To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this:
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
<u> x -4 </u>
x - 6 | x² - 10x + 24
<u> </u><span><u>x² - 6x</u>
</span> 0 - 4x + 24
<span><u>-4x - 24</u>
</span> 0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!
The answer is √91 feet (which is the same as 9.54 feet).
Imagine this as a right triangle. A length of the foot is actually a hypotenuse (c). The distance from wall's base to the ladder foot is one of the sides of the triangle (let it be a).
So, using the Pythagorean theorem:
c² = a² + b²
It is given:
c = 10 feet
a = 3 feet
b = ?
c² = a² + b²
⇒ 10² = 3² + b²
100 = 9 + b²
b² = 100 - 9 = 91
⇒ b = √b² = √91 ≈ 9.54 feet
Answer:
Yes, her calculation is correct. The value of 40% of 75 is 30.
Step-by-step explanation:
The value of 40% of 75 is
The value of 
of 75 is
From the above calculation it is noticed that the value of 40% of 75 and of 75 are same, therefore the calculation is correct and the value of 40% of 75 is 30.
Answer:
Step-by-step explanation:
