Answer:
can you give a word problem and not just a picture
Step-by-step explanation:
Step-by-step explanation:
e^(x+h) is always larger than e^x.
so the minimum function value in that interval is e⁴.
and the maximum function value in that interval is e⁶.
e⁴ = 54.59815003... ≈ 54.60
e⁶ = 403.4287935... ≈ 403.43
Yes the quotient of 9 is rational
Answer:
{8 cm, 15 cm, 17 cm}
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagoras Theorem
so
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{5 cm, 15 cm, 18 cm}
substitute in the formula
![18^2=5^2+15^2](https://tex.z-dn.net/?f=18%5E2%3D5%5E2%2B15%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 2) we have
{6 cm, 12 cm, 16 cm}
substitute in the formula
![16^2=8^2+12^2](https://tex.z-dn.net/?f=16%5E2%3D8%5E2%2B12%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 3) we have
{5 cm, 13 cm, 15 cm}
substitute in the formula
![15^2=5^2+13^2](https://tex.z-dn.net/?f=15%5E2%3D5%5E2%2B13%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 4) we have
{8 cm, 15 cm, 17 cm}
substitute in the formula
![17^2=8^2+15^2](https://tex.z-dn.net/?f=17%5E2%3D8%5E2%2B15%5E2)
----> is true
therefore
Sean can make a right triangle with this set of lengths