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3 years ago

Complete the square: x2+7x+?=(x+?)2

Mathematics

2 answers:

svet-max [94.6K]3 years ago

6 0

Answer:

x² + 7x + 49/4 = (x + 7/2)²

Step-by-step explanation:

x² + bx + c is a perfect square when c = (b/2)².

b = 7, c = (7/2)² = 49/4.

x² + 7x + 49/4 = (x + 7/2)²

charle [14.2K]3 years ago

3 0

Answer:

x² + 7x + 12.25 = (x+3.5)²

Step-by-step explanation:

(a+b)² = a²+ 2ab + b²

then:

7x = 2ab

7/2 = 3.5

then:

(x+3.5)² = x² + 2*3.5*a + 3.5²

x² + 7x + 12.25 = (x+3.5)²

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The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway

marysya [2.9K]

Answer:

The coordinate of the rest stop is: $(5,2.5)$

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

$(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)$

This gives:

$(x,y) = \frac{1}{2}(3+7,4+1)$

$(x,y) = \frac{1}{2}(10,5)$

Open bracket

$(x,y) = (5,2.5)$

Solving (b): Distance between the hotel and the stadium

We have:

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

The distance (d) is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$d = \sqrt{(3 - 7)^2 + (4 - 1)^2}$

$d = \sqrt{(-4)^2 + 3^2}$

$d = \sqrt{16 + 9}$

$d = \sqrt{25}$

$d =5$

From the question, we have:

$1\ unit = 6.4\ miles$

So:

$d =5 * 6.4\ miles$

$d =32\ miles$

3 0

3 years ago

A retailer spends $25 on a new video game. They have to pay 7.5% sales tax on

shepuryov [24]

Answer:

The tax is $1.88

Step-by-step explanation:

7.5% = 0.075 (divide by 100)

0.075 * $25 = 1.875 or $1.88

7 0

3 years ago

What is the percentage of those who try in one year to quit smoking cigarettes on their own actually succeed

Serjik [45]

The percent of people of smoke cigarettes is 20.9%..

4 0

3 years ago

Which term is a perfect square of the root 3x4?

Volgvan

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPPPPPPPPP

kenny6666 [7]

Answer:

$528

Step-by-step explanation:

A. Calculating The Markdown Price

X=Markdown price

Original price: $600

Markdown rate: 20%

100%-20%=80%

The TV's price is now 80% of what it originally was.

$\frac{x}{600} =\frac{80}{100\\}$

100x=48000

x=480

The price of the TV after being marked down is $480.

B. Calculating The Sales Tax

Y=Total sales tax

TV price: $480

Sales tax: 10% or 0.1

y=480*0.1

y=48

The total sales tax is $48

C. Calculating Your Total

x+y=total

480+48=total

total=528

You in total pay $528 for the TV.

4 0

3 years ago