Y = mx + b is the slope-intercept form of the equation of a line,
where m = slope, and b = y-intercept.
In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.
1.
m = -5/2
b = -5
3.
m = -1
b = 3
5.
For problem 5, you need to solve for y to put the equation
in y = mx + b form. Then you can read m and b just like we did
for problems 1 and 3.
4x + 16y = 8
16y = -4x + 8
y = -4/16 x - 8/16
y = -1/4 x - 1/2
m = -1/4
b = -1/2
Answer:
Step-by-step explanation:
The area of a square with side length 
is given by 
.
Therefore,
.
Answer:
21
Step-by-step explanation:
the answer to everything is 21
Answer: g(x) = 2(x + 3) + 1
Step-by-step explanation:
When we have an horizontal translation of A units (A is a positive real number) to the right, we write this as:
g(x) = f(x - A)
If the translation is to the left, then we have:
g(x) = f(x + A).
In this case, we have a translation to the left, and A = 3, then:
g(x) = f(x + 3)
And we know that:
f(x) = 2x + 1
g(x) = f(x + 3) = 2*(x + 3) + 1 = 2x + 6 + 1 = 2x + 7
g(x) = 2x + 7
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
