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2 years ago

A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Mathematics

1 answer:

valkas [14]2 years ago

7 0

Answer:

Step-by-step explanation:

For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.

So, by the triangle inequality theorem, 1+x>8, which means x>7.

So, the smallest possible whole number length is 8.

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Solve the inequality for b.<br><br>4b - 12 -5b < 9b + 8

ValentinkaMS [17]

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

8 0

3 years ago

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. 3 + x - 3x2 = 9

Triss [41]

To <span>transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)</span>²=-71/36

the answer is:
1/36(6x-1)²=-71/36

7 0

3 years ago

What is the next term in the sequence?

Whitepunk [10]

Answer:

3750

Step-by-step explanation:

each number is being multiplied by five

6*5=30

30*5=150

150*5=750

750*5= 3750

6 0

3 years ago

I ran 13 miles in 2 1/4 hours. What was my average speed? (It has to be done using proportions) I don't need the answer, I need

alina1380 [7]

2 1/4 hours=2.25 hours

ran 13 miles in 2.25 hours, so I just need to take 13 miles divided for 2.25 which equal 5 7/9. As a result, my average speed is 5 7/9 miles per hour. Hope it help!

6 0

3 years ago

This question has two parts. Be sure to answer both parts of the question. One inequality in a system is shown below. -12x + 3y

fgiga [73]

The inequality is -12x + 3y > 9.

PART A:

The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.

Thus inequality for no solution is, -12x + 3y < 9.

PART B:

For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,

$\begin{gathered} (-12x+3y>9)\times-1 \\ 12x-3y$

Thus inequality for infinite many solution is 12x - 3y < -9.

7 0

1 year ago