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Vlad [161]
3 years ago
9

Determine the linear equation from the following table

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

I don't know I'm just answering questions because i need points

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A triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle
yan [13]

The perimeter of the triangle is 15.4 units.

<u>Step-by-step explanation:</u>

The triangle has vertices at (-1,5), (4,2), and (0,0).

To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.

Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

<u>The distance formula is given by :</u>

⇒ \sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

<u>Distance of AB :</u>

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ \sqrt{(4+1)^{2}+(2-5)^{2}  }

⇒ \sqrt{5^{2}+-3^{2}  }

⇒ \sqrt{25+9}

⇒ \sqrt{34}

⇒ 5.8

∴ The length of the side AB of the triangle is 5.8 units.

<u>Distance of BC :</u>

B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ \sqrt{(0-4)^{2}+(0-2)^{2}  }

⇒ \sqrt{16+4  }

⇒ \sqrt{20}

⇒ 4.5

∴ The length of the side BC of the triangle is 4.5 units.

<u>Distance of CA :</u>

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ \sqrt{(-1-0)^{2}+(5-0)^{2}  }

⇒ \sqrt{1+25}

⇒ \sqrt{26}

⇒ 5.1

∴ The length of the side CA of the triangle is 5.1 units.

Now, the perimeter of the triangle is given by :

Perimeter = Sum of the lengths of all three sides of the triangle.

⇒ 5.8 + 4.5 + 5.1

⇒ 15.4 units.

∴ The perimeter of the triangle is 15.4 units.

4 0
3 years ago
PLEASE HELP ME AND EXPLAIN<br> What is the side length of a cube with a volume of 1728 mm3?
Leno4ka [110]
Volume of a cube = a³ = 1728
a = ³√1728
a = 12 mm

In short, Your Answer would be 12 mm

Hope this helps!
3 0
3 years ago
Solve using square roots 3x^2+25=73
seropon [69]
Heya !

Given expression -

3 {x}^{2} + 25 = 73

Subtracting 25 both sides ,

3 {x}^{2} + 25 - 25 = 73 - 25 \\ \\ 3 {x}^{2} = 48

Dividing by 3 on both sides ,

\frac{3 {x}^{2} }{3} = \frac{48}{3} \\ \\ {x}^{2} = 16

Therefore ,
x = + \: 4 \: \: \: \: or \: \: - 4 \: \: \: \: \: \: \: Ans.
4 0
4 years ago
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only $3.
Anastasy [175]

Given that sandwiches are made with either turkey or ham.

Prob for turkey or ham = 1/2

The fruit can be either apple or orange. Hence p(apple) = p(orange) =12

Drinks can be either bottled water or juice

P(water) = P(juice) = 1/2

We find that sandwiches, fruits, and drinks are mutually independent of each other.

Hence the probability you will get an orange and not get juice in your box

Prob (you get an orange and bottled water)

= Prob (orange) *Prob (bottled water) (since the two are independent

= 1/2 (1/2)= 1/4

Hence answer is 0.25



8 0
4 years ago
Pleasee helpp. Find all missing angles.<br>​
QveST [7]

Answer:

1-51

2-18

3-123

4-39

Step-by-step explanation:

8 0
3 years ago
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