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
Fed [463]
3 years ago
14

What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

Using the COMPLETE THE SQUARE METHOD,

-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

ory = -5(x-3)^2 + 20

⇒The general formed equation of the given parabola is

y  = -5(x-3)^2 + 20

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

You might be interested in
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT.What is the solution to the inequality 3+5/7x>1+x?
harina [27]

Answer:

C: X <= 7

Step-by-step explanation:

Reimagine the inequality as

3 - 1 >= X - 5/7*X

2 >= 2/7*X

1 >= 1/7 * X

7 >= X

8 0
3 years ago
Which explains whether or not the values in the table represent a direct variation?
Assoli18 [71]

Answer:

This function represents a direct variation because it passes through the origin and has a constant rate

4 0
3 years ago
Find the value of x.
Svetach [21]

Answer:

35

Step-by-step explanation:

x + 55 = 90

x = 90 - 55

x = 35

4 0
3 years ago
Read 2 more answers
May you please help me figure out every angle?​
djyliett [7]

Answer:

<D = 82°

<E = 49°

<F = 49°

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.

8 0
3 years ago
What is the End Behavior of the following Graph?
natima [27]

Answer:

b hopefully this helps you with work

5 0
3 years ago
Other questions:
  • Please help and thank you
    15·1 answer
  • Smallest to largest 0.8 30% 3/5
    8·1 answer
  • I need help with iv. v. vi. And vii.
    10·1 answer
  • Ed is using the recipe shown to make fruit salad 4 bananas diced 3 apples diced 6 pears diced 10 strawberries diced he wants to
    10·2 answers
  • Day 1 Michael ran 5 miles day 2 Michael ran 2 miles day 3 Michael ran 7 miles day 4 Michael ran 3 miles how many more miles did
    11·1 answer
  • A skateboarding ramp is 12 in. high and rises at an angle of 21​°. How long is the base of the​ ramp? Round to the nearest inch.
    12·1 answer
  • A bell tower casts a 60 cm shadow. At the same time a sculpture that is 4.5 meters tall casts a
    9·1 answer
  • I need help with this plssssss
    9·2 answers
  • Please urgent help me out
    13·1 answer
  • If a jeep averages 30.5 miles per gallon, how many miles will it travel on 14 gallons of gas?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!