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3 years ago

P^2+2p-63=0 solve by completing the square

Mathematics

1 answer:

algol [13]3 years ago

7 0

Step-by-step explanation:

p^2+2p=63

p^2+2p+1^2=63+1^2

p^2+2p+1=64

(p+1)^2=64

p+1=8

p=8-1

p=7

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WHAT IS THE MEASURE OF ANGLE A

madreJ [45]

Answer:

∠A = 100

∠B = 50

∠C = 30

Step-by-step explanation:

Sum of all angles of triangle = 180

∠A + ∠B + ∠C = 180

2x +x + x - 20 = 180 {Combine like terms}

4x - 20 = 180

Add 20 to both sides

4x = 180 + 20

4x = 200

Divide both sides by 4

x = 200/4

x = 50

∠A = 2x = 2*50 = 100

∠B = x = 50

∠C = x - 20 = 50 - 20 = 30

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3 years ago

Help me asap..........:

Oduvanchick [21]

Answer:

J. P+7 less than or equal to 50

Step-by-step explanation:

You don't even need to look at the left side of the equation. There is a maximum of $50 you can spend so you can spend $50 or less than $50

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3 years ago

A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

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3 years ago

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What is the probability of spinning a yellow?

Scilla [17]

There are 8 triangles in this circle

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360/8=45

So I think the answer should be 45%

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3 years ago

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Tìm kiếm x y z x-1/y =1 y-1/z =1 z-1/x =1

const2013 [10]

y - 1/z = 1 ==> y = 1 + 1/z

z - 1/x = 1 ==> z = 1 + 1/x

==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)

x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1

==> 2x ² - 1 = 2x + 1

==> 2x ² - 2x - 2 = 0

==> x ² - x - 1 = 0

==> x = (1 ± √5)/2

If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.

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3 years ago