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
bija089 [108]
4 years ago
15

What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t

he box.
Mathematics
1 answer:
agasfer [191]4 years ago
4 0

Answer:

  \boxed{90}\,\text{units$^2$}

Step-by-step explanation:

The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:

  Area = (Base)(Height) = (18 units)(5 units) = 90 units²

You might be interested in
36 is on 0.9% of what number<br><br>help fast
Dmitriy789 [7]
The answer would be 4000
3 0
3 years ago
What is the value of 6 + 2x when x = 5?<br><br> (A) 4<br> (B) 13<br> (C)16<br> (D) 40
jasenka [17]

so x=5

substituting for x in the equation we get:

6+2 \times 5 \\  = 6 + 10 = \\  = 16

Ans C: 16

4 0
3 years ago
100 points!!!
Bogdan [553]

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

<u>Proof</u>

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

8 0
3 years ago
Lewis has 13 cats and 2 dogs. How many animals does he have in all?
Stels [109]

Answer:15

Step-by-step explanation:13 +2 = 15

4 0
3 years ago
Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.
a_sh-v [17]

Using it's concept, it is found that the relative frequency  probability of rolling an even number based on this experiment is \frac{11}{25}.

A relative frequency is the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • 50 dices are thrown, hence T = 50.
  • 22 resulted in an even number, hence D = 22

The <u>relative frequency</u> is given by:

f = \frac{D}{T} = \frac{22}{50} = \frac{11}{25}

A similar problem is given at brainly.com/question/20630951

8 0
3 years ago
Other questions:
  • A.<br> 18<br><br><br> B.<br> 36<br><br><br> C.<br> 72<br><br><br> D.<br><br><br> 216
    13·2 answers
  • What is the value of the discriminant for the quadratic equation -3=-x^2+2x? discriminant =b^2-4ac
    5·2 answers
  • A violin student records the number of hours she spends practicing during each of nine consecutive weeks. 6.2 5.0 4.3 7.4 5.8 7.
    15·1 answer
  • 0.8 more than c times 10
    12·1 answer
  • Find the hcf of 144 and 180. if it is expressed in the form 13m-3, find the value of m​
    5·2 answers
  • What is the word form of 872,403,159
    15·2 answers
  • Please give me an answer
    13·2 answers
  • A sector with an area of 140pi cm2 has a radius of 20 what is the central angle in degrees
    11·1 answer
  • find the values x and y given : m is parallel to n, angle 4= 6x-5, angle 10 = 5x + 8, angle 9 = 3y - 10
    7·1 answer
  • Dan made 8 out of 10 free throws. What is the experimental probability that he will not make his next free throw? What is the th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!