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Karo-lina-s [1.5K]

3 years ago

12

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m? Show all of your

work for full credit.

2 answers:

jok3333 [9.3K]3 years ago

6 0

Answer: undefined

Step-by-step explanation:

The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

The given points : (-4, 3) and (-4, 7)

Then , the slope of a line passing through two points (-4, 3) and (-4, 7) is given by :-

$\text{Slope}=\dfrac{7-3}{-4-(-4)}=\dfrac{4}{-4+4}\\\\\Rightarrow\text{Slope}=\dfrac{4}{0}\\\\\Rightarrow\ \text{Slope}=\infty$

Since , the parallel have the same slope .

Therefore, the slope of the line that is parallel to line m is undefined.

Komok [63]3 years ago

3 0

M = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(-4 - - 4)
m = 4/0 = undefined slope Vertical line
A line parallel to a vertical line will also have an undefined slope.

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Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work

r-ruslan [8.4K]

Answer:

The error was made in step 4, $\pi$ should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Given that:

Volume of cylinder, $V = 576 \pi\ cm^3$

Radius of cylinder, r = 8 cm

To find:

The error in calculating the height of cylinder by Sandra ?

Solution:

We know that volume of a cylinder is given as:

$V = B h$

Where B is the area of circular base and

h is the height of cylinder.

Area of a circle is given as, $B = \pi r^2$

Let us put it in the formula of volume:

$V = \pi r^2 h$

Step 1:

Putting the values of V and r:

$576\pi = \pi 8^2 h$

So, it is correct.

Step 2:

Solving square of 8:

$576\pi = \pi \times 64\times h$

So, step 2 is also correct.

Step 3:

$h=\dfrac{576\pi}{64 \pi} = \dfrac{64 \pi \times 9}{64\pi}$

Step 4:

Cancelling 64 $\times \pi$ ,

h = 9 cm

So, the error was made in step 4, $\pi$ should have also been cancelled making the correct answer as 9 cm.

3 0

3 years ago

Julia can sell a certain product for $75 per unit. Total cost consists of a fixed overhead of $4000 plus production costs of $50

marusya05 [52]

Answer = 160 units

Reason is 75 sell price less cost per unit = $25 profit per unit
Overhead cost is $4000. Divide fixed overhead cost $4000 by profit per unit $25 = 160

6 0

1 year ago

Draw a model showing 15 divided by 3

kykrilka [37]

Here is you're answer:

In order to solve this equation you must first solve the equation then make a model.

$15 \div 3 = 5$
$=5$

Draw three circles then divide 15 between the 3 circles to equal 5.

Therefore you're answer is "5."

Hope this helps!

6 0

3 years ago

: Find the approximate perimeter of the isosceles triangle A OPD.

AleksAgata [21]

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

$P=OP+PD+OD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance OP

we have

O(7,-6),P(1,-6)

substitute in the formula

$d=\sqrt{(-6+6)^{2}+(1-7)^{2}}$

$d=\sqrt{(0)^{2}+(-6)^{2}}$

$d_O_P=6\ units$

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-1)^{2}}$

$d=\sqrt{(9)^{2}+(3)^{2}}$

$d_P_D=\sqrt{90}\ units$

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-7)^{2}}$

$d=\sqrt{(9)^{2}+(-3)^{2}}$

$d_O_D=\sqrt{90}\ units$

step 4

Find the perimeter

$P=6+\sqrt{90}+\sqrt{90}$

$P=6+9.49+9.49=24.98\ units$

4 0

3 years ago

Graph the function. For the function whose graph is shown below, which is the correct formula for the function? y = –x – 1 y = x

rusak2 [61]

You forgot to mention the graph.
So, I make the graph of both given functions and you will compare your graph with them.

First, y= -x-1
put y=0 you get point (-1,0) called x-intercept
put x=0 you get point (0,-1) called y-intercept
join both the points, you will get the graph
Graph is attached in the picture.

Second, y= x+1
put y=0 you get point (-1,0) called x-intercept
put x=0 you get point (0,1) called y-intercept
join both the points, you will get the graph
Graph is attached in the picture.

4 0

3 years ago