To celebrate the first day of winter, Lin is putting magnets on some of the lockers (pre-COV ID of course). There are 100 locker
s along one side of her school's hallway. She puts a snowflake magnet on every 5th locker and a snowman magnet on every 7th locker. How many lockers will have both magnets, and what locke
2 answers:
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now, if you set y to 0, so you can solve for "x", you'll notice, you'll get 7 twice, you can see it from (x-7) twice there, it has that root twice.
so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.
now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2 and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.
so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.
to find the y-intercept, simply set x = 0, let's do so
so is at 0, 24.5
the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.
Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is ft.
Height of Skateboard ramp is ft.
From figure,
It is forming a Right angle triangle .
In ,
and
.
Clearly see that we need to find measure of angle .
Using Trigonometric ratio:
So,
Then
Therefore, Angle made by ramp with ground is ≈
