Mrs. Kemsley’s family always travels to a relative's
1 answer:
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The circumference of the pool is 26.38 meters
<h3>How to determine the circumference?</h3>The radius, r is given as:
r = 4.2
The circumference, C is calculated using:
This gives
C =2 * 3.14 * 4.2
Evaluate
C = 26.38
Hence, the circumference of the pool is 26.38 meters
Read more about circumference at:
#SPJ1
<h3>Answer: Choice D. </h3>
Morgan forgot to distribute the negative sign to two of the terms in the second expression.
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Explanation:
Focus on the numerators.
We have (3t^2-4t+1) as the first numerator and we subtract off (t^2+2t+2) as the second numerator.
Morgan needs to simplify (3t^2-4t+1)-(t^2+2t+2) for the numerator.
Mistakenly, she had these steps
(3t^2-4t+1)-(t^2+2t+2)
3t^2-4t+1-t^2+2t+2 .... her mistake made here
(3t^2-t^2)+(-4t+2t)+(1+2)
2t^2-2t+3
All of this applies to the numerator. The denominator stays at t+3 the entire time. So effectively we can ignore it on a temporary basis.
Here's what Morgan should have for her steps when simplifying the numerator.
(3t^2-4t+1)-(t^2+2t+2)
3t^2-4t+1-t^2-2t-2 ..... distribute the negative
(3t^2-t^2)+(-4t-2t)+(1-2)
2t^2-6t-1
Note in the second step, the negative outside flips the sign of each term in the second parenthesis.
Therefore,
which means
Side notes:
- The fractions can only be subtracted since the denominators are the same.
- We have
to avoid a division by zero error.
- Rational expressions are a fraction, or ratio, of two polynomials.
Answer:
<h3>The value of P(-1) is -1</h3><h3>∴ P(-1)=-1</h3>Step-by-step explanation:
Given polynomial is
By using the Synthetic division and remainder theorem we can solve it.
From the given P(-1) we can write it as
-1_| 2 3 -1 -3
0 -2 -1 2
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2 1 -2 -1
Hence we get the remainder -1
<h3>The value of P(-1) is -1</h3><h3>∴ P(-1)=-1</h3>