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
ArbitrLikvidat [17]
3 years ago
15

This system has one solution.

Mathematics
2 answers:
erica [24]3 years ago
7 0

Answer:

The y-coordinate of the solution is, 10

Step-by-step explanation:

Given the system of equation:

y = -2x+4            ....[1]

y=x^2+4x+13         ....[2]

Equate the equation [1] and [2] we have;

-2x+4 = x^2+4x+13

Add 2x to both sides of an equation:

4 = x^2+6x+13

Subtract 4 from both sides we have;

0= x^2+6x+9

or

x^2+6x+9=0

Using perfect square:

(x+a)^2 = x^2+2ax+a^2

⇒We can write the equation as:

x^2+2 \cdot 3x+3^2=0

then;

(x+3)^2 = 0

⇒x+3 = 0

Subtract 3 from both sides we have;

x = -3

Substitute value of x in [1] we have;

y = -2(-3)+4

⇒y =6+4=10

Solution for the given system of equation = (-3, 10)

Therefore, the  y-coordinate of the solution is, 10

matrenka [14]3 years ago
4 0
Hello there!
I have just taken the test on this answer and I got 10...
I hope this helps!!
You might be interested in
Do I have this one correct
nikklg [1K]

Answer:

Option B is correct

Step-by-step explanation:

Given is a cos funciton.

Period = 3

Max = 20 and minimum =0

Hence centre line is y = 1/2 (max+min)

i.e. y =10 is the central line

Let the funciton be of the form

y = a cos (bx+C)+d

We got d = 10...i

Period =3

Hence b = \frac{2\pi}{3} ... ii

Amplitude = a = distance of max from central line = 20-10 =10...iii

Since reflection over x axis, sign of a =negative

a=-10

Since no horizontal shift, c=0 ... iv

Put to gether the function is

y=-10cos\frac{2\pi x}{3} +10

8 0
3 years ago
If ΔABC is reflected over the x-axis and vertex B has coordinates (2, 7), what are the coordinates of vertex Bʹ?
Irina-Kira [14]
A reflection over the x-axis only change the signal of the coordinate y of the point. Hence, the coordinates of vertex B' are: B'(2,-7).
7 0
3 years ago
Yo can someone plz help me plz
katrin2010 [14]
I’m not very good at math but I think it’s C but i could be wrong though.
5 0
3 years ago
Read 2 more answers
Which graph represents the solution for the equation 5x-2=4
Jet001 [13]

You didnt list any graph?? Can you add it please :)

7 0
4 years ago
Read 2 more answers
–81, 108, –144, 192, ... Which formula can be used to describe the sequence? f(x) = –81 (4/3) X-1 f(x) = –81 (-3/4) X-1 f(x) = –
WITCHER [35]
<span> f(x) = –81 (4/3) X-1 f(x) = –81 (-3/4) </span>
3 0
4 years ago
Read 2 more answers
Other questions:
  • What’s the distance between (-2,1) and (4,3)
    7·1 answer
  • In the figure shown DE = 7x-13 and DF =3x+3 what is the length of DF?
    12·1 answer
  • Help me with the last question Brainliest
    14·1 answer
  • 』『』『』『』『』『』『』『』『』『』『『』『』『』『』『』『』『』『』『』『』『』『』『』』『『』『」」』『))………………………
    14·2 answers
  • How would you do this algebra question?
    14·2 answers
  • Which of the below is not one of the properties of logarithms?
    12·1 answer
  • Evaluate 8+3e when e = 2
    10·2 answers
  • If (h + h) · (h. h) = 16, find the value of h.<br> — HELP ME PLEASEEEE
    13·1 answer
  • 1, Is this triangle a right triangle? Explain.
    13·1 answer
  • A jewellery store paid a unit price of $250 less 40%, 16 1/3 %, for a shipment of designer watches . The store's overhead is 65%
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!