f(x) = 2^(4x)
g(x) = 2^x
(fg) = 2^4x * 2^x = 2^5x
NOTE: When multiplying two powers with same base exponents add.
(f/g)(x) = (2^4x)/(2^x) = 2^3x
NOTE: And when dividing they subtract.
Answer: a and c
//Hope it helps.
Answer:
72° is the largest angle, 63°, 45°
Step-by-step explanation:
7x + 5x + 8x = 180
20x = 180
20x/20 = 180/20
x = 9
I set the equation equal to 180 because there are 180 degrees in a triangle.
Now find the largest angle, which will be the 8x, since 8 is bigger than 5 and 7.
8x
8(9)
72° is the largest angle
If you need the other two angle measures:
7x
7(9)
63°
5x
5(9)
45°
991 if you round it off.
990.8
Above 5 so go up one
Step-by-step explanation:
Hey there!!!
Here,
Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.
The equation of a straight line passing through point is,

Now, put all values.

It is the 1st equation.
Another equation is;
y = 5x +2........(2nd equation).
Now, Comparing it with y = mx + c, we get;
m2=5
As per the condition of perpendicular lines,
m1×m2= -1
m1 × 5 = -1
Therefore, m2= -1/5.
Keeping the value of m1 in 1st equation.

Simplify them.



Therefore the required equation is x+5y+8= 0.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer: The smallest valuest value for<em> k </em>is 10, such that LCM o<em>f k</em> and 6 is 60.
Step-by-step explanation:
We know that, LCM = Least common multiple.
For example : LACM of 12 and 60 is 60.
If LCM of k and 6 is 60.
i.e. the least common multiple of k and 6 is 60.
Since, 10 x 6 = 60.
The smallest valuest value for<em> k </em>should be 10, such that LCM o<em>f k</em> and 6 is 60.
Hence, the smallest value of k is 10.