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saw5 [17]
2 years ago
15

Calculate the distance between two points (-6,8) and (-8,3) ?

Mathematics
2 answers:
frutty [35]2 years ago
6 0
-8 - -6
over
3 - 8

-2 over -5 so 2/5
Furkat [3]2 years ago
3 0

Answer:

d = √29

Step-by-step explanation:

Use the distance formula d = √(x2 - x1)² + (y2 - y1)²

d = √(x2 - x1)² + (y2 - y1)²

d = √(-8 - -6)² + (3 - 8)²

d = √(-2)² + (5)²

d = √4 + 25

d = √29

You might be interested in
Select which type of polygon this figure is.
Naya [18.7K]

Answer:

D

Step-by-step explanation:

A is not correct. A trapezoid does not have 4 equal sides.

B is not correct. Same reason as A even if the trapezoid is isosceles.

C is not correct. A square has 4 equal sides and 2 sets of parallel lines and 1 right angle. That is not what this figure looks like.

D is the correct answer.

E is incorrect. A rectangle has 2 pairs of equal sides and two sets of opposite sides that are equal and parallel. It also has at least 1 right angle.

The original figure has none of these things.

6 0
3 years ago
Clodagh and Eva went school supply shopping together. Clodagh bought 3 packs of pencils and 5 notebooks for a total of $18. Eva
elena55 [62]

Answer:

each notebook costs $2.70

each pack of pencils costs $1.50

Step-by-step explanation:

system of equations:

let p = pack of pencils

let n = notebook

3p + 5n = 18

4p + 4n = 16.8

I used the elimination method by multiplying the first equation by 4 and the second equation by -3

4(3p + 5n = 18)  =  12p + 20n = 72

-3(4p + 4n = 16.8)  =  -12p -12n = -50.4

adding the new equations together you get:  8n = 21.6

n = 21.6/8

n = $2.70

solve for 'p':

3p + 5(2.7) = 18

3p + 13.5 = 18

3p = 4.5

p = $1.50

4 0
2 years ago
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
A store has ergonomic chairs on sale for 10% off of the regular price. Cayley finds a chair she wants to buy that has an origina
KatRina [158]
I think it 317.36
$325+10%=29.5+8.5%=317.36
5 0
2 years ago
What is Eight decreased by 3 times a number is 2​
algol [13]

Answer:

    8- 3x = 2 I think this is

8 0
2 years ago
Read 2 more answers
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