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noname [10]
3 years ago
5

Find the perimeter of a triangle with points A(1,2), B(1,8), and C(5,5) on a Cartesian coordinate plane.

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Check the picture below.

the distance from 1,2 to 1,8 is simply 6 units, we can read that off the grid.  Now let's see what the other distances are, and add them all up to get the perimeter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AC=\sqrt{(5-1)^2+(5-2)^2}\implies AC=\sqrt{4^2+3^2} \\\\\\ AC=\sqrt{25}\implies AC=5 \\\\[-0.35em] ~\dotfill

\bf B(\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) \\\\\\ BC=\sqrt{(5-1)^2+(5-8)^2}\implies BC=\sqrt{4^2+3^2} \\\\\\ BC=\sqrt{25}\implies BC=5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{perimeter}{6+5+5\implies 16}~\hfill

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erik [133]

Answer:

y =  \frac{4}{5} x -  \frac{22}{5}

Step-by-step explanation:

y = mx + b

- 2 =  \frac{4}{5} (3)  + b \\  - 2 =  \frac{12}{5}  + b \\  - 2 -  \frac{12}{5}  = b \\   - \frac{10}{5}  -  \frac{12}{5}  = b \\  -  \frac{22}{5}  = b

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

y =  \frac{4}{5} x  -  \frac{22}{5}

6 0
2 years ago
A trash can in the shape of a cylinder has a radius of 26 cm and a height of 39 cm. Which of the following is closest to the vol
My name is Ann [436]

Answer:

The volume of cylindrical trash is 82,782.96 cm³  .

Step-by-step explanation:

Given as :

The shape of the trash is cylinder

The radius of cylinder = r = 26 cm

The height of cylinder = h = 39 cm

Let The volume of cylindrical trash = v cm³

<u>Now, According to question</u>

volume = \Pi \times radius^{2}\times height

where \pi = 3.14

So, v = 3.14 × r² × h

Or, v = 3.14 × (26)² × (39)

Or, v = 3.14 × 26,364

∴  v = 82,782.96 cm³

So, volume of cylindrical trash = v = 82,782.96 cm³

Hence, The volume of cylindrical trash is 82,782.96 cm³  . Answer

5 0
2 years ago
Solve for the rational equation 1/x = x/x+1
babymother [125]

Answer:

the answer is x=1/2

Step-by-step explanation:

hope this helps if not let me know have a blessed day

8 0
1 year ago
What’s the correct answer for this?
Elina [12.6K]

Answer:

C

Step-by-step explanation:

Measure of Arc FED = 51+79

= 130°

Since the measures of arcs and angles are the same

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<FED = 130°

8 0
2 years ago
Solve this equation by the substitution method f(x)={2x+3y=25, <br> {x-y=5
Kipish [7]
The second equation is perfect. We can add y to both sides to make the equation equal x.
X=5+y; let's plug that in for x in the first equation.
2(5+y)+3y=25
10+2y+3y=25
5y+10=25
Let's subtract 10 from both sides.
5y=15
Now divide both sides by 5.
Y=3
So y is 3. We can plug 3 in for y in the second equation.
X-3=5
X=8
So, X=8 and Y=3.
8 0
3 years ago
Read 2 more answers
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