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3 years ago

A water slide starts at (0,144) and ends at (12,0) what is the slope of the slide

Mathematics

1 answer:

fredd [130]3 years ago

4 0

Answer:

-12

Step-by-step explanation:

The slope of a line is just the difference of y-values divided by the difference of x-values

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{144-0}{0-12} = \frac{144}{-12} = -12$

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Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.

faust18 [17]

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

3 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:

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

$t_1 = -0.41 s$

$t_2=5.92 s$

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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#LearnwithBrainly

8 0

3 years ago

49767269 x 327686000 - 1029 + 1101 / 32

mars1129 [50]

Answer:

$16308037309533006\frac{13}{32}$

Step-by-step explanation:

49767269 × 327686000 - 1029 + $\frac{1101}{32}$

= 16308037309534000 - 1029 + $\frac{1101}{32}$

= 16308037309532972 + $34\frac{13}{32}$

= $16308037309533006\frac{13}{32}$

8 0

3 years ago

Your goal is to take at least 10,800 steps per day. According to your pedometer, you have walked 7370 steps. Write and solve an

faust18 [17]

Answer:

Step-by-step explanation:

Let the numbers of steps you can take to reach your goal be x

Your goal is to take at least 10,800 steps per day and you have walked 7370 steps already.

x + 7370 >= 10800

x >= 10800 - 7370

x >= 3430

3 0

3 years ago

Read 2 more answers

How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,73

arsen [322]

The sum of n terms of a geometric series is given by
$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}$

Substituting the given numbers, you have
$2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6$

There are 6 terms in the series.

4 0

3 years ago