Answer:
since alternate exterior angles are congruent, you get:
6x + 5 = 7x - 4
subtract 6x from both sides of this equation and add 4 to both sides of this equation to get 5 + 4 = 7x - 6x which results in 9 = x
solve for x to get x = 9 degrees.
Step-by-step explanation:
Slope is 0. y-intercept is (0, 4/5)
Answer: Hello mate!
Let's define the variable t as the time, and define t = 0 as the moment when the first skater starts to move:
We know that the speed of the first skater is 8 m/s, and we need to find the position as a function of time, then we need to integrate the velocity over time
if v1(t) = 8m/s
then p1(t) = (8m/s)*t
now we also know that the second skater has a velocity of 9m/s and enters in the frozen lake at t= 10s.
then the velocity of the second skater is: v2(t) = 9m/s, and the position is:
p2(t) = (9m/s)*(t - 10s)
now we want to know how many seconds after the second skater starts are needed for the second skater to overtake the first one.
this is equivalent to see when his positions will be equal.
so p1(t) = p2(t):
(8m/s)*t = (9m/s)(t - 10s) = (9m/s)*t - 90m
(8m/s)*t - (9m/s)*t = -90m
(-1m/s)*t = 90m
t = 90m/(1m/s) = 90s
Then in t = 90 seconds, the second skater will overtake the first one, and knowing that the second skater started at t = 10 seconds; there are 80 seconds after the second skater started needed to overtake the first skater.
It's true that (2, 12) is a solution of 3x-1/2 y = 0 .
It's also true that (1, 6), (3, 18), (5, 30), (9, 54), (150, 900),
and (12 million, 72 million) are also perfectly correct solutions.
Any pair of numbers where the 'y' number is six times as much as
the 'x' number is a solution to that equation.
There are an infinite number of them.
Answer:
4%
Step-by-step explanation:
1. Convert the problem to an equation using the percentage formula: P% * X = Y.
2. P is 10%, X is 150, so the equation is 10% * 150 = Y.
3. Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
