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
Rama09 [41]
3 years ago
13

A parallelogram has a base of length 2x + 1 and a height of x + 3 and has an area of

Mathematics
2 answers:
storchak [24]3 years ago
7 0

Answer:

  • base 7
  • height 6

Step-by-step explanation:

Using the given expressions, we can write the area as ...

  A = BH

  42 = (2x +1)(x +3) = 2x^2 +7x +3

  2x ^2 +7x -39 = 0

  (x -3)(2x +13) = 0

  x = 3   or   -6.5  . . . . .  these values make the factors be zero

In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...

  base = 2(3) +1 = 7

  height = 3 +3 = 6

worty [1.4K]3 years ago
4 0

Answer: height = 6 units

Base = 7 units

Step-by-step explanation:

The formula for determining the area of a parallelogram is expressed as

Area = BH

B = 2x + 1

H = x + 3

If area = 42 square units, then

(2x + 1)(x + 3) = 42

2x² + 6x + x + 3 = 42

2x² + 7x + 3 - 42 = 0

2x² + 7x - 39 = 0

2x² + 13x - 6x - 39 = 0

x(2x + 13) - 3(2x + 13) = 0

x - 3 = 0 or 2x + 13 = 0

x = 3 or x = - 13/2 = - 6.5

Since x cannot be negative, then x = 3

Therefore,

Base = 2x + 1 = 2 × 3 + 1 = 7 units

Height = x + 3 = 3 + 3 = 6 units

You might be interested in
Select all that apply.
Firdavs [7]
The point was reflected over the y-axis and translated up 4 units, because when it was reflected over the y-axis, the coordinates became (-5, -2), and after getting translated up 4 units, the coordinates became (-5,2).
8 0
3 years ago
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
Anettt [7]
<h3>Answer: B) f(x) is translated 5 units up</h3>

Recall that y = f(x) since both are outputs of a function

Saying f(x)+5 is the same as y+5. So we're adding 5 to each y coordinate of each (x,y) point. A point like (1,7) turns into (1,12) after doing this shifting.

Doing this to every point shifts the entire f(x) curve 5 units up to get g(x)

5 0
3 years ago
The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the heigh
Allisa [31]

Answer:

16

Step-by-step explanation:

10 · 4 = 40

640/40= 16

4 0
2 years ago
84×3=3×84 is what property
Katarina [22]
My property ..............................
6 0
3 years ago
Janine has 86 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Ja
wel

Answer:

ur pfp... pls get help NOWWW

Step-by-step explanation:

pls stop this madness

8 0
2 years ago
Other questions:
  • Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5
    6·1 answer
  • How to find the centroid of a cone with radius r and height h?
    14·1 answer
  • What is 3 5/6 simplified
    14·1 answer
  • Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at ne
    13·1 answer
  • Triangle base is 2.4 what is the height
    8·1 answer
  • X² + 4x – 32<br>x2 + x - 20​
    13·1 answer
  • Lara and Mae participated in a quiz contest. They scored 23 points in all. If Lara scored 9 points, how many points did Mae scor
    9·1 answer
  • If you increase an amount by 3 percent what is the single multiplyer
    10·2 answers
  • A test was given to a group of students. The grades and gender are summarized below
    9·1 answer
  • Elizabeth rolls a die 108 times. How many times can she expect to roll a 2?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!