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
JulijaS [17]
2 years ago
6

The vertex form of the function y=x^2+8x+29

Mathematics
1 answer:
stira [4]2 years ago
5 0

Answer:

y = (x+4)^2 +13

Step-by-step explanation:

y=x^2+8x+29

To complete the square take  the coefficient of the x term

8

Divide by 2

8/2 =4

Then square it

4^2 =16

y=x^2+8x+16+13

 = (x^2+8x+16)  +13

 = (x+4)^2 +13

You might be interested in
What is the condition that causes an infinite geometric series to have no sum? Explain why
miv72 [106K]
This only happens when the ordinary ratio is greater than one, the terms of the sequence will get bigger and bigger, and if you add larger numbers you won't get a definitive answer.
4 0
2 years ago
2 7/9 times 2 1/5 in simplest form
hoa [83]

Answer: 3/4

Step-by-step explanation:

8 0
3 years ago
A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maxim
Maksim231197 [3]

Answer:

The answer is below

Step-by-step explanation:

A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Solution:

The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:

V'(x) = 0

V(x) = x(1500 - x) = length * breadth.

This means the enclosure has a length of x and a width of 1500 - x

Given that:

v(x)=1500x-x². Hence:

V'(x) = 1500 -2x

V'(x) = 0

1500 -2x = 0

2x = 1500

x = 1500 / 2

x = 750 feet

The maximum area = 1500(750) - 750² = 562500

The maximum area = 562500 feet²

3 0
3 years ago
If ax^3+9x^2+4x-10 when divided by x-3 leaves the reminder 5,then a=​
FinnZ [79.3K]

Let f(x) = ax³ + 9x² + 4x – 10

g(x) = 0⇒x - 3 = 0

⇒ x = 0 + 3

⇒ x = 3

On dividing f(x) by x - 3, it leaves a remainder 5.

Now keeping, f(3) = 5

⇒a(3)³ + 9(3)² + 4(3) - 10 = 5

⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5

⇒ 27a + 81 + 12 - 10 = 5

⇒ 81 + 12 - 10 - 5 = 27a

⇒ 81 + 12 - 15 = 27a

⇒ 93 - 15 = 27a

⇒ 78 = 27a

⇒ a = 27/78

⇒ a = 0.3461

7 0
3 years ago
What is the difference between the height and the slant height of a pyramid?
monitta
The height is always measured perpendicular to the horizontal surface on which the pyramid rests, whereas the slant height is measured perpendicular to one edge of the base to the vertex, and, as we would say, appears to be slanted.

8 0
3 years ago
Read 2 more answers
Other questions:
  • When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands
    12·1 answer
  • Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then, he notices that
    7·1 answer
  • What is the scale factor from figure a to figure b
    13·1 answer
  • Given f(x) = 1/2x - 5, find f^-1(x)
    8·1 answer
  • Is this correct?
    6·2 answers
  • Which statement about the figures shown below is true?
    10·1 answer
  • Candace asked 100 students which crisp flavour they liked best out of
    14·1 answer
  • Solve the equation: q –10 = -10
    10·2 answers
  • Find the area of a circle with radius, r = 60cm. Give your answer rounded to 3 SF.
    11·1 answer
  • Mr. Toney gets his car washed every 15 days. Mr. Brown gets his car washed every 20 days. Today, they are both getting their car
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!