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IgorC [24]
3 years ago
7

Add _____ to each side x2 – 8x = 9 to complete the square.

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

16

Step-by-step explanation:

We use the completing square method to find make the expression a perfect square.

(b/2)²=ac where a and b are coefficients of x² and x respectively while c is a constant.

= (-8/2)²=16

We add 16 to both sides and the expression becomes a perfect square.

zhuklara [117]3 years ago
3 0

Answer:

The correct answer is 25

Step-by-step explanation:

It is given a quadratic equation,

x² – 8x = 9

<u>To find the number to be added</u>

The given equation be  x² – 8x = 9

here we have to add (b/2)² -  the square of half the coefficient of x,

Here b = -8

(b/2)² = (-8/2)² = -4² = 16

Add both side with 16

x² – 8x + 16  = 9 + 16

(x - 4)² = 25

(x - 4)² = 5²

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The cone volume of 180 1/4 and a radius of square of 9. What is the height?
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2 years ago
Bill has 4 times as much money as Ted. If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted. How mu
Dima020 [189]
<h3><u>Question:</u></h3>

Bill has four times as much money as Ted. If Ted spends $100 and Bill spends $75, Bill will have five times as much money as Ted. How much money do Bill and Ted have before and after spending money?

<h3><u>Answer:</u></h3>

Before spending money, Bill has $1700 and Ted has $425

After spending money, Bill has $ 1625 and Ted has $ 325

<h3><u>Solution:</u></h3>

Let the amount of money Bill has be "b"

Let the amount of money Ted has be "t"

Bill has 4 times as much money as Ted, we can say the following:

b = 4t  ---------- eqn 1

If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted.

b - 75 = 5 ( t - 100 )  ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

4t - 75 = 5( t - 100 )

4t - 75 = 5t - 500

5t - 4t = 500 - 75

<h3>t = 425</h3>

From eqn 1,

b = 4(425) = 1700

<h3>b = 1700</h3>

So, before spending money, Bill has $1700 and Ted has $425.

<u><em>After spending money:</em></u>

Bill = b - 75 = 1700 - 75 = $ 1625

Ted = t - 100 = 425 - 100 = $ 325

8 0
2 years ago
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