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
kvv77 [185]
3 years ago
8

Please Help Keep getting 6.4

Mathematics
2 answers:
elixir [45]3 years ago
8 0

Answer:

r = 3

Step-by-step explanation:

x^2 + 6x + y^2 - 8y = - 16

Take half the linear term and square it.

x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16

Add the squared amounts to the right.

x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16  

Combine on the right.

x^2 + 6x + 9 + y^2 - 8y + 16 = 9

Represent the 2 quadratics as perfect squares.

(x + 3)^2 + y - 4)^2 = 9

The radius is the square root of 9 which is 3

cestrela7 [59]3 years ago
8 0

Answer:

radius=3

Step-by-step explanation:

Given:

x^2 +6x +y^2 - 8y=-16

completing the squares

: x^2 +6x +9 = (x+3)^2

:y^2-8y+16 = (y-4)^2

(x+3)^2 + (y-4)^2 -9-16=-16

(x+3)^2 + (y-4)^2=-16+9+16

(x+3)^2 + (y-4)^2=9

Now comparing with standard equation of circle i.e. (x-h)^2 + (y-k)^2=r^2, we get

origin(h,k)= (-3,4)

r=3 !

You might be interested in
The sum of the reciprocal of a number and 5/6 is 13/12. Find the number.
ddd [48]

\frac1x+\frac56=\frac{13}{12}\ \ \ \ |\cdot12\\ 12\cdot\frac1x+12\cdot\frac56=12\cdot\frac{13}{12}\\ \frac{12}x+\frac{60}6=13\\ \frac{12}x+10=13\ \to \ \frac{12}x=3\ \to \ \boxed{x=4}

4 0
3 years ago
Read 2 more answers
The value of -9(square root) is not-3 because
love history [14]

Answer:

A)  (-3)^{2} \neq -9

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What are two ratios that are equivalent to 1:1
kow [346]

Equivalents to 1:1 -

2:2

3:3

4 0
3 years ago
Read 2 more answers
Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
pochemuha

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

4 0
3 years ago
1/5(x+2)+2x=6x-10 what does x=
Ber [7]
The answer to this problem is x = 52/19 = 2.737... I hope...
8 0
3 years ago
Other questions:
  • The formula relating the forces is xd= y (L-d). What formula can you use to find the length of the lever?
    10·1 answer
  • Through what angle does the bowling ball turn as it travels the length of the lane
    7·1 answer
  • Plz help me: what is the solution for : |x| -6 = 4
    11·2 answers
  • 0.0000003105 in scientific notation
    8·2 answers
  • If the polynomial 6x6 – 4x5 + 9x – 6 is to be factored by grouping, which step should be taken?
    6·1 answer
  • Question 17
    6·2 answers
  • HELP ASAP
    11·1 answer
  • B: 8 square root 3 <br> C: 8 squeals root 3 over 3 <br> D: 16 square root 3<br> E: 24
    9·1 answer
  • Help me with my hw pleaseeee​
    6·1 answer
  • What are two different ways you could find the value of a? Explain these methods.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!