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Romashka-Z-Leto [24]
2 years ago
9

Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral t

riangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S​
Mathematics
1 answer:
solniwko [45]2 years ago
6 0

Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

<em>Additional comment</em>

It is impossible to specify an equilateral triangle using rational coordinates.

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HELP!!!! Choose the correct answer. Which expression, when evaluated,
blagie [28]

We will check each options and verify it

(a)

18-2m

we can plug m=2

18-2\times 2

18-4

14

so, this is FALSE

(b)

7x-\frac{x}{3} >19

we can plug x=3

7\times 3-\frac{3}{3} >19

21-1 >19

20 >19

so, this is TRUE

(c)

6x-1>4x+5

we can plug x=3

6\times 3-1>4\times 3+5

18-1>12+5

17>17

so, this is FALSE

(d)

2x^2-3x+1

now, we can plug x=2

2(2)^2-3(2)+1

8-6+1

3

So, this is FALSE

8 0
3 years ago
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordin
fenix001 [56]

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

3 0
3 years ago
Help plzzzzzzz i really need it
Oliga [24]

Answer:

2n+2*3-6n

(-2*-3)+4n-(4n*2)

3 0
3 years ago
Henry wants to buy a new table saw for his carpentry shop. He has saved $360 which is 2/3 of the price of the saw. How much does
Tema [17]

If 360 is 2/3 of the full price on a saw then your equation should look like this:

360=\frac{2}{3} *x

x is your unknown full price of the saw. Just solve for x now.

360=\frac{2}{3} *x\\ \\ x=\frac{3}{2} *360=540

This means that the full price is $540.

Hope this helps!

5 0
3 years ago
Breadth
Stolb23 [73]

Answer:

Volume of a cuboid = (length × breadth × height) cubic units.

= (l × b × h) cubic units.

(Since area = ℓ × b)

Volume of a cuboid = area of one surface × height cubic units

Let us look at the given cuboid.

The length of the cuboid = 5 cm

The breadth of the cuboid = 3 cm

The height of cuboid (thickness) = 2 cm

The number of 1 cm cubes in the given cuboid = 30 cubes = 5 × 3 × 2

We find that volume of the given cuboid with length 5 cm, breadth 3 cm and height 2 cm is 30 cu cm.

6 0
2 years ago
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