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
katen-ka-za [31]
3 years ago
9

The longest diagonal

Mathematics
1 answer:
Ratling [72]3 years ago
8 0
The diagonals are:
diagonal₁=2x+3y
diagonal₂=(x+8)+(2y+5)
We have to solve the following system of equations:
2x=3y
(x+8)=(2y+5)
We solve this system by substitution method:
2x=3y  ⇒x=3y/2

(3y/2 +8)=2y+5
3y+16=4y+10
-y=-6
y=6

x=3y/2=3*6/2=9

we obtain the measure of the diagonals:
diagonal₁=2x+3y=2*9+3*6=18+18=36
diagonal₂=(x+8)+(2y+5)=(9+8)+(2*6+5)=17+17=34

Answer: The longest diagonal is 36 units. 
You might be interested in
How do you graph quadratic functions
NARA [144]

Answer:

you can plug it into a graphing calcuator right? or no

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
¿El número 10.452 es divisible por 2, 3, 5, 6 y 10?
Papessa [141]
2,3,6 - yes
5,10 - no

6 0
3 years ago
Cool Scoops ice cream shop offers 60 different one-topping sundaes. If there are 5 flavors of ice cream, how many toppings are t
Alja [10]
How you would solve this problem is: 

60 divided by 5 = 12 

So there will be 12 toppings. 
3 0
3 years ago
Read 2 more answers
When 4x + 4x + 1 = 33 is solved, the result is:
butalik [34]

Answer:

x = 4

Step-by-step explanation:

1. 8x+1 = 33 and the 4x together

2. 8x = 32 subtract 1 from each side

3. x = 4 Divide both sides by 8

6 0
2 years ago
Read 2 more answers
Plz help me well mark brainliest if correct!!
bearhunter [10]

Answer:

The answer is Schedule B

3 0
3 years ago
Read 2 more answers
Other questions:
  • The amount of money that college students spend on rent each month is usually between $300 and $600. However, there are a few st
    11·2 answers
  • The wholesale price of a TV is 55% less than the retail price. Therefore, the wholesale price is _____ times the retail price.
    7·2 answers
  • 7÷2761 long division
    7·1 answer
  • X-3÷4x^4-8x^3-18x^2+17x+3​
    7·1 answer
  • Given: ΔXYZ
    11·1 answer
  • It takes Ms. Campbell 5 times as long as it takes Ms. Dorsey to paint a room. If Ms. Dorsey
    13·1 answer
  • Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14
    9·2 answers
  • A rectangle has a length of 14 inches and a width of 1 foot. What is the area in square inches?
    9·1 answer
  • Simplify the inequality​
    14·2 answers
  • Flve tickets to a carnlval cost $45. How much would seven<br> tickets cost?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!