Answer:
The solution is:
Part A. which is sqrt(5)^7k/3[/tex]
Part B. k = 18/7
Step-by-step explanation:
Part A.
To solve this part, we're going two use THREE important properties of exponents:
1.
2.
3.
Let's work the numerator using the properties 1, 2 and 3:
Let's work the denominator using the properties 1, 2 and 3:
Now dividing the numerator by the denominator:
Part B
if
Then:
So
Solving for k, we have:
k = 18/7
Step-by-step explanation:
first we need to find the slope of the line.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
we see here
x changes by -4 (from -4 to -8).
y changes by +3 (from -5 to -2).
so, the slope is +3/-4 = -3/4
there are two main forms for the equation of a line :
the slope-intercept form
y = ax + b
and the point-slope form
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
we can pick any point, and I would pick (-4, -5).
so we get as point-slope form
y + 5 = -3/4 × (x + 4)
or for the slope intercept form we simplify the point-slope form
y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3
y = -3/4 x - 8
Answer:
8
Step-by-step explanation:
In word problems, the word 'of' almost always means 'multiply'.
1/2 *of* 1/5
1/2 = 0.5
1/5 = 0.2
0.5 * 0.2 = 0.1
0.1 = 1/10
Noah uses 1/10 of his yard for his garden.
Hope that helped! =)
It depends. Is this fee for every exhibit? Then it would be:
f(x) = 6x
Otherwise it’s:
f(x) = 2x + 4