The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
The answer is C, slope = -5; point = (-3, 4).
The point slope form of a line is y - y₁ = m (x - x₁), with (x₁, y₁) being the coordinates of one of the points of a line. Here, the first step is to find out what the slope is. The slope is the value in front of (x + 3), which is -5. Now we need to find the coordinates of the point. Since -y₁ is equal to -4, the coordinate of the y value is 4. Now onto the x value. Since -x₁ = 3, the coordinate of the x value is -3. That means that the answer is C, slope = -5; point = (-3, 4).
Answer:6.75π
Step-by-step explanation:
Since the equation is πrh, it will be π(1.5)(3)
Which is 6.75π in terms of π.
Answer: see below
Step-by-step explanation:
11.3x=15-2x
We move all terms to the left:
11.3x-(15-2x)=0
We add all the numbers together, and all the variables
11.3x-(-2x+15)=0
We get rid of parentheses
11.3x+2x-15=0
We add all the numbers together, and all the variables
13.3x-15=0
We move all terms containing x to the left, all other terms to the right
13.3x=15
x=15/13.3
x=1+1/7.8235294117647
