Answer: 
Step-by-step explanation:
Find the x-coordinate of the vertex with this formula:
In this case:
Substituting values, we get:
Now we can substitute the coordinates of the vertex into the equation 
and then solve for "c".
Then:
Answer:
14,146 years
Step-by-step explanation:
The annual multiplier is (1 -0.0049%) = 0.999951. We want to find the number of times this needs to be multiplied to make the product 1/2.
0.5 = 0.999951^t
log(0.5) = t·log(0.999951)
log(0.5)/log(0.999951) = t ≈ 14,145.514
The half-life is about 14,146 years.
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
Answer:
It is given that ABCD is a parallelogram, so AB || DC by the difinition of parallelogram. So, <1 = <2 by the alternate interior angles theorem. It is also given that DC bisects <BDE, so <2 = <em><u><</u><u>3</u><u> </u></em> by the <em><u>d</u><u>e</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>o</u><u>f</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>b</u><u>i</u><u>s</u><u>e</u><u>c</u><u>t</u><u>o</u><u>r</u><u>.</u></em> Therefore,<em> <u><</u><u>1</u></em><u> </u> = <3 by the <em><u>t</u><u>r</u><u>a</u><u>n</u><u>s</u><u>i</u><u>t</u><u>i</u><u>v</u><u>e</u><u> </u><u>p</u><u>r</u><u>o</u><u>p</u><u>e</u><u>r</u><u>t</u><u>y</u><u> </u><u>o</u><u>f</u><u> </u><u>c</u><u>o</u><u>n</u><u>g</u><u>r</u><u>u</u><u>e</u><u>n</u><u>c</u><u>e</u><u>.</u></em>
I would say the answer is 27.
Pls, give brainliest.
