Answer:The measure of angle x is 65°.
Step-by-step explanation: Determine the measure of angle x. Step 1: Add together the known angles. Step 2: Subtract the sum from 180°. The measure of angle x is 65°.
Answer:
y-3
Step-by-step explanation:
Answer:
h(x) = x/2 + 5
Step-by-step explanation:
f(x) = 2x - 10
Step 1. Replace f(x) with y.
y = 2x - 10
Step 2. Switch variables x and y.
x = 2y - 10
Step 3. Solve for y.
2y - 10 = x
2y = x + 10
y = x/2 + 5
Step 4. Replace y with h(x)
h(x) = x/2 + 5
Is the goal to simplify? You just need to multiply the exponents for each factor:
(2z^2)^(-3)
= 2^(-3) x z^(2 x -3)
= (1/2)^3 x z^(-6)
= (1/8) x (1/z)^6
= 1/(8z^6)
Answer:
y - 3 = (5/3)(x - 6)
Step-by-step explanation:
The usual first step is to determine the slope of the given line.
In this case the slope is -3/5.
A line perpendicular to this given line would have a slope of 5/3, which is the negative reciprocal of -3/5.
This new line goes thru (6, 3) and has a slope of 5/3. Thus, the equation of the line in point-slope form is
y - 3 = (5/3)(x - 6)
Double check that you have copied the problem down correctly. The slope of the line represented by -3x - 5y = 17 is neither 2 nor -2; it is -3/5, and so the slope of a line perpendicular to -3x - 5y = 17 is +5/3.
