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
djverab [1.8K]
3 years ago
5

QUESTION 10

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

Step-by-step explanation:

A = L * W

A = 22

L = 2x + 1

W = 3x + 1

now we sub

22 = (2x + 1)(3x + 1)

22 = 6x^2 + 2x + 3x + 1

22 = 6x^2 + 5x + 1

6x^2 + 5x + 1 - 22 = 0

6x^2 + 5x - 21 = 0 <======part A

(3x + 7)(2x - 3) = 0

3x + 7 = 0          2x - 3 = 0

3x = -7               2x = 3

x = -7/3              x = 3/2

I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure

length = 2x + 1.......2(3/2) + 1........3 + 1 = 4

width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===

You might be interested in
Shannon pours 4 different liquid ingredients into a bowl. The sum of the liquid ingredients is 8.53 liters. Two of her measureme
saveliy_v [14]
All you have to do is multiply those two numbers and whatever u get is ur answer
4 0
3 years ago
Casey likes to run. She runs an additional 1/4 mile each day. On the last day, she ran 1 1/4 miles. If she ran 1/2 mile her firs
Salsk061 [2.6K]
Three days,
1 1/4 = 5/4  
1/2= 2/4
2/4+1/4= 3/4 the first day
5/4-3/4= 2/4 
2/4 = 1/4 and 1/4 = two days
the first day+ two days= 3 days
3 0
3 years ago
Read 2 more answers
Divide (15x^2+x-8)/(3x-1)
blondinia [14]
<span>Simplifying -15x2 + -2x + 8 = 0
 Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
 Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
 Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
 Combine like terms: 0 + -2 = -2 -3x = -2
 Divide each side by '-3'. x = 0.6666666667
 Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
 Simplifying 4 + 5x = 0
 Solving 4 + 5x = 0
 Move all terms containing x to the left, all other terms to the right.
 Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
 Combine like terms: 0 + -4 = -4 5x = -4
 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
Solutionx = {0.6666666667, -0.8}</span>
4 0
3 years ago
Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V an
Nookie1986 [14]
78 degrees mArc V X in the diagram
4 0
3 years ago
Give the equations of 3 lines that are parallel to the line with the equation y=3x+2
ruslelena [56]
Y= 3x + 1
Y = 3x + 3
Y= 3x + 4
6 0
2 years ago
Other questions:
  • How many edges does a rectangular prism have?<br> 6<br> 8<br> 0 10<br> 0 12
    9·2 answers
  • Subtract 9x2 – 7x from – 4x2 + 6.
    14·1 answer
  • 10 points for this question!!!!!! Please answer like
    6·1 answer
  • There are three consecutive integers. The sum of the first two is 51 more than the third. Find the integers.
    13·1 answer
  • A triangle has sides of length 7 cm, 12 cm, and 15 cm. What is the measure of the angle opposite the side that is 7 cm long? Rou
    14·2 answers
  • The multiplicative inverse of - 5 and 10v - 5
    14·1 answer
  • Given g(x)=30-6x, find g(-4)=____?
    8·1 answer
  • 4) Chelsea has homework in six subjects.<br> She is deciding what order to complete<br> them in
    11·1 answer
  • What is the solution to the equation? 1/2n + 3 = 6​
    11·1 answer
  • Start Time: 8:10 A.M.<br> End Time: 10:55 A.M.<br> Elapsed Time:
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!