Answer:
7.8 cm and 25.3 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² + 7² = 10.5²
?² + 49 = 110.25 ( subtract 49 from both sides )
?² = 61.25 ( take the square root of both sides )
? = ≈ 7.8 cm ( to 1 dec. place )
Then
P = 10.5 + 7 + 7.8 = 25.3 cm
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
And we want to find the remainder after it is divided by the binomial:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
The remainder will be 6.