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3 years ago

What value of p will make the expression below a perfect square? x^2 - x + P

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

Answer:

x^2 - x + 1/4

Step-by-step explanation:

To complete the square

x^2 - x + P

Take the coefficient of x

-1

Divide by 2

-1/2

Then square it

(-1/2)^2

1/4

Add this to complete the square

x^2 - x + 1/4

shutvik [7]3 years ago

6 0

Answer:

p = $\frac{1}{4}$

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² - x, that is

x² + 2(- $\frac{1}{2}$ )x + $\frac{1}{4}$ with p = $\frac{1}{4}$ , thus

x² - x = (x - $\frac{1}{2}$ )² + $\frac{1}4}$

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Which expression has the same value as the one below? <br> 29+(-37)

Dmitry [639]

Answer:

Step-by-step explanation:

29 + (-37) = 29 -37

Leave a like and mark brainliest if this helped

8 0

3 years ago

Read 2 more answers

Please please please help. thank you.

djverab [1.8K]

Lets get started :)

The First question:
Diameter = 20 ft
Radius = $\frac{1}{2}$ of 20 (diameter) = 20 ft

Area formula of a circle is
A = $\pi$ r²
= $\pi$ (10)²
=100 $\pi$ ft²
≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm divided into 20 sectors area

A = $\pi$ r²
= $\pi$ (12)²
= 144 $\pi$ ft²

Divide into 20 equal sector areas = $\frac{144 \pi }{20} = 7.2 \pi$

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36 $\pi$ , Radius = ?

$\frac{angle}{360} = \frac{sector}{ \pi (r)^2}$
$\frac{90}{360} = \frac{36 \pi }{ \pi r^2}$
$\pi$ and $\pi$ cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

$\frac{12960}{90} = \frac{90r^2}{90}$
144 = r²

Take squareroot
$\sqrt{144} = x$
x = 12 in

Your answer will be the third option

4 0

3 years ago

Which expression is equivalent to the expression shown?

mixas84 [53]

Answer:

7 to the 12th power. (The last one.)

Step-by-step explanation:

When dividing expressions with the same base you need to subtract the powers. In this case subtract 2 from 14 which makes 12. So your answer will be <u><em>7^12</em></u>.

5 0

3 years ago

Read 2 more answers

Helppp will give brainless 35points

Ugo [173]

Answer:

$\boxed{question \: number \: \to 6} \\ \boxed{ w = 72} \\ \boxed{ x =144 } \\ \boxed{ y = 108}$

Step-by-step explanation:

$y + w + y + w = 360 \to \sum \: of \: angles \\ y = \: \boxed{opp \: y} \to \: vertically \: opposite \: angles \: are \: equal \\ w = \: \boxed{opp \: w} \to \: the \: same \: reason \: as \: y\\ hence \to \\ 2(w+ y) = 360 \\ w + y = 180 \\ but \: 5w = 360 \to \: angles \: at \: a \: point \\ w = \frac{360}{5} \\ \boxed{w = 72} \\ therefore \to \\ w + y = 180 \\ 72 + y = 180 \\ y = 180 - 72 \\ \boxed{ y = 108} \\ hence \: \boxed{x} \: is \: given \: by \to \\y + x + y = 360 \to \: angles \: at \: a \: point \\108 + x + 108 = 360 \\ x = 360 - 216 \\ \boxed{ x = 144}$

♨Rage♨............You can also ask me the other questions separatly ........cos i cant cover all in this one.♨

6 0

3 years ago

Read 2 more answers

On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show

puteri [66]

The possible orders in which Elliott can do these tasks is 24

<h3>What is Permutation ?</h3>

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

P(n,r) = n! / (n-r)!

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

To know more about Permutation

brainly.com/question/1216161

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2 years ago