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svetoff [14.1K]
3 years ago
13

P1=(-1,3) and P2=(5,-1) Find the distance from p1 to P2

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

7.21

Step-by-step explanation:

Given that:

P1=(-1,3) and P2=(5,-1)

Distance between two points :

d = Sqrt[(x2 - x1)² + (y2 - y1)²]

x1 = - 1 ; y1 = 3

x2 = 5 ; y2 = - 1

d = Sqrt[(5 - (-1))² + ((-1) - 3)²]

d = Sqrt[(5 + 1)² + (-1 - 3)²]

d = sqrt[(6)^2 + (-4)^2]

d = sqrt(36 + 16)

d = sqrt(52)

d = 7.21

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<img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B3%7D%20-%203x%20%20%7B%7D%5E%7B2%7D%20%20%2B%20%202x%20%3D%20336" id="TexFormu
mash [69]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

x³ - 3x² + 2x - 336 = 0

Find one factor of the polynomial

That's

x - 8

because when its value is equated to zero substituted into the polynomial will give you zero

Factorize x - 8 out

We have

(x - 8) ( x² + 5x + 42) = 0

x - 8 = 0

x = 8

x² + 5x + 42 = 0

Since the roots of this quadratic equation are complex and are not real numbers

<h3>x = 8</h3>

Hope this helps you

8 0
3 years ago
Uy Islari
Andru [333]

Answer:

209.43  \:  \: {units}^{3}

Step-by-step explanation:

v = \pi {r}^{2}  \frac{h}{3}  \\  = \pi \times  {5}^{2}  \times  \frac{8}{3}  \\  = 209.439

7 0
3 years ago
Need help. Anything is appreciated!
Lynna [10]

First attatchment:

1. Given

2. Definition of a parrallelogram

3. Transitive

4. Parts of line FE and AB

5. Opposite sides of a parallelogram are parallel.

You want to switch those last two because you're using what you want to prove to prove something before you've proved it, which is fallacious.

SECOND ATTATCHMENT:

In a parallelogram, opposite angles are equal and same side interior angles add up to 180.We have 2x+60+x+30=180 which means 3x+90=180 so x=30.Since x is 30 then angle to is 60 which means that angle A is 60, not 30.

THIRD ATTATCHMENT:

This is just the triangle midpoint theorem. SM is parallel to RU not VS.

FOURTH ATTATCHMENT:

Angle X and angle F are corresponding angles, so they are actually equal. You want Angle G and Angle F becuase they are same side interior angles.

FIFTH ATTATCHMENT:

this is correct

3 0
3 years ago
14 x blank x blank =169 I need help with the blanks because 169 is the face area.
luda_lava [24]
Answer:

Volume of the rectangular prism = 2366 cubic inches

Explanations:

The volume of a prism = Base Area x Height

In this case, the base area is referred to as the face area

Base area = 169 square inches

Height = 14 inches

Volume of the prism = 169 x 14

Volume of the rectangular prism = 2366 cubic inches

8 0
1 year ago
Need help on Geometry right answers only
adell [148]
The floor of the school has the shape of triangle.
So, the area of the floor is equal to the area of that triangle with base = 26 in, and height  = 33 in.
The area of triangle = 0.5 * base * height 
            = 0.5 * 26 * 33 = 429 in²

∴ The area of the floor = 429 in²
8 0
3 years ago
Read 2 more answers
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