What you want to do here is take this information and plug it into point-slope form. any time you're given a point and a slope, you generally want to plug it into this equation: y - y1 = m(x - x1).
in this equation, m is your slope and (x1, y1) is a given point. plug in your info--slope of -3 and (-5, 2).
y - 2 = -3(x + 5)
that is the equation of your line. however, if you want to graph it, this doesn't really make much sense to you. convert it to slope-intercept form, y = mx + b, by solving for y.
y - 2 = -3(x + 5) ... distribute -3
y - 2 = -3x - 15 ... add 2
y = -3x - 13 is your equation.
to graph this, and any other y = mx + b equation, you want to start with your y-intercept if it's present. your y intercept here is -13, which means the line you wasn't to graph crosses the y-axis at y = -13, or (0, -13). put a point there.
after you've plotted that point, you use your slope to graph more. remember that your slope is "rise over run"--you rise up/go down however many units, you run left/right however many units. if your slope is -3, you want to go down 3 units, then go to the right 1 unit. remember that whole numbers have a 1 beneath them as a fraction. -3/1 is your rise over 1.
Answer:
b
Step-by-step explanation:
Time taken for the total workout = 15 + 30 + 45 = 90 minutes
Time taken for lifting weight : total time = 30 : 90
= 1 : 3
Answer:
I see this
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
So the answer is none of these.
Please make sure you have the correct problem.
Step-by-step explanation:
A set of points is a function if you have all your x's are different. That is, all the x's must be distinct. There can be no value of x that appears more than once.
If you look at choice A, this is not a function because the first two points share the same x, which is -3.
Choice B is not a function because the first and last point share the same x, which is 6.
Choice C is not a function because the last two points share the same x, which is 3.
Choice D is not a function because the first and last choice share the same x, which is -3.
None of your choices show a function.
If you don't have that choice you might want to verify you written the problem correctly.
This is what I see:
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
brainly.com/question/1349408
Starting from what I know (the difference between ribbons), I decided to go from the bottom and work my way up. I then noticed a pattern (each sum was three more of the previous one), and decided to keep my pattern of the three numbers but not have to do any major mental work and instead add three to the previous sum until I got to 38.
