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
Fed [463]
2 years ago
9

17) The measures of two sides of a triangle are (2x + 3y) and (5x – 2y). If the perimeter

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
4 0

Answer:

  5x +4y

Step-by-step explanation:

The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.

  (2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter

  z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides

  z = 5x +4y . . . . . . . . . collect terms; the length of the third side

The third side of the triangle is (5x +4y).

You might be interested in
18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a
Readme [11.4K]

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

7 0
3 years ago
Simplify 7x + 7 + 6x - 9.<br><br> 13x - 2<br> 13x + 2<br> 11x
nikklg [1K]
To do this you must combine like terms as follows.

7x + 6x = 13x
7 - 9 = -2 

Combine these together and you will get the following.

13 - 2 or -2 +13
7 0
3 years ago
Read 2 more answers
What is the distance between (12, -7) and (-3, -7)?
gladu [14]

Answer:15 units

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why there really be people with no life deleting questions even though people are just trying to connect and stuff like bruh you
nataly862011 [7]

Answer:

ikr

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve for x in the equation x^-8x + 41 = 0
Sav [38]

solve the equation for X by finding a,b, and c of the quadratic then applying the quadratic formula.

8 0
2 years ago
Other questions:
  • What is 4,7,12,19,28 in quadratic form
    14·1 answer
  • Kenya wants to buy a car. Dealer A said she could pay $2000 upfront and $150 per month after. When will she have paid $3500
    12·2 answers
  • Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x^2+y^2=1
    8·1 answer
  • Question 6
    15·1 answer
  • How many solutions does the following system of equations have?
    5·1 answer
  • Find the critical value zα/2 that corresponds to a 93% confidence level.
    15·1 answer
  • Whats 43.6 rouded to the nest tenth
    11·1 answer
  • The distance to school from Steven's house is 3/5 of a mile. Steven walked 2/3 of the way there and stopped to rest. How far did
    11·1 answer
  • Subtract -1 3/5 - ( -2 7/8) Enter your answer as a simplified fraction by filling in the boxes
    12·1 answer
  • An integer by -3 is 21 what is the integer? Can someone help me with this and show the work for it​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!