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3 years ago

13

What equation represents a line which is perpendicular to x=0

1 answer:

Juliette [100K]3 years ago

3 0

Answer:

x= 1

Step-by-step explanation:

any equation where x = a single number

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Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

3 years ago

Chase bought 5 chicken wings for $9.50. If Chase spent $26.60 , how many chicken wigs did he buy ?

MaRussiya [10]

I think he bought 14 chicken wings, if I need to explain then I will.

7 0

3 years ago

he following data represent the times in minutes required for 18 co-workers to commute to work. 48 42 31 29 41 22 38 38 21 39 22

labwork [276]

Answer:

1, 2, 2, 2, 3, 8, 9

Step-by-step explanation:

The following data represent the times in minutes required for 18 co-workers to commute to work

48 42 31 29 41 22 38 38 21 39 22 48 22 12 34 32 23 28

Rewrite this data in ascending order

12 21 22 22 22 23 28 29 31 32 34 38 38 39 41 42 48 48

Now, the stem-and-leaf plot is

$\begin{array}{cc}\text{Stem}&\text{Leaf}\\ \\1&2\\2&1,2,2,2,3,8,9\\3&1,2,4,8,8,9\\4&1,2,8,8\end{array}$

The second row represents the leaves for the given data points in the range 20 to 29 for this stem-and-leaf plot, so the answer is

1, 2, 2, 2, 3, 8, 9

3 0

3 years ago

Question is below in picture

Ivan

It's $x^{2} +6x+1
/x(x+2)$ because this choice made the most since.

4 0

3 years ago

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago