Answer:
Y=3/2x - 3/2
Step-by-step explanation:
To find the inverse, switch the x and y in the equation. Then solve for y.
Y=2/3x+1
X=2/3y+1
X-1=2/3y
3/2(x-1)=y
3/2x-3/2=y
Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer:
520 people in 2 hours
rate = 260 people per hour
Step-by-step explanation:
change minutes to hours
15 minute* 1 hr/60 minutes = .25 hrs
65 people x people
--------------- = ------------------
.25 hrs 2 hrs
using cross products
65 * 2 = .25 * x
130 = .25x
divide by .25
130/.25 = .25x/.25
520 =x
520 people
65 people x people
--------------- = ------------------
.25 hrs 1 hrs
using cross products
65 = .25x
divide by .25
65/.25 = .25x/.25
260 =x
260 people in 1 hour
rate = 260 people per hour
Let the four consecutive numbers be x, x+1, x+2, and x+3.
The sum of the four numbers is 54, therefore
x + (x+1) + (x+2) + (x+3) = 54
4x + 6 = 54
4x = 54 - 6 = 48
x = 12
Answer:
The four numbers are 12, 13, 14, and 15
Answer:B
Step-by-step explanation:
