Answer:
y = -(2/3)m - 2
Step-by-step explanation:
recall that the general equation of a straight line in slope-intercept form is
y = mx + b
where, m is the slope and b is the y - intercept
here we are given that the y - intercept is -2, hence the equation becomes:
y = mx + (-2)
or
y = mx -2
we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)
0 = m(-3) -2
0 = -3m - 2 (add 3m to both sides)
3m = -2 (divide both sides by 3)
m = -(2/3)
hence our equation is now
y = -(2/3)m - 2
Answer:
the one on top= c= -12
the bottom one= f= -15
Step-by-step explanation:
Ok so given the point (r, theta)
The corresponding Cartesian point is (r*sin(theta), r* cos(theta)) you can think about this by analyzing the points on a unit circle which is a graph of a polar circle with radius 1 and angle theta
Answer:
x = 3
Step-by-step explanation:
10x + 1 = 12x - 5
Subtract 1 from each side
10x = 12x - 6
Subtract 12x from each side
-2x = -6
Divided by -2
x = 3
C. 6/5 * 4
6/5 = 1.20 where .20 represents the 20% increase in serving.
1.20 * 4 = 4.8 is the total cups of flour needed to increase serving by 20%
4 is the 100% ; the desired increase is 20%; therefore: 100% + 20% = 120% based on 4 cups. So, 120% ÷ 100% = 1.2 * 4 = 4.80 cups