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
igor_vitrenko [27]
3 years ago
11

Write y = 2x2-12x+25 in vertex form, plz show work.

Mathematics
1 answer:
Alex3 years ago
4 0

y = 2x² - 12x + 25 in the vertex form is y = 2(x - 3)² + 7

Step-by-step explanation:

The vertex form of a quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

  • (h , k) are the coordinate of the vertex point
  • a is the coefficient coefficient of x²
  • h=\frac{-b}{2a}
  • k = y when x = h

∵ y = ax² + bx + c

∵ y = 2x² - 12x + 25

∴ a = 2 , b = -12 , c = 25

∵ h=\frac{-b}{2a}

∴ h=\frac{-(-12)}{2(2)}

∴ h=\frac{12}{4}

∴ h = 3

∵ k = y at x = h

∵ h = 3

∴ k = y at x = 3

∵ y = 2x² - 12x + 25

- Substitute x by 3

∴ k = 2(3)² - 12(3) + 25

∴ k = 18 - 36 + 25

∴ k = 7

∵ The vertex form is y = a(x - h)² + k

∵ a = 2 , h = 3 , k = 7

∴ y = 2(x - 3)² + 7

y = 2x² - 12x + 25 in the vertex form is y = 2(x - 3)² + 7

Learn more:

You can learn more about the quadratic equation in brainly.com/question/1332667

#LearnwithBrainly

You might be interested in
What is the value of the expression (9 1/3)^3?
cestrela7 [59]

Answer:

rounded to the nearest hundredth the value is 813.04

Step-by-step explanation:

5 0
3 years ago
(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must
lions [1.4K]

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

7 0
3 years ago
Please help with this algebra!! I’m
stiks02 [169]

Answer:

(-4, -1)

Step-by-step explanation:

x = 4y

-4x - y = 17

Plug in 4y for x in the second equation:

-4(4y) - y = 17

Simplify. Remember to follow PEMDAS. Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

First, multiply 4y with -4:

-4(4y) = -16y

-16y - y = 17

Simplify. Combine like terms:

-16y - y = 17

-17y = 17

Isolate the variable, y. Divide -17 from both sides:

(-17y)/-17 = (17)/-17

y = 17/-17

y = -1

Plug in -1 for y in the first equation:

x = 4y

x = 4(-1)

x = -4

x = -4, y = -1

Answer: (-4, -1)

~

7 0
2 years ago
Ella has gold,silver,and copper wire for stringing beads.she has1 1\2ft.of gold wire,2 1\3ft.of silver wire,and3 3\4ft.of copper
Oksana_A [137]
Ella would have 65/8ft wire all together.
3 0
3 years ago
A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio
Lady bird [3.3K]

Answer:

70 white and 42 striped

Step-by-step explanation:

To find this make a tee chart and do the multiples of 10 and 6 into they add up to 112. Hopefully this is correct. Have a nice day.

6 0
3 years ago
Other questions:
  • Can u show 24 divided 4 with one rectangle
    9·1 answer
  • Renee uses 12 marshmallows and 8
    15·1 answer
  • 3 squared square root x minus 12 equals negative two
    6·1 answer
  • What is the area of a square with a side length of two
    14·1 answer
  • 2. Which of the following might cause pollution?
    9·2 answers
  • Pls help and show workings
    12·1 answer
  • Soda is often sold in 20 ounce bottles. A pack of sugar (the kind they have at restaurants for your coffee or tea) typically con
    14·1 answer
  • Please help asap....​
    6·1 answer
  • Distribute to write an equivalent expression. 2n * (n ^ 2 + 3n + 4)
    7·1 answer
  • Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radic
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!