Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
Answer: G(x) is compressed horizontally and reflected over the y-axis
Step-by-step explanation:simple
Using the combination formula, it is found that she can select the shirts in 775,200 ways.
The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given by:
In this problem:
- 3 shirts from a set of 17.
- Then, 3 shirts from a set of 20.
- They are independent, hence, to find the total, we multiply both combinations.
She can select the shirts in 775,200 ways.
To learn more about the combination formula, you can check brainly.com/question/25821700
Answer:
C. 67 mph
Step-by-step explanation:
The speedometer reports speed based on the number of revolutions the tire makes in a given time period. If the motorcycle travels 28/25 times as far on each revolution, its speed is 28/25 times as great.
(28/25)(60 mph) = 67.2 mph ≈ 67 mph
_____
The distance traveled is proportional to the circumference of the tire, which is proportional to the diameter. Hence, actual speed for a given speedometer reading is proportional to the diameter of the tire.
