Answer:(3t)^2
Step-by-step explanation:
Steps below
Answer:
1. ridescost+admission=total
if x=number of tickets and y is total and cost per ride is 1.25 then
1.25x+admission=y
if we solve
when x=25, y=43.75
1.25(25)+admission=43.75
31.25+admission=43.75
minus 31.25 from both sides
admission=12.50
a.
y=1.25x+12.5
b.
x is number of tickets and y is total cost
c. math, seriously, just read what is above option a (the one in the top of the answer)
if you're too lazy then:
ridescost+admission=total
if x=number of tickets and y is total and cost per ride is 1.25 then
1.25x+admission=y
if we solve
when x=25, y=43.75
2.
(a)
m = (y2 - y1) / (x2 - x1) = (4 - 9)/(-2 - 8) = -5/(-10) = 1/2
(b)
y - y1 = m(x - x1)
Using the first given point,
y - 9 = (1/2)(x - 8)
Using the second given point,
y - 4 = (1/2)(x + 2)
note they both simplify to
y = (1/2)x + 5
(c)
y = (1/2)x + 5
3.
Answer:
26.6 meters
Step-by-step explanation:
tan = opp/adj
tan28 = opp/50
50 * tan28 = opp
26.59 = opp
Factor the following:
2 x^2 - 32 y^2
Factor 2 out of 2 x^2 - 32 y^2:
2 (x^2 - 16 y^2)
x^2 - 16 y^2 = x^2 - (4 y)^2:
2 (x^2 - (4 y)^2)
Factor the difference of two squares. x^2 - (4 y)^2 = (x - 4 y) (x + 4 y):
Answer: 2 (x - 4 y) (x + 4 y)