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
Artemon [7]
3 years ago
6

Solve system by elimination y=x^2 y=x+2 SHOW YOUR WORK

Mathematics
1 answer:
Dimas [21]3 years ago
3 0
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


You might be interested in
-3/8a + 3.2b + (-6b) -1/4a<br><br> I am not sure about this question please help!
expeople1 [14]

Answer:

-5/8a - 2.8b

Step-by-step explanation:

-3/8a + 3.2b + (-6b) - 1/4a

=> -3/8a + 3.2b + (-6b) - 2/8a

=> -5/8a + 3.2b - 6b

=> -5/8a - 2.8b

Therefore, -5/8a - 2.8b is the solution to your problem.

Hoped this helped.

5 0
2 years ago
2) There are 40 boys and 60 girls in a class of students. What is the ratio of girls to students
ra1l [238]

Answer:

60:100, 6/10, 3/5, 6 to 10, etc.

Step-by-step explanation:

You take the number of girls over total students which is boys + girls. Since there's 40 boys and 60 girls, it's 60 girls to 100 students which can be written in several ways.

8 0
2 years ago
Read 2 more answers
Solve for C:<br><br> C + 8 = -11<br><br> C = _____
stiv31 [10]
Well what +8 will be -11.
Let’s take this as positives.
8+11=19
Sooo
-19+8=-11
C=-19
7 0
3 years ago
Read 2 more answers
Solve. Dante's mom made 2 liters of cocoa. Dante and his 7 friends each drank a serving of cocoa. If each serving is 235 millili
blsea [12.9K]

Answer:

120 millimeters or 0.12 liters

Step-by-step explanation:

To solve this question :

  1. we have to convert liters to millimeters
  2. multiply the serving of coca by the number of people that consumed the coca
  3. subtract the answer gotten from the step above from 2 litters

1 liter = 1000 millimeter

2 liters = 2 x 1000 = 2000mm

8 people drank cocoa = 8 x 235 = 1880mm

Amount of cocoa left over = 2000 - 1880 = 120mm or 0.12 liters

5 0
3 years ago
I don’t understand this subject at all if you wold answer that would be a big help
Digiron [165]

Answer:

d= 8.6 ft

Step-by-step explanation:

In similar triangles, the corresponding sides are in proportion.

\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}

To find the value of x,

\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d

d = 8.6 ft

4 0
2 years ago
Other questions:
  • -4+6(-4x+3) please help
    10·2 answers
  • What is another way to describe the following expression?<br> 5−(x+y)tothepowerof3
    7·1 answer
  • Helpppppp please thank you
    8·2 answers
  • ALGEBRA 2 <br> *need work to be shown *<br> solve the following equation x^2 + 27=-9
    8·2 answers
  • Identify 12Pı using factorials.
    5·1 answer
  • -5(1 - r) - 2<br> Find r
    7·1 answer
  • Pls answerr...................................
    11·1 answer
  • How are same side interior angles related to one another?​
    9·2 answers
  • Point giveaway. Answer something random and you will get 17 points.
    10·2 answers
  • Simplify:<br> (12+14) x 8+ (8² +4²) =
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!