1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lana71 [14]
3 years ago
8

What is the perimeter of triangle DEF?

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Given:

Triangle DEF

To find:

The perimeter of triangle DEF.

Solution:

Coordinate of D = (-1, 1)

Coordinate of E = (2, 1)

Coordinate of F = (-1, 4)

Distance formula:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

<u>Distance of DE:</u>

Here, x_1=-1, y_1=1, x_2=2, y_2=1

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

d=\sqrt{0+9}

d = 3 units

<u>Distance of EF:</u>

Here, x_1=2, y_1=1, x_2=-1, y_2=4

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

d=\sqrt{9+9}

d=\sqrt{18}

d = 4.2 units

<u>Distance of FD:</u>

Here, x_1=-1, y_1=4, x_2=-1, y_2=1

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

d=\sqrt{9+0}

d = 3 units

Perimeter of ΔDEF = DE + FE + FD

                                = 3 + 4.2 + 3

                                = 10.2 units

The perimeter of triangle DEF is 10.2 units.

You might be interested in
The sum of 2 consecutive integers is –33. If n is the 1st integer, which equation best models the situation?
Masja [62]

Answer:

hard

Step-by-step explanation:

I have never seen this before

8 0
3 years ago
Read 2 more answers
If the slope of a line is 2 and its y-intercept is 5, what is the equation of the line?
CaHeK987 [17]
Hello,

y=2x+5
==========
(y-5)=2(x-0)

7 0
3 years ago
Read 2 more answers
Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1
notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = \frac{1}{2} \cdot 36 = 18 baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = \frac{1}{4} \cdot 36 = 9 baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = \frac{1}{12} \cdot 36 = 3 baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

8 0
3 years ago
Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.
Zinaida [17]
Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a f<span><span>irst-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis label is Plant growth in inches.</span>

The rate of relationship A is given by the slope of the graph as follows:

slope= \frac{6-3}{4-2} = \frac{3}{2} =1.5

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.

For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

slope= \frac{4.5-2.25}{6-3} = \frac{2.25}{3} =0.75

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16

</span><span><span>slope= \frac{9.6-4.8}{6-3} = \frac{4.8}{3} =1.6

</span> For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2

</span><span>slope= \frac{7.2-5.4}{4-3} = \frac{1.8}{1} =1.8

For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9</span>

<span>slope= \frac{8.4-6.3}{4-3} = \frac{2.1}{1} =2.1</span>

Therefore, the table that could represent Relationship B is table A.
7 0
3 years ago
Read 2 more answers
To the nearest​ dollar, the average tuition at a public four−year college was $3088 in 1997 and $3292 in 2000. ​Find, to the nea
Delicious77 [7]

the fees in 1997 was $3088

fees in 2000 was $3292

average rate of increase= (3292-3088)/(2000-1997) = 204/3=68

so average rate of increase is $68 per year

4 0
3 years ago
Other questions:
  • Name each solid below find the volume and surface area​
    10·2 answers
  • I don't understand can someone help
    6·1 answer
  • Cindy plans to invest for 10 years at 1.5%, compounded annually. If she hopes to have $10,000 after 10 years, how much
    5·1 answer
  • In what form can a linear equation in x and y be written in?
    13·1 answer
  • What are the two steps to solving a proportion
    12·2 answers
  • Use 3.14 for π to find 2πr when r is 5
    8·1 answer
  • What’s the answer to this?!
    8·2 answers
  • HELP ASAP PLEASE
    9·2 answers
  • What does 3/5 + 2/5=
    13·2 answers
  • Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!