f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.
<h3>What is the required remainder?</h3>
Given that f(x) is divided by (x+a) and leaves a reminder
Using the remainder theorem for polynomials we get,
f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.
Put x = -a, then
f(-a) = (-a+a)·g(-a) + r
f(-a) = (0)·g(x) + r
f(-a) = r
f(-a) is the remainder.
Hence f(-a) is the remainder when f(x) is divided by (x+a).
Learn more about remainder theorem here:
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Answer: Number 1
Step-by-step explanation:
Set up a porportion,
3/5 hours / 2/5 square yards
1 hour / x square yards
simplify by cross multiplying
3/5x <span>= 2/5(1).
</span>3/5x <span>= 2/5.
</span> 3/5/3/5x = <span>2/5/3/5
x </span><span>= 10/15
</span>x <span>= 2/3
</span><span>
so she can paint </span><span>2/3 square yards in 1 hour. hope this helps!</span><span>
</span>
Answer:
x is 1 y is 1 and a is 1 hope this helped
Answer: The length of BD is 2.4
Step-by-step explanation: BD is a leg of a right triangle, so use the
Pythagorean Theorem a² + b² = c²
BC is the hypotenuse here, so that is c = 3
We can use the segment CD as side b = 1.8
We will call BD side a, and solve to find that length.
a² + (1.8)² = 3² Square the known values of b and c
a² + 3.24 = 9 Subtract 3.24 from both sides.
a² = 9 - 3.24 Simplify
a² = 5.76 Find the square root of both sides (Calculator time!)
a = 2.4
