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
Vika [28.1K]
2 years ago
13

The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm lo

nger than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.
PLEASE HELP
Mathematics
1 answer:
marysya [2.9K]2 years ago
7 0

Answer:

Step-by-step explanation:

Let x be the adjacent side length in cm

opposite side is x + 2 cm

hypotenuse is x + 4 cm

x² + (x + 2)² = (x + 4)²

x² + (x² + 4x + 4) = (x² + 8x + 16)

x² - 4x - 12 = 0

(x - 6)(x + 2) = 0

so either

x - 6 = 0    x = 6

or

x + 2 = 0    x = -2

positive answer is x = 6 as negative length does not make sense

opposite side is 6 + 2 = 8

hypotenuse is 6 + 4 = 10

perimeter is 6 + 8 + 10 = 24 cm

You might be interested in
Find x, y, and z. plsssssssssssssssssss
Alona [7]

Answer:

z= 104

y=76

x=76

Step-by-step explanation:

z+76= 180. solve for z

z=x

y=76

3 0
2 years ago
Select the correct answer from each drop-down menu.
ruslelena [56]

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

  • The independent variable is the input of the relation
  • The dependent variable is the output of the relation
  • The values of dependent variables depend on the values of independent variables
  • When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months:  0       :  1         :  2       :  3          :  4

→ Number of Fish      : 1,024 :  1,280 :  1600 :  2,000  :  2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

   is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

<u><em /></u>

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0
3 years ago
What is the measure of angle A? <br> 180° <br> 79°<br> 34°
solong [7]

Answer:

180

Step-by-step explanation:

mark brainliest please

7 0
3 years ago
Read 2 more answers
CAN I ALSO GET AN EXPLANATION PLEASE!​
ddd [48]

Answer:

ok no prob ...........lolllllll

7 0
3 years ago
Expand and simplify 5(3x+2)-2(4x-1)
blsea [12.9K]

5(3x+2)-2(4x-1)

= 15x+10-8x+2

= 7x+12

6 0
1 year ago
Other questions:
  • I need a lot of questions answered, I'm sorry!
    11·1 answer
  • What is the phase shift of y = –csc(3x − π)?
    7·2 answers
  • 5. Solve 6(x - 1) = 6x - 6​
    7·2 answers
  • A gardening company plants 10 trees in 2 hours.
    9·2 answers
  • Please help to the best of your ability .
    6·1 answer
  • What is the range of the function?
    7·1 answer
  • 5. At the Copy Center, 19 copies cost $1.14. At that rate, how much will 50 copies
    13·2 answers
  • Cheryl spent $45 for three scarves and a bracelet. She knows that the cost of the
    5·2 answers
  • In a 24 polygon, 23 of the exterior angles add to 310 degrees. What is the measure of the 24th exterior angle?
    11·1 answer
  • Point M is the midpoint of CD. What is the value of a in the figure?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!