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
mixas84 [53]
3 years ago
5

Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)​

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

A=\left(\dfrac{b_1+b_2}{2}\right)h

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13

Putting it altogether:

A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44

So the area of our trapezoid is 44.

You might be interested in
What is the area of the composite figure?
lana [24]

Hello! :)

\large\boxed{A = 32.5cm^{2}}

We can use the following area to solve for the area of the trapezoid pictured:

A = \frac{1}{2}(b_{1} + b_{2})h

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

A = \frac{1}{2}(9 + 4)(5)

Simplify:

A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}

8 0
2 years ago
What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18
DanielleElmas [232]

\text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3

4 0
2 years ago
Read 2 more answers
60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4<br> show work
earnstyle [38]

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find  the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

6 0
2 years ago
Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).
den301095 [7]
   ( x, y )  → ( x-3, y+4 )
A ( 1, 1) → A' (1-3, 1+4)      A' (-2, 5)
8 0
3 years ago
Read 2 more answers
1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the
son4ous [18]
<span>(a) $7.04 (b) 704/1599 (c) 0.44 (d) 14 (e) $98.56 (a) How much profit does Lucy earn when she sells a necklace? Since the problem states that her profit is the sale price minus the cost of materials and labor, we have the following equation. P = $15.99 - $3.38 - $5.57 P = $12.61 - $5.57 P = $7.04 So her profit is $7.04 per necklace. (b) Write a fraction of the profit per sale price of the necklace. Record your answer as a fraction using whole numbers. The raw fraction is 7.04/15.99, to get rid of the decimal point, multiply top and bottom by 100, getting 704/1599. The prime factors of 704 are 2,2,2,2,2,2,11 and the prime factors of 1599 are 3,13,41. Since neither 704, nor 1599 share any common factors, the fraction can't be reduced and the final answer is 704/1599. (c) What decimal of every dollar of the sale price of the necklace is profit using the fraction from Part (b)? Pardon the lack of formatting 704/1599 = 0.4403 Rounded to the nearest hundredth gives 0.44 (d) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? Show your work. This question is asking for total cost. So divide the $223.86 by the sale price of $15.99. $223.86 / $15.99 = 14 14 necklaces were sold. (e) How much profit did she earn from the number of necklaces she sold? Show your work. Since we know from (a) that she has $7.04 profit per necklace, just multiply the amount of profit by the number sold. So $7.04 * 14 = $98.56</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is an arithmetic sequence?
    5·1 answer
  • A number y is at least 3 and is less than 10
    6·1 answer
  • How do u write 4,584.01 in scientific notation​
    11·1 answer
  • Two families stayed at the same hotel in identical rooms. The first family stayed for 5 nights and paid extra to use a rollaway
    12·1 answer
  • Make x the subject of the formula<br><br><br> x/2c = a + 4
    12·1 answer
  • Classify the following triangle. Check all that apply.
    6·1 answer
  • Help i have 9mins left hell
    10·2 answers
  • System of equations, please help.
    14·1 answer
  • Find the value of X
    7·1 answer
  • Community Gym charges a $60 membership fee and a $70 monthly fee. Workout Gym charges a $170 membership fee and a $60 monthly fe
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!