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
Brilliant_brown [7]
3 years ago
9

The vertex form of the equation of a parabola is y=3(x-40)^2-22. What is the standard form of the equation?

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0
<span>y=3(x-40)^2-22
y = 3(x^2 - 80x + 1600) - 22
y = 3x^2 - 240x + 4800 - 22
y = 3x^2 - 240x + 4778

answer
</span><span> standard form of the equation
</span>y = 3x^2 - 240x + 4778
You might be interested in
If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

5 0
2 years ago
Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?
Colt1911 [192]
Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)

3 0
3 years ago
Question<br> Use the distributive property to multiply the polynomials.<br> -5x2(6x - 1)
nignag [31]

Answer:

-60x + 10

Step-by-step explanation:

-5 x 2(6x - 1)

-10 (6x - 1)

-60x + 10

7 0
3 years ago
Read 2 more answers
Problem 1
Salsk061 [2.6K]

Answer:

a- 3 batches

b-

1 \frac{1}{2}  = 1.5

c- 0.5 batches

3 0
3 years ago
4. Divide z(5z2 - 80) by 5z (z+4)​
insens350 [35]

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

5 0
3 years ago
Other questions:
  • On Friday Tammy’s Bakery had 70 blueberry muffins for sale. 25 blueberry muffins were sold in the morning and 36 in the afternoo
    6·2 answers
  • 10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE. DO BOTH PARTS OF 1 AND ALL OF 2.
    14·1 answer
  • What is 1.65 divided by 100?
    8·1 answer
  • If wxz = (5x+3), zxy =(8x-4) and wxy is a right angle, find each measure
    5·2 answers
  • I need help on this questionnn
    9·2 answers
  • Multiply &amp; simplify: (3x + 4)(x + 1)
    13·2 answers
  • What is 18-2x(4 3) i need the answer?
    11·1 answer
  • Luke was packing up his old toys. He managed to squeeze eight toys into a box. If Luke filled up seven boxes, how many toys did
    10·1 answer
  • PLEASE help me i really apreacatie if you show your work both in numbers and a sentence since i dont know how to explaning tysm
    6·2 answers
  • 7. a) If (4ax + 6ay) sq. unit is the area of a rectangle, find the length and breadth of the rectangle.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!