All categories

2 years ago

Solve the equation by completing the square. 0 = 4x2 − 72x

Mathematics

1 answer:

Lyrx [107]2 years ago

6 0

Answer:

Step-by-step explanation:

Given

4x² - 72x = 0 ← factor out 4 from each term

4(x² - 18x) = 0

To complete the square

add/subtract (half the coefficient of the x- term)² to x² - 18x

4(x² + 2(- 9)x + 81 - 81) = 0

4(x - 9)² - 4(81) = 0

4(x - 9)² - 324 = 0 ( add 324 to both sides )

4(x - 9)² = 324 ( divide both sides by 4 )

(x - 9)² = 81 ( take the square root of both sides )

x - 9 = ± $\sqrt{81}$ = ± 9 ( add 9 to both sides )

x = 9 ± 9

Then

x = 9 - 9 = 0

x = 9 + 9 = 18

You might be interested in

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines.

Ulleksa [173]

Answer:

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines.

and the angle marked q° are ________angles.

The angles marked p° and q° are ________

The angle marked p° and are _______angles.

The angles marked q° and n° are _______angles.

The angles marked n° and m° are _______angles.

DONT ANSWER UNLESS YOU KNOW IT

6 0

2 years ago

NEED HELP!!!

ss7ja [257]

D. If you ask the amount of projects completed using the computer lab you are asking a statistical question. Hope this helps!

6 0

2 years ago

Read 2 more answers

A shipment of sugar fills 4

Strike441 [17]

Answer:

4 containers * 2 tons = 8 tons total

Step-by-step explanation:

7 0

2 years ago

Write an equation for the line perpendicular to the line y= -2/3+7 which passes through the point (-5,6)

zysi [14]

Y = -2/3x + 7.....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. All tht means is take the original slope, flip it, and change the sign. So we take -2/3....flip it making it -3/2.....change the sign making it 3/2. So ur perpendicular line will have a slope of 3/2.

y = mx + b
slope(m) = 3/2
(-5,6)....x = -5 and y = 6
now sub and find b, the y int
6 = 3/2(-5) + b
6 = -15/2 + b
6 + 15/2 = b
12/2 + 15/2 = b
27/2 = b
so ur perpendicular equation is : y = 3/2x + 27/2 <==

8 0

2 years ago

Which are true?

Tanzania [10]

Answers:

True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).
False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%
True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.
True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.

6 0

2 years ago