18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
<em>Third side < 8 + 15</em>
<em>Third side < 23</em>
<em>It means 3rd side must be less than 23</em>
<em>Case 2: Let 15 cm is the largest side.</em>
<em>15 < Third side + 8</em>
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
A tree grows at a rate of 15 inches per year. However, three inches were chewed off by quasi-sadistic bunnies the first year it was planted. Fortunately, the bunnies were frightened off by the garden gnomes, and did not return. As a result the tree was able to grow unencumbered for the rest of its life.
Answer:
8x² - 7x + 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(6x² - 4x + 2) - (-2x² + 3x - 5)
<u>Step 2: Simplify</u>
- Distribute negative: 6x² - 4x + 2 + 2x² - 3x + 5
- Combine like terms (x²): 8x² - 4x + 2 - 3x + 5
- Combine like terms (x): 8x² - 7x + 2 + 5
- Combine like terms (Z): 8x² - 7x + 7
Answer:
2
Step-by-step explanation:
f(x)=2x^2+9x-5
When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero
0=2x^2+9x-5
Factor the equation
0 = (2x+1) (x-5)
2*1
1*-5 = -5
2*-5 +1*1 = -9
This checks for the first last and middle terms so we factored correctly
Then using the zero product property
2x+1 = 0 and x-5 =0
2x = -1 x=5
x = -1/2 and x=5
This function crosses the x axis 2 times
14/5-5/6=84/30-25/30=59/30
59/30=1 and 29/30