M= 20 because the rate of change is -3.
Answer:
Step-by-step explanation:
Q no 4 :
4, 8
1, 5
3, 7
2, 6
Q no 5:
(a)
10x + 1 = 12x - 5
1+5= 12x - 10x
2x = 6
x = 6/2
x = 3
(b)
11x - 15 + 5x - 13 = 180 (angles on a straight line)
11x + 5x - 15 - 13 =180
16x - 27 = 180
16x = 180 + 27
16x = 207
x = 207 / 16
x = 12.9375
Answer: y = 5x - 2
Step-by-step explanation:
This is coordinate geometry, and from the principle of parallelism, for two lines to be parallel to each other, m1 = m2.
Now from the quest above
y = 5x + 3 with the y intercept of the other line to be -2
From the equation if a straight line,
y = mx + c where m is the slope so gradient and c is the y intercept.
Since the two lines are parallel to each other , it means that m1 = m2
So m1 = 5 and m2 = 5, the equation of the second line will be
y = 5x - 2
The function for this problem is:
h(t) = -16(t)^2 + vt + s
h= the height
t= time
v= velocity
s= starting height
With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get:
h(t) = -16(t)^2 + 35t
Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
