Answer:
B. y= (4)/(5)x + 2
Step-by-step explanation:
Use the slope-intercept form
y
=
m
x
+
b to find the slope m and y-intercept b
.
Slope:
5
3
y-intercept: (
0
,
−
2
)
Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
__
So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
A. -4
b. -6
c. 0 if the expression is 6 - 8 + 2 but if it is 6 - 8 ÷ 2 = 2
d. -2.1
Answer:
-2
Step-by-step explanation:
We usually start measuring the height from the ground, so basically the positive direction is above the ground, for example 2 is the best number which represents 2m above the ground.
So the negative sign represents the depth below the ground.
The answer to this is y <= -8.