Answer:
D. 6x2^2y^2 + 10xy^2 - 2x^2y^3
Step-by-step explanation:
The circumference of the drain to the nearest tenth is 15.10 inches.
<h3>What is the circumference?</h3>
The circumference of the drain is the distance round the drain. Since the drain has the shape of a circle, the formula used to determine the circumference of a circle would be used to determine the circumference of the drain.
Circumference of the drain = πd
3.14 x 4.8 =15.10 inches
To learn more about how to determine the circumference of a circle, please check: brainly.com/question/14351152
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Answer:
AC ≅ AE
Step-by-step explanation:
According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.
Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, <em>the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. </em>This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.
<span>To find 10 more than 451 is very simple, simply add 10 to 451 to get 461.</span>
The possible solution to the equation given is 3 and -1/3
<h3>Laws of logarithm</h3>
Given the logarithmic expression given as:
log,(8x) – log,(x^2 - 1) = log, 3
Applying the product and quotient rule will give:
log(8x/x^2-1) = log3
8x/x^2-1 = 3
Cross multiply
8x = 3x^2 - 3
3x^2 - 8x - 3 = 0
3x^2 -9x + x - 3 = 0
3x(x-3)+1(x-3)
x - 3 = 0 and 3x = -1
x = 3 and -1/3
Hence the possible solution to the equation given is 3 and -1/3
Learn more on logarithm here: brainly.com/question/25710806
