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
PilotLPTM [1.2K]
2 years ago
13

12. Write the equation of a parabola with vertex at (2, -3) and focus at (2,5),

Mathematics
1 answer:
Tatiana [17]2 years ago
7 0

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

You might be interested in
9 pencils cost $7.74<br> Which equation would help determine the cost of 6 pencils?
Stells [14]

Answer $5.16

Step-by-step explanation:

$7.74 divided by 9 is 0.86 so 0.86 per pencil mutiply that by 6 because you have six pencils and you get 5.16 for six pencils

5 0
3 years ago
Read 2 more answers
What is the answer to a0/12 = -6
emmainna [20.7K]
The answer I think it would be -6 right?
5 0
3 years ago
A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought
lesya [120]
A+c=100

3a+2c=275, from the first c=100-a making the 2nd equation become:

3a+2(100-a)=275 perform indicated multiplication on left side

3a+200-2a=275  combine like terms on left side

a+200=275, subtract 200 from both sides

a=75, and since c=100-a

c=100=75=25

So the answer is D.  25 children and 75 adults
                                 Equation 1: a+c=100
                                 Equation 2: 3a+2c=275
8 0
2 years ago
Please help me I don't get this and answer correctly :)
aksik [14]
How ever many numbers are being multiplied by itself it goes with the to the power of ... if it is being added to itself it is ... times...
5 0
3 years ago
Read 2 more answers
ANSWER AND SHOW WORK FOR 40 POINTS
Elanso [62]

Answer:

Q1) (x+7)² = 9

x = -10, -4

Q2) (x-8)² = 144

x = -4, 20

Q3) (x-1)² = 81

x = -8, 10

Step-by-step explanation:

Q1) x² + 14x + 49 = 9

x² + 2(x)(7) + 7² = 9

(x + 7)² = 9

x + 7 = +/- sqrt(9)

x + 7 = 3

x = -4

x + 7 = -3

x = -10

Q2) x² - 16x + 64 = 144

x² - 2(x)(8) + 8² = 144

(x - 8)² = 144

x - 8 = +/- sqrt(144)

x - 8 = 12

x = 20

x - 8 = -12

x = -4

Q3) x² - 2x + 1 = 81

x² - 2(x)(1) + 1² = 81

(x - 1)² = 81

x - 1 =+/- sqrt(81)

x - 1 = 9

x = 10

x - 1 = -9

x = -8

5 0
3 years ago
Read 2 more answers
Other questions:
  • Help plz plz I only have 30 minutes
    13·2 answers
  • Which is a possible expression for the series
    15·1 answer
  • The quote for GBP/USD is listed as 1.5869/76 as shown. How many U.S. dollars does it cost to buy 1 British pound?
    8·2 answers
  • A figure that has been turned has been
    12·1 answer
  • Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher.how old is christopher?
    12·2 answers
  • (3,7)(2,6) Find the equation for the line that falls through the two ordered pairs
    15·1 answer
  • Ingrid mixes 3.6 pounds of almonds with some raisins to make a trail mix. She divides the trail mix into 12 equal portions. Each
    5·2 answers
  • Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which ex
    7·2 answers
  • Henrik makes 5 L of juice from his blueberries. He fills the juice in bottles like
    13·1 answer
  • A. 125+25+5+1<br> B. 25+5+1+1/5<br> C.1+1/5+1/25+1/125<br> D.1/125+1/5+5+125
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!