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
pishuonlain [190]
3 years ago
8

Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

<em>The area of the triangle DEF is 10.</em>

Step-by-step explanation:

<u>Area of a Triangle:</u>

A triangle of base B and height H (both must be perpendicular) has an area of:

\displaystyle A=\frac{BH}{2}

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.

This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:

B=3-(-2)=3+2=5

Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.

H=2-(-2)=4

With these two values, we calculate the area:

\displaystyle A=\frac{5*4}{2}=10

The area of the triangle DEF is 10.

You might be interested in
60/61177.0 Round to the nearest tenth
weeeeeb [17]

60 / 61177  =  0.00098...

The next larger tenth is  0.1 .
The next smaller tenth is  0.0 .

0.00098...  is closer to  0.0  then it is to  0.1 .

60/61177  rounded to nearest tenth  =  zero.

5 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all
lakkis [162]
It’s would be y=-1x+3
6 0
3 years ago
Solve for x if the equation is 2/5(x+1)=g,
DochEvi [55]
\dfrac{2}{5}(x+1)=g\ \ \ |multiply\ both\ sides\ by\ \dfrac{5}{2}\\\\x+1=\dfrac{5}{2}g\ \ \ |subtract\ 1\ from\ both\ sides\\\\\boxed{x=\frac{5}{2}g-1}\to\boxed{x=\frac{5g-2}{2}}
4 0
3 years ago
Read 2 more answers
A jet travels 590 miles in 5 hours; how far can it travel in 11 hours. With an explanation.
White raven [17]
First divide 590 by 5 which equals 118
then take 118 and multiply by 11 which equals 1298 miles. the jet will be able to travel 1298 miles in 11 hours
5 0
2 years ago
Read 2 more answers
Distance between (-6,8) and (-3,9)
Mademuasel [1]

Answer:

\sqrt{10}

Step-by-step explanation:

Using the distance formula: d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

substitute

d = \sqrt{((-3) - (-6))^2 + ((9)-(8))^2}

\sqrt{10}

7 0
3 years ago
Other questions:
  • Use the drop-down menus to choose steps in order to correctly solve<br> 1+2b−13=12−4b−2b for b.
    12·2 answers
  • What is the exact value of sin(π/6) and tan(π/4)?
    15·2 answers
  • Which line will have no solution with the parabola y – x + 2 = x2? y = –3x –3 y = –2x –3 y = 2x –3 y = 3x –3
    5·1 answer
  • Which function is a quadratic function?
    12·2 answers
  • Which set has a wider spread, and what is the range?
    9·1 answer
  • The length of a rectangle is 3 feet more than twice the width. The perimeter is 128 feet. Find the length and width in feet.
    9·2 answers
  • What are the coordinates of the midpoint of the line segment with endpoints R(4,−7) and S(−3,5)?
    10·1 answer
  • Please help!!! Thanks!
    5·1 answer
  • What number makes the equation true?
    10·2 answers
  • Find the quadractic function to model the values in the table.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!