To find the slope and the -intercept of the line, first write the function as an equation, by substituting for
y=10
y=0x+10
y=0x+10 , m=0
y=0x+10 , m=0 , b=10
m=0 , b=10
The slope of the line is m=0 and the y-intercept is b=10
Answer:
12.6
Step-by-step explanation:
If 21 divided by 5 is 4.2, you should multiply 3 by 4.2 you'll then get 12.6. to double check, do 5 divided by 3, which is 1.67, and 21 divided by 12.6 is also 1.67. so side OP is 12.6! :)
Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form

then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have

Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4
A. (7/13)·(1/3)=7/39. P=7/39
B. (6/13)·(2/3)=12/39. P=12/39
C. (7/13)·(2/3)=14/39. P=14/39
D. (6/13)·(1/3)=6/39. P=6/39
All the numbers from Bag B were written as thirds cause their probabilities could be simplified to make multiplying easier