lb/ft and hangs over the edge of a building 80 ft high. Approximate the required work by a

gizmo_the_mogwai [7]

Answer:

180 fb*lb

45 ft*lb

Step-by-step explanation:

We have that the work is equal to:

W = F * d

but when the force is constant and in this case, it is changing.

therefore it would be:

$W = \int\limits^b_ a {F(x)} \, dx$

Where a = 0 and b = 30.

F (x) = 0.4 * x

Therefore, we replace and we would be left with:

$W = \int\limits^b_a {0.4*x} \, dx$

We integrate and we have:

W = 0.4 / 2 * x ^ 2

W = 0.2 * (x ^ 2) from 0 to 30, we replace:

W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)

W = 180 ft * lb

Now in the second part it is the same, but the integral would be from 0 to 15.

we replace:

W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)

W = 45 ft * lb

6 0

2 years ago