Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.
slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.
so ur answer is : k = 5
Answer:
267.95 in³
Step-by-step explanation:
volume = 4/3 × 3.14 × 4³
= 4/3 × 3.14 × 64
= 267.95 in³
Unfortunately, 15/32 is at its simplest form. There is no common factor between 32 and 15, meaning that the LCM is 15/32.
So, technically 15/32 is still the simplified version of 15/32.
Answer:
D above and to the left
Step-by-step explanation: The origin is in the center of a grid so going left and up will put you in quadrant 2 where x is negative and y is positive
Answer:
y - 13 = 3(x - 5)
Step-by-step explanation:
x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.
Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)
side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.