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WINSTONCH [101]
3 years ago
12

Which set of numbers CANNOT represent the lengths of the sides of a triangle?

Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

C

Step-by-step explanation:

The general rule is that any 2 must exceed the third in order for a triangle to form. If any one is an exception, it won't work.

A will form a triangle. Any 2 exceeds the third.

B also forms a triangle. Same rule.

C  does not work. 7 + 11 = 18 which is the value of the third leg.

D words Any two exceeds the 3rd.

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3
ololo11 [35]

Answer:

(n- 2/3)²

Step-by-step explanation:

  • <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>

We have:

  • n² - 4n/3

It can be put as:

  • n² -2×n×2/3

Here we consider n = a and -2/3 = b, then

  • b²= (-2/3)²= 4/9

Now we add 4/9 to a given binomial to make it perfect square:

  • n² - 2×n×3/2 + 4/9= (n- 2/3)²

So, added 4/9 and got a perfect square (n- 2/3)²

7 0
3 years ago
Just Need A Few Questions Answered To Finish My Quiz, Any Help Would Be Much Appreciated.
kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

\frac{4}{8}=\frac{1}{2}

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

R''(1,-2)

Part C:

PQR is congruent to P''Q''R''?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

Then the triangles are not congruent

8 0
1 year ago
A hockey team's morning workout schedule consists of 15 minutes of warm-ups, 30 minutes of weight training, and 20 minutes of ae
borishaifa [10]
Hello! The ratio would be 15 minutes warm ups: 65 minutes total workout.

To simplify this: 3:13 ratio. (Divided 15 by 5 and 65 by 5)
6 0
3 years ago
Read 2 more answers
Find the domain of the graphed function
Natasha2012 [34]
The answer is D because the two points are in x-value -1 and 3
5 0
3 years ago
Can someone please show steps for this? i tried using a calculator but there was no fog sign thing.
sattari [20]

Answer:

(f о g)(0) = 24

Step-by-step explanation:

f(x) = -5x - 1

g(x) = x² - 5

When you see (f о g)(#), they want you to plug the function g(x) into the function f(x).

First find g(0).

g(0) = (0)² - 5

g(0) = 0 - 5

g(0) = -5

Now plug g(0) = -5 into f(x) by replacing all x's with -5.

(f о g)(0) = -5(-5) - 1

Multiply.

(f о g)(0) = 25 - 1

Subtract.

(f о g)(0) = 24

6 0
3 years ago
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