Step-by-step explanation:
A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. ... Logarithms even describe how humans instinctively think about numbers.
Answer:
-a(a+4)/(16 - a²)
Step-by-step explanation:
a/(a - 4) Multiply by (a + 4)/(a + 4)
= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms
= a(a + 4)/(a² - 16) Multiply by -1/(-1)
= -a(a+4)/(-a² + 16) Reorder terms in denominator
= -a(a+4)/(16 - a²)
From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:
LN : LP = 28:12 = 7:3
Therefore, the LRN sides is 7/3 of the corresponding side of LSP.
Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation
Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:
LRN = (1/2)(7b/3)(7h/3) ← Take out the 7/3 and multiply them together
= (49/9)(1/2)bh ← From LSP, we know that (1/2)bh = 50, so plug that in
= (49/9)*50 ≈ 272.222 units ²
X | x ≤ 1} and {x | x ≥ 1}{x | x < 1} and {x | x > 1}<span>{x | x ≤ 1} or {x | x ≥ 1}
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Answer:
12.25
Explanation
49/20 <em><u>(which is the same as (</u></em><em><u>4</u></em><em><u>9</u></em><em><u>÷</u></em><em><u>2</u></em><em><u>0</u></em><em><u>))</u></em><em><u> </u></em>=2.45
<em><u>Multiply</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em><em><u>5</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>amount</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>hours</u></em><em><u> </u></em><em><u>(</u></em><em><u>5</u></em><em><u>)</u></em><em><u> </u></em>
=12.25
