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
MAXImum [283]
4 years ago
7

Question: Consider the equation x2 + y2 – 10x + 6y = 15. A. Complete both squares in the equation. Show your work. B. Which coni

c section is this an equation of? How do you know?
Mathematics
1 answer:
eimsori [14]4 years ago
6 0
Part A:

x^{2} + y^{2} -10x+6y=15 \\  \\ 
 x^{2} -2(x)(5)+ y^{2}+2(y)(3)=15 \\  \\ 
 x^{2} -2(x)(5)+(5)^{2}+  y^{2}+2(y)(3)+(3)^{2}=15+ (5)^{2}+(3)^{2} \\  \\ 
(x-5)^{2}+(y+3)^{2}=49

Part B:
Since the signs and the coefficient of squared terms are the same in the given equation, the given equation represents a circle. The center of the circle is (5, -3) and the radius of the circle is 7. 
You might be interested in
Which situation represents a proportional relationship?
ss7ja [257]

Answer:

D

Step-by-step explanation:

A proportional relationship is defined by a linear equation whose y-intercept is zero.

Thus, we immediately reject answers A, B, and C because all involve a non-zero y-intercept.

D is the correct answer. We combine the unit cost $1.75/lb with the shipping fee $0.16/lb, obtaining a unit cost of $1.91/lb.  The desired linear equation with zero y-intercept is then

C(x) = ($1.91/lb)x, where x is the number of pounds of avocados sold.

8 0
3 years ago
Read 2 more answers
Doreen bought 2 liters of lemonade. How many millimeters of lemonade did Doreen buy? ​
MatroZZZ [7]

Answer:

Mr. Perkins changed the oil in his car. He bought. 6 liters of oil. He put 4,500 ml in his car.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help solving this 9+18s-7s help me solve it out please
melomori [17]

Answer:

9+11s

Step-by-step explanation:

9+18s-7s

=9+11s

You can't add 9 and 11s because they are different variables

4 0
3 years ago
Read 2 more answers
I'm more sophisticated than my little sister so I save my money in a bank account that pays me
ss7ja [257]

Answer:

F(m)=50*1.03^m

Step-by-step explanation:

5 0
3 years ago
Which of the point-slope equations below is correct for the line that passes through points (-4,-4) and (1,3)? Check all that ap
netineya [11]
Correct answer is E.

(-4,-4) \Rightarrow x_1=-4,y_1=-4
\\ (1,3) \Rightarrow x_2=1,y_2=3
\\
\\y-y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)
\\
\\ y-(-4)= \frac{3-(-4)}{1-(-4)} (x-(-4))
\\
\\ y+4= \frac{3+4}{1+4} (x+4)
\\
\\y+4= \frac{7}{5}(x+4)
8 0
3 years ago
Other questions:
  • Person BMI Total Cholesterol
    10·2 answers
  • How do you write 3.27 as a decimal number rounded to the nearest thousandth
    7·2 answers
  • Really need help finding the answer
    11·1 answer
  • Rewrite the rational exponent as a radical by extending the properties of integer exponents
    12·1 answer
  • Factor this polynomial. -3x^2-5x-2
    6·1 answer
  • PLEASE HELP MEEE!!!!!!!! I NEED IT!!!!!!!1
    14·1 answer
  • 3 less than the quotient of 18 and a number m
    14·1 answer
  • Jayden used a Groupon at the local pizza shop. Instead of paying $15, for the pizza, he paid $12.
    11·1 answer
  • Describe the error in this computation (doing math) AND tell me how to fix the error by giving me the correct steps and solution
    7·2 answers
  • 2 Increase $45 by 10% =
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!