Answer:
Drew studied for an hour for 4 days in a row. How many hours did he study? Drew studies for 2.5 hours.
Step-by-step explanation:
The model shows that drew studied 2/8 every day and 2/8 is equal to 1/4 cut all five days that he studied in half and you get 2.5.
Answer:
n = (-1000/3)p + (97000)/3)
Step-by-step explanation:
The data given says, in effect, that the linear equation based on price passes through 2 points (82, 5000) and (91, 2000), given two points on a line, we'll use the point-slope form to start. To use this we must first find the slope
m = (y2 - y1) / (x2 - x1) = (2000 - 5000) / (91 - 82) = -3000 / 9 = -1000/3
(I like to leave slopes as fractions <rather than decimal> since fractions are more accurate)
point-slope form
y - y0 = m(x - x0) at some point (x0, y0) with slope m, we'll use (91, 2000)
y - 2000 = (-1000/3)(x - 91), distribute
y - 2000 = (-1000/3)x + 91000/3, add 2000 to each side
y = (-1000/3)x +97000/3
oops, substitute p for x and n for y
n = (-1000/3)p + (97000)/3)
The coordinates of the corners in the scale drawing of the desing are:
H = (2,0)
I = (0,0)
J = (0,4)
K = (2,4)
That makes the lengths of the segments be:
HI = 2 - 0 = 2
JK = 2 - 0 =2
JI = 4 - 0 = 4
KH = 4 - 0 = 4
Now check the segments of the actual cover:
H'I' = 10 - 0 = 10
K'J' = 10 - 0 = 10
J'I' = 16 - 0 = 16
K'H' = 16 - 0 = 16
Now check corresponding segments meet proportionality criterium, which is needed for similarity:
H'I' / HI = 10 /2 = 5
K'J' / KJ = 10 / 2 = 5.
So far we this is fine.
JI / J'I' = 16 / 4 = 4............ then not, the ratio is not the same ratio of the other two segments, which implies that the scale used for the vertical segments is different to the scale used for the horizontal segments, driving to a non similar figure.
Answer: no, because the corresponding sides are not proportional
