Answer:
slope for perpendicular line is -3
Step-by-step explanation:
just flip the reciprocal for the slope and change the positive/negative sign
Answer:
200
Step-by-step explanation:
C = 0.007x² − 2.8x + 100
There are two ways we can find the minimum. The first is by noticing that this is an upwards parabola, so the minimum is at the vertex. For y = ax² + bx + c, the vertex is at x = -b/(2a).
x = -(-2.8) / (2 × 0.007)
x = 200
Alternatively, we can minimize C using calculus. Take the derivative with respect to x and set to 0:
dC/dt = 0.014x − 2.8
0 = 0.014x − 2.8
x = 200
Answer:
y-intercept: (0,6)
slope = -2
equation: y = -2x + 6
Step-by-step explanation:
1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.
2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula 
and solve:
So, the slope is -2.
3) With the found information, use the slope-intercept formula 
to write the line's equation. Substitute values for the 
and 
.
represents the slope, so substitute -2 in its place. represents the y-intercept, so substitute 6 in its place. This gives the following equation:
I thinking it’s true. The law of conservation of matter has been satisfied. When the reactants and products of a chemical equation have the same number of atoms of all elements present, we say that an equation is balanced. All proper chemical equations are balanced.
