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ser-zykov [4K]
4 years ago
13

Write the equation of the line that passes through the given points. Include your work in your final answer. Type your answer in

the box provided or use the upload option to submit your solution.
(2, 3) and (2, 5)
Mathematics
1 answer:
Harman [31]4 years ago
3 0
The equation you use for the slope of this kind of problem is (y2-y1)/(x2-x1). x1 is the first X coordinate, x2 is the second, y1 is the first y coordinate, y2 is the second.

(5-3)/(2-2)
2/0
This equation has an UNDEFINED SLOPE, as it is just a vertical line.
You might be interested in
What percent of 21 is 88.83
statuscvo [17]
88.83×21=4.23%. plz follow for more answers
6 0
3 years ago
cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0
Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder=2\pi rh

Area of circular base=Area of circular top=\pi r^2

Total cost,C(r)=0.02\times 2\pi rh+2\pi r^2\times 0.07

Volume of cylinder,V=\pi r^2 h

200=\pi r^2 h

h=\frac{200}{\pi r^2}

Substitute the value of h

C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07

C(r)=\frac{8}{r}+0.14\pi r^2

Differentiate w.r.t r

C'(r)=-\frac{8}{r^2}+0.28\pi r

C'(r)=0

-\frac{8}{r^2}+0.28\pi r=0

0.28\pi r=\frac{8}{r^2}

r^3=\frac{8}{0.28\pi}=9.095

r=(9.095)^{\frac{1}{3}}=2.09

Again, differentiate w.r.t r

C''(r)=\frac{16}{r^3}+0.28\pi

Substitute the value of r

C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0

Therefore,the product cost is minimum at r=2.09

h=\frac{200}{\pi (2.09)^2}=14.57

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0
3 years ago
Consider a sequence of transformations where ΔLMN is translated (x, y) → (x − 3, y + 4), reflected across the yaxis, and then re
Svetlanka [38]

the effect of the second transformation just is:

(x - 3, y + 4) → (-3 + 4, y + 4)

<h3>What will be the effect of the second transformation?</h3>

Here we have a sequence of transformations, we start with a point (x, y) which we:

  • First, we translate it 3 units to the left and 4 units up.
  • Second, we reflect it across the y-axis
  • Finally, we reflect it across the x-axis.

The second transformation is the first reflection, so we need to see what that reflection does.

First, the translation maps our point from (x, y) into (x - 3, y + 4).

Then, a reflection across the y-axis will only change the sign of the x-component of our point, so the effect of the second transformation just is:

(x - 3, y + 4) → (-3 + 4, y + 4)

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

5 0
2 years ago
Find the volume of this rectangular prism.
Lorico [155]

Answer:

72

Step-by-step explanation:

because you want to multiply all the 3 figures in that rectangular which is that box with the length width and height  

8 0
3 years ago
solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41​
Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method).  We will work to eliminate one of the variables.  Since the y values are smaller, let's work to get rid of those.  That means we have to have a positive and a negative of the same number so they cancel each other out.  We have a 2y and a 3y.  The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2.  BUT they have to cancel out, so one of those multipliers will have to be negative.  I made the 2 negative.  Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3.  Therefore,

y = 1

The solution set then is (2, 1)

6 0
3 years ago
Read 2 more answers
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