Answer:
:)
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>According to intersecting secants theorem:</u>
<u>Substitute values and solve for x:</u>
- (x - 1)(x - 1 + 7) = 12²
- (x - 1)(x + 6) = 144
- x² - 5x - 6 = 144
- x² - 5x - 150 = 0
- x² - 15x + 10x - 150 = 0
- x(x - 15) + 10(x - 15) = 0
- (x - 15)(x + 10) = 0
- x = 15
- x = -10 (ignored as negative)
<u>Find the value of Kl</u>
Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
<u></u>There are two way sof doing this question:
<em><u>1st solution is : </u></em>
<em> </em><u><em>6/15 = 2/</em></u><u /><em><u>5</u>
</em>because 6/15 is divisible by 3 and it is done by this form :
3 X 2 = 6
and
3 X 5 = 15
<em><u>2nd solution is:
</u></em><u></u>6/15 = 2/?
here we suppose that the missing value is <em>x:
</em> 6/15 = 2/x
you shift the denominators and then multiply them by the their numerators:
6 * x = 15 * 2
6x = 30
now you divide 6 on both sides:
<em> </em>6x/6 = 30/6
<em><u>x = 5</u></em><em>
</em>
Answer:
1.12
Step-by-step explanation:
