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
ololo11 [35]
3 years ago
9

Determine if (-2,6) and (4,12) are solutions to the system of equations:

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

(6) = (-2)+8 = 6

The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

2(6) = (-2)^2+8=4+8=12

The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

(12) = (4)+8 = 12

Step 4: Plug (4,12) into 2y=x^2 + 8

2(12) = (4)^2+8=16+8=24

The solution verifies both equations. Therefore, (4,12) is another solution to this system.

You might be interested in
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &
iren [92.7K]

Answer:

Option A is correct.

Step-by-step explanation:

64 < x < 68

This inequality represent that the height x should be greater than 64 and less than 68.i.e.

x>64 and x<68

So, Option A is correct.

8 0
3 years ago
What is the range of this graph
Arlecino [84]

Answer:

[0,12]

Step-by-step explanation:

7 0
3 years ago
The product of five times p and seven times q is
enot [183]

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

7 0
3 years ago
Read 2 more answers
Find the missing length indicated<br><br> Thank you!
Novay_Z [31]

Answer:

C

Step-by-step explanation:

The big triangle and small triangles are similar so their corresponding sides are in proportion.

x/15 = 15/9

x= 15*15/9

x=25

6 0
2 years ago
Simplify (−6.5)(2)(−5). 65 6.5 −6.5 −65
lana [24]

Answer:

65

Step-by-step explanation:

(-6.5)(-5) = +32.5, and then

(32.5)(2) = 65 (answer)

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of X?
    5·1 answer
  • A teacher wanted to buy a chair, a bookshelf, two tables and a desk. She spent $900 for all five items and the chair and the des
    5·1 answer
  • 8912 butterflies on one branch they estimate 1000 times as large. How many butterflies were at the site in all?
    9·2 answers
  • Why is it difficult to find length of the hypotenuse the same way the length of the legs can be found?
    10·2 answers
  • What does this mean, what does the negative sign in front of the parenthesis mean? -2= -(n-8)
    13·1 answer
  • Guys I need help on this question
    9·1 answer
  • Someone please HELP ME I NEED HELP PLEASEEEE!!!....<br> https://brainly.com/question/20140012
    12·1 answer
  • Anyone help giving 5 stars
    11·1 answer
  • 8 stones and 2 pounds − 4 stones and 2 pounds
    6·1 answer
  • A racerunner is 26. 7 cm long. How much less than a meter is this?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!