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3 years ago

Complete the square on the following quadratic

1 answer:

8 0

X² + 10x +2 = 0 .Complete the square of (x² + 10x + ??)
We know that (10x) is equal to twice the square root of the 1st (x) by ??
10x = 2.x.(??) and ?? = 5 and its square is 25. Then I have to add 25 and subtract 25 so that not to change the equation:
(x² + 10x + 25) -25 +2 =0
(x+5)² -23

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Number 25 please help

8_murik_8 [283]

I believe this is how you solve it

7 0

2 years ago

NO LINKS!!!!

mixer [17]

Hope this help!!!

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7 0

2 years ago

A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

$\Delta f = f(n+1)-f(n)$

$\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)$

$\Delta f = 3$

Both sequences are arithmetic.

8 0

2 years ago

A concession stand at a baseball game sells hot dogs and boxes of popcorn. Justin buys a total of 9 snacks. The number of popcor

Jet001 [13]

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

<h3>Equation</h3>

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let x represent the number of hot dogs and y represent the boxes of popcorn.

Justin buys a total of 9 snacks. Hence:

x + y = 9 (1)

He buys popcorn 3 less than twice as many hot dogs. Hence:

y = 2x - 3
2x - y = 3 (2)

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 5

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

Find out more on equation at: brainly.com/question/13763238

8 0

2 years ago

Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when

solong [7]

Answer:

A) Area as function of H ,

F'(a) = 2 +H

B) Area of triangle with height 6ft = 30 ft²

Step-by-step explanation:

Given as for a triangle ,

Let the height of triangle = H ft

And base = 4 ft + H ft

Now area of triangle = $\frac{1}{2}$ × height × base

F (a) = $\frac{1}{2}$ × H × ( 4ft + H ft)

Or, F (a) = $\frac{1}{2}$ × ( 4H + H² )

Now, here Area is function of height ,

So , F'(a) = $\frac{1}{2}$ (4 + 2H)

Hence Area as function of H ,

F'(a) = 2 +H

Now For height = 6 ft

Area of triangle = $\frac{1}{2}$ × height × base

= $\frac{1}{2}$ × H × ( 4ft + H ft)

= $\frac{1}{2}$ × ( 4H + H² )

= $\frac{1}{2}$ × ( 24 + 36 )

= $\frac{1}{2}$ × ( 60 )

= 30 ft²

Hence Area of triangle with height 6ft = 30 ft² Answer

6 0

3 years ago