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3 years ago

6

Which relation is a function?

1 answer:

sergejj [24]3 years ago

7 0

To determine which relation is a function, we can perform something called the vertical line test. We cover the graph in repeating vertical lines and if one vertical line connects with more than one point of the relation, the relation is not a function.

The relation in the bottom right corner is the only relation that passes the vertical line test.

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The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes

katen-ka-za [31]

Answer:

y = -4/3 x - 1/3

Step-by-step explanation:

y = -4/3 x + b

5 = -4/3 (-4) + b

15 = 16 + 3b

b = -1/3

y = -4/3 x - 1/3

5 0

3 years ago

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

So

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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8 0

3 years ago

Please!!! I NEED help with this!!!! it's due in an hour and I have no idea how to do it!!!

sergejj [24]

Answer:

Well you can try to use a calculator, like the one on google. I can try to help if you really need it.

Step-by-step explanation:

3 0

3 years ago

jordan is cutting a 2 m by 1 1/4 m piece of rectangular paper into two pieces along its diagonal. find the area of each of the p

alexdok [17]

Answer:

The area of a rectangle is 5/4

Step-by-step explanation:

5 0

2 years ago

What is the domain and range?

ycow [4]

Answer:

Domain- the set of possible values of the independent variable or variables of a function.

Range- the set of values that a given function can take as its argument varies.

8 0

3 years ago