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
Anvisha [2.4K]
3 years ago
6

Determine if (6, 2) is a solution to the system of equations. 2x + y = 10 3x + 2y = 10

Mathematics
1 answer:
andre [41]3 years ago
3 0

Answer:

no

Step-by-step explanation:

plug 6 in for x and 2 in for y, as (x, y) = (6, 2)

first equation:

y = 1 * y

2(6) + 1(2) = 10

12 + 2 = 10

14 = 10

this is false

second equation:

3(6) + 2(2) = 10

18 + 4 = 10

22 = 10

this is false

for this to be a solution, it must fit into both equations. as this fits into neither, this is not a solution

You might be interested in
Find the area and perimeter of the room.. the vertices are 10,20 -10,20 -10,-10 10,-10
Ierofanga [76]
The numbers in this problem are ordered pairs, which are points on a graph.
These are (10, 20), (-10, 20), (-10, -10), and (10, -10).
To find the area and perimeter of this shape, you must first find the distance between each point.

Distance between (10, 20) and (-10, 20):
Since the y-value remains the same here, we just have to find the difference in x-values.
This means 10 - (-10)
A negative being subtracted is the same as a positive being added.
That means 10 - (-10) is the same as 10 + 10.
10 + 10 = 20, so the distance between (10, 20) and (-10, 20) is 20 units.

Distance between (-10, 20) and (-10, -10):
The x-values are the same here so just find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between the (-10, 20) and (-10, -10) is 30 units.

Distance between (-10, -10) and (10, -10):
The y-values are the same so just find the difference between the x-values.
10 - (-10) = 10 + 10 = 20
The distance between (-10, -10) and (10, -10) is 20 units.

Distance between (10, -10) and (10, 20):
The x-values are the same so find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between (10, -10) and (10, 20) is 30 units.

So now we know the side lengths of the room are 20 units, 30 units, 20 units, and 30 units.

To find the perimeter, add all the side lengths together.
20 + 30 + 20 + 30 = 100
The perimeter of the room is 100 units.

To find the area, multiply the length by the width.
The length is 20 units and the width is 30 units.
20 • 30 = 600
The area of the room is 600 units.

Final answers:
Perimeter = 100
Area = 600

Hope this helps!
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%20%7B%7D%5E%7Bn%20%2B%201%7D%20%20%2B%205%20%7B%7D%5E%7Bn%20%2B%202%7D%20" id="TexFormula1"
alex41 [277]

Step-by-step explanation:

there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b

then taking common 5^n from both terms

5 0
3 years ago
What are all the factors of 32? A 2, 4, 8, 16 B 1, 2, 16, 32 C 1, 2, 4, 8, 16, 32 D 2, 4, 6, 8, 12, 16, 32
Natasha2012 [34]

What are all the factors of 32?

answer : ( C ) 1, 2, 4, 8, 16 and 32.....

4 0
3 years ago
Read 2 more answers
What is equivalent fraction to 2/5
My name is Ann [436]

Answer:

4/10, 6/15, 8/20, and 10/25

Step-by-step explanation:

Hope this helps. :)

4 0
3 years ago
Read 2 more answers
Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.
jek_recluse [69]

Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

5 0
3 years ago
Other questions:
  • The corresponding sides of two similar triangles are (A.CONGRUENT .
    11·2 answers
  • Simplify.
    15·2 answers
  • Which values are solutions to the inequality below? √x ≤ 5
    8·1 answer
  • 9f+6is equivalent to 3f+2
    9·2 answers
  • The minimum and maximum distances from a focus to a point on an ellipse occur when that point on the ellipse is an endpoint of t
    8·2 answers
  • What type of angle is shown here?
    15·2 answers
  • Find the error in the following sample of work, if one exists.
    15·1 answer
  • The reciprocal of 11 over 7<br> -
    5·2 answers
  • Emily bought 4 identical pairs of socks for £3.60 Work out the cost of 9 pairs of these socks
    11·2 answers
  • PLEASE Write an equation for this line and then state if it has a positive or negative slope. I am NOT GooD AT SlopE Stuff Lol
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!