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Sonbull [250]
3 years ago
5

What name best describes a pencil a line segment or parallel lies or a point or a ray

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0
The answer would be line segment.
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0.355555555... as a fraction
Pie

Answer:

7111/2000...........

5 0
3 years ago
Point R lies on the directed line segment from L (-8,-10) to M (4,-2) and partitions the segment in the ratio 3 to 5. What are t
Dvinal [7]

Answer:

R = (- 3.5, - 7 )

Step-by-step explanation:

Using the Section formula

x_{R} = \frac{3(4)+5(-8)}{3+5} = \frac{12-40}{8} = \frac{-28}{8} = - 3.5

y_{R} = \frac{3(-2)+5(-10)}{3+5} = \frac{-6-50}{8} = \frac{-56}{8} = - 7

Thus coordinates of R = (- 3.5, - 7 )

7 0
3 years ago
Read 2 more answers
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
How to do I solve this
padilas [110]
4. 2b-6+3b=
5b-6=143
5b=143+6
5b=149

b=149
    ------
       5
5 0
3 years ago
30x10-91x3-30 factorizar
Mrrafil [7]

Answer:

(3x5 - 10) • (10x5 + 3)

Step-by-step explanation:

4 0
3 years ago
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