The perpendicular line through (-1, -3) can be written as
7(x+1) -5(y+3) = 0
The intersection of this line with the original is
(x, y) =
(51/74, -47/74)_____
In standard form, the two lines can be written as
5x +7y = -1
7x -5y = 8
By Cramer's rule,
x = (7·8 - (-1)(-5))/(7·7 -(-5)·5) = 51/74
y = (-1·7 -8·5)/74 = -47/74
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Step-by-step explanation:
V = π ∙ r2 ∙ h / 3, where π ∙ r2 is the base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used. Example 1: Find the volume of cone, whose radius is 8 cm and height is 5 cm.
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Answer:
1/4
Explanation:
Assume that:
log base 625 of 5 = y
We will rewrite this in exponent form as follows:
log base (b) of x = y is equivalent to b^y = x
For the given, the exponent will be:
625^y = 5
Now, we know that 5^4 = 625
Therefore, to convert 625 to 5, we will take 4th root.
This means that:
625^y = 5
y = 1/4
Hope this helps :)
Answer:
c
Step-by-step explanation: