~Refer to the attachment for the solution.
Answer:
y - 2x = 3
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:
y - 3 = 2(x - 0), or
y - 3 = 2x, or
y - 2x = 3
Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b: it is 3.
You can read it of the graph which is (1,3) or also calculate it with vectors:
calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD
so it's the third option
Answer:
a = 7
Step-by-step explanation:
3(1 - 2a) = -3a - 18
3 - 6a = - 3a - 18
Add 18 to each side:
3 + 18 - 6a = - 3a - 18 + 18
21 - 6a = - 3a
Add 6a to each side:
21 - 6a + 6a = - 3a + 6a
21 = 3a
3a = 21
Divide each side by 3:
3a ÷ 3 = 21 ÷ 3
a = 7
Divide 309 by 3:
309 / 3 = 103
for the lower number subtract 1: 103 -1 = 102
for the higher number add 1: 103+1 = 104
The 3 numbers are 102, 103, 104
The middle number is 103.
The answer is C.