Get the slope of the line using the two known points:
slope = (7 3/4 - 6 1/4) / (1 1/4 - 3/4) = (1 2/4) / (2/4) = 3
Use the point-slope formula for a line to get the equation of the line. You can use any of the known points and the slope computed above. For example,
y - 6 1/4 = 3 (x - 3/4) ⇒ y = 3x + 16/4 = 3x + 4
Then for some given value of x, the third point has y-coordinate 3x + 4.
"Which values" suggests there may be more to the question, namely some list of answer choices. If you have something like that, just check if the above condition is met.
Answer:
The answer is 30
Step-by-step explanation:
To get a.b
For a = <wa, za> and b = <wb, zb>, the dot product represents multiplication sign.
We say,
a•b = (wa)(wb) + (za)(zb)
The next step is to substitute the given information into the above equation we generated.
Then we say,
a•b = 5•4 + 2•5
a.b = 20 + 10
a•b = 30
The answer is 30
Answer:
B. Dependent, 1/70
Step-by-step explanation:
The probability that the first pencil is yellow is 10/50.
There are now 49 pencils, so the probability that the second pencil is blue is 7/49.
There are now 48 pencils, so the probability that the third pencil is red is 24/48.
The total probability is (10/50) (7/49) (24/48) = 1/70.
Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.
6 sides .
If in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.
