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
Vinil7 [7]
3 years ago
15

Write the equation of a parabola with a vertex and (-5, 2) and a directrix y = -1

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer:

y=(x+5)²/6 + 1/3

Step-by-step explanation:

Use the distance formula to plug in the values you know:

√(y+1)² =√(x+5)² +( y-2)²

the square roots cancel out

(y+1) ²= (x+5)² +(y-2)²

(y+1) (y-1)= (x+5)² + (y-2) (y-2)

y²+2y+1= (x+5)² + y² -4y+4

the y² cancel out

2y+ 4y = (x+5)² + 4-1

6y= (x+5)² +3

y= (x+5)² /6+ 1/3

You might be interested in
Edwina made a circular hula hoop out of a piece of tubing 152 inches long by bending it into a circle and taping the ends togeth
juin [17]
This is equal tio the diameter of the circle formed:-

152 ins = circumference  and this = pi * diameter

so the Answer is 152 / pi  =  48.4 ins to nearest tenth

48 inches to nearest inch.
7 0
4 years ago
Can you help me please
notsponge [240]

9514 1404 393

Answer:

  1. reflection across the origin
  2. rotation 180° about the origin
  3. reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

__

The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

8 0
3 years ago
The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i
Verdich [7]
The complete question in the attached figure

Part a) 
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b) 
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is 
100 cm³

5 0
3 years ago
a straight line has a equation 4x + 3y = 12 . find the gradient of the line and the coordinates of the point where this line cro
Komok [63]
4x + 3y = 12
3y = -4x + 12
y = -4/3x + 4........so the slope (or gradient) is -4/3...because in y = mx + b form, the slope(gradient) is in the m position and the y int is in the b position....so if u wanted to know the y axis, it would be (0,4)

the x intercept (where the line crosses the x axis) can be found by subbing in 0 for y in the original equation or the slope intercept equation, and solving for x.
4x + 3(0) = 12
4x = 12
x = 12/4 = 3....so the x intercept is (3,0)
4 0
3 years ago
To find the Volume of a Cylinder, we use the formula:
kolezko [41]

Answer:

the correct anser is B

Step-by-step explanation:

Calculate the area of the shape on all the corners

6 0
3 years ago
Other questions:
  • Solve the problem <br> [(-9+6 ) + 15] /4 ?
    11·2 answers
  • Plz help!!! Don’t understand
    11·2 answers
  • If you move point B along BC how does M
    14·2 answers
  • The amount in kilograms, a, of a radioactive element that remains after t hours can be modeled by the equation a= 0.65(0.92)to t
    8·1 answer
  • How do I do this,I can't seem to get the answer
    11·1 answer
  • A box of candy bars costs $3.12. Each candy bar in the box costs $0.52. How many candy bars are in the box?
    8·1 answer
  • 6) Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, ... 1
    6·1 answer
  • write a solution in which positive and negative numbera are used to describe caues that have oppsite meaning. what dose 0 repres
    10·1 answer
  • Im not sure how to do this or what function to use SIN, COS, or TAN but if you could walk me through it that would be so so so a
    14·1 answer
  • Mrs. Thompson wants to buy centerpieces to use at a party. It will cost $49 to have the centerpieces delivered plus $0.89 per ce
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!