The simplified expressions are 2^-2 and 60^6
<h3>How to simplify the expressions?</h3>
<u>Expression (a)</u>
We have:
2^3 * 2^-5
Apply the product law of indices
2^3 * 2^-5 = 2^(3 - 5)
Evaluate the difference
2^3 * 2^-5 = 2^-2
<u>Expression (b)</u>
We have:
(60^2)^3
Apply the power law of indices
(60^2)^3 = 60^(2 * 3)
Evaluate the product
(60^2)^3 = 60^6
Hence, the simplified expressions are 2^-2 and 60^6
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Answer:
1. <B, <A, <C
2. <E, <D, <F
Step-by-step explanation:
Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.
1. <B is opposite the shortest side, 3 (smallest angle)
<A is opposite the medium side, 4 (medium angle)
<C is opposite to the largest side, 5 (largest angle)
Therefore, the angles in ascending order would be:
<B, <A, <C
2. <E is opposite the shortest side, 5 (smallest angle)
<D is opposite the medium side, 6 (medium angle)
<F is opposite to the largest side, 7 (largest angle)
Therefore, the angles in ascending order would be:
<E, <D, <F
Answer:
Step-by-step explanation:
Hello, please consider the following.
When the parabola equation is like
The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))
As the vertex is (3,-2) we can say that h = 3 and k = -2.
We need to find a.
The focus is (3,2) so we can say.
So an equation for the parabola is.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
38 legs
Step-by-step explanation:
dog=4 legs
horse=4 legs
giraffe= 4 legs
duck = 2 legs
2x4+4x4+1x4+1x2
8+16+4+2=38
