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
kati45 [8]
2 years ago
5

Trapezoid ABCD is graphed in a coordinate plane.

Mathematics
1 answer:
Ann [662]2 years ago
8 0

Answer:

12

Step-by-step explanation:

he coordinates of the vertices of the trapezoid ABCD are:

A=(-5,-2)=(xa,ya)→xa=-5, ya=-2

B=(-1,2)=(xb,yb)→xb=-1, yb=2

C=(0,-1)=(xc,yc)→xc=0, yc=-1

D=(-2,-3)=(xd,yd)→xd=-2, yd=-3

yi x(i+1)        xi     yi     xi y(i+1)

                 -5    -2

(-2)(-1)=2     -1      2     (-5)(2)=-10

(2)(0)=0       0     -1     (-1)(-1)=1

(-1)(-2)=2    -2    -3     (0)(-3)=0

(-3)(-5)=15   -5    -2     (-2)(-2)=4

S1=-10+1+0+4→S1=-5

S2=2+0+2+15→S2=19

Area: A=(1/2) Absolute value (S1-S2)

A=(1/2) Absolute value (-5-19)

A=(1/2) Absolute value (-24)

A=(1/2) (24)

A=24/2

A=12

The area of the trapezoid is 12 square units

You might be interested in
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
FinnZ [79.3K]

Answer:

The ball reaches a height of 29.25 ft after 1.125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(36)/2(-16)

-36/-32

1.125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 36t + 9

h = -16(1.125)^2 + 26(1.125) + 9

29.25 feet

6 0
3 years ago
Read 2 more answers
Fitness experts advise people who want to lose weight to drink protein shakes after workout sessions, because it helps build mus
Artemon [7]

Answer:

Part A

The probability of the treatment groups mean being greater than the control group mean by 8points or more = (26+8+2)/1000 = 0.036

Part B

Yes, the result is statistically significant because the probability of the difference being 8point or more is less than 5% significant level

Part C

The answers is 0.036 means that there is a very little chance of obtaining difference of 8points or more by random chance. So, if the difference between treatment group mean and control group mean is at least 8 , then the result is significant which means protein shaken is actually helpful in speeding up the weight-10 process

6 0
3 years ago
Can you show me the graph for f(x) = 1/2 x + 2
frez [133]

Here is the graph with your line in it.

4 0
3 years ago
Read 2 more answers
Does the given value make the inequality true? x + 9 > 21, when x = 15
Verizon [17]

Answer:

yes, the inequality is true.

Step-by-step explanation:

15 + 9 = 24

24 > 21

5 0
3 years ago
Complete the steps to find the difference
zalisa [80]

Answer:

3x² - 9x + 5

Step-by-step explanation:

Given

(5x² - 3x + 4) - (2x² + 6x - 1)

Distribute the first parenthesis by 1 and the second by - 1

= 5x² - 3x + 4 - 2x² - 6x + 1 ← collect like terms

= (5x² - 2x²) + (- 3x - 6x) + (4 + 1)

= 3x² - 9x + 5

3 0
3 years ago
Other questions:
  • Which ordered pairs are solutions to the inequality y−4x≤−6 ?
    5·1 answer
  • Three people own all of the stock in a company.one person owns 1/3 of the stock.which of the following could be the fractional p
    14·1 answer
  • What is the equation of the line best fit for the following data? Round the slope and y-intercept of the line to three decimal p
    14·2 answers
  • when inches are converted to centimeters, is the number of centimeters greater or less than the number of inches?
    12·1 answer
  • Write each of these numbers inside the correct loop. (5 6 10 11 24 25)
    7·1 answer
  • 17. Determine which point lies in the solution of the system: y< -1x+2, y ≥ 3x - 4
    13·2 answers
  • Answer the question. Will give Brainliest to whoever gets it right.
    10·1 answer
  • I need help can someone help me
    5·2 answers
  • Solve the system of equations:
    7·2 answers
  • What is the GCF of 2ab + 8b?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!