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
Arturiano [62]
3 years ago
12

How can x^2=x^2+2x+9 be set up as a system of equations

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer: \left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.

Step-by-step explanation:

1. As you can see, x^{2} is equal to the other quadratic equation x^2+2x+9.

2. Then, this would the same as write the quadratic equations as following:

y=x^{2}

y=x^2+2x+9

3. And then set them equal to each other, as you can see below:

y=y

Substituting, you obtain:

x^{2}=x^2+2x+9

3. Keeping the above on mind, you can set up the given equations as a system of equations as folllowing:

\left \{ {{y=x^{2} } \atop {y=x^2+2x+9}} \right.

You might be interested in
Rhombus lmno is shown with its diagonals. The length of ln is 28 centimeters. What is the length of lp? 7 cm 9 cm 14 cm 21 cm.
rodikova [14]

Answer:

14cm

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
C) Make k the subject of the formula t = ak/ 20
stiks02 [169]

Answer:

k=20t/a

Step-by-step explanation:

20t=ak

20t/a=k

k=20t/a

4 0
2 years ago
A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in
nordsb [41]

Answer:

h'(t) = -12.6 t +53

Now we can set up the derivate equal to 0 and we have:

-12.6 t +53 = 0

And solving for t we got:

t = \frac{53}{12.6}= 4.206

For the second derivate respect the time we got:

h''(t) = -12.6

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

h(t) = -6.3t^2 +53 t+24

In order to maximize this function we need to take the first derivate respect the time and we have:

h'(t) = -12.6 t +53

Now we can set up the derivate equal to 0 and we have:

-12.6 t +53 = 0

And solving for t we got:

t = \frac{53}{12.6}= 4.206

For the second derivate respect the time we got:

h''(t) = -12.6

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0
3 years ago
Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has
never [62]

Answer:

xx times yy=270

Step-by-step explanation:

3 0
3 years ago
A car is traveling at a steady speed. It travels 2 1/2
Ksivusya [100]

Answer:

It will travel

33 \frac{1}{4}  \: miles

in 45 minutes.

Step-by-step explanation:

We can solve using proportions.

\frac{ 2\frac{1}{2} \: miles}{ 3\frac{1}{3} \: minutes}  =  \frac{x}{45 \: minutes} \\  \\  \frac{ 3\frac{1}{3} x}{ 3\frac{1}{3} }  =   \frac{ 112\frac{1}{2} }{ 3\frac{1}{3} }    \\  \\  x = 33\frac{3}{4}

6 0
3 years ago
Other questions:
  • In a large lecture hall there are 300 students of which 160 are male and 165 are female. If one student is selected at Radom det
    9·1 answer
  • You are given a circle of radius 12. What is the segment area of an arc that is 90 degrees?
    8·1 answer
  • Which of the following fractions compares BC to BD? coordinate plane with segment BD at B 0 comma 1 and D 5 comma 1; point C is
    8·1 answer
  • I have 3 puppies and 13 kitty's they have 6 or 9.How many kids do kitty's and puppies
    13·1 answer
  • Thomas is making a square frame for his painting. He is using 4 pieces of wood that are each 1.5 feet long. How much wood will h
    15·1 answer
  • attention people of brainly their are a bunch of fraudulent accounts saying they put the answers on a file hosting (cutt) and to
    7·2 answers
  • What is 9/20 written as a decimal and percent?
    15·1 answer
  • Convert this decimal into its fractional form, simplified completely.<br><br> 0.125
    8·1 answer
  • What is the length of side a?
    9·1 answer
  • What is the value of the discriminant<br> of 3x2 + 4x + 5=0 ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!