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3 years ago

Help with question 2

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

7 0

It's a parallelogram, so the area is just:
$A_p = bh$

We are given both quantities, so just plug and chug:
$A_p = 12*11 = 132in^2$

The area of this parallelogram is 132in².

ANTONII [103]3 years ago

5 0

The area can be found by multiplying the two together. 11x12=132.

The area is 132.

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Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$

$\frac{0 + 0}{2} = 0$

So our vertex is (0,0).

So our equation become

${y}^{2} = 4px$

The distance from the focus and directrix is 6.

So p=6.

${y}^{2} = 24x$

So p is 6.

Since p is 6,

$\frac{ {y}^{2} }{24} = x$

3 0

1 year ago

Pls help with 29..tank you

trapecia [35]

Answer:

See below

Step-by-step explanation:

Let the 2 roots be A and A^2.

Then A^3 = c/a and A + A^2 = -b/a.

Using the identity a^3 b^3 = (a + b)^3 - 3ab^2 - 3a^2b:-

A^3 + (A^2)^3 = ( A + A^2)^3 - 3 A.A^4 - 3 A^2. A^2

= (A + A^2)^3 - 3A*3( A + A^2)

Substituting:-

c/a + c^2/a^2 = (-b/a)^3 - 3 (c/a)(-b/a)

Multiply through by a^3:-

a^2c + ac^2 = -b^3 + 3abc

Factoring:-

ac(a + c) = 3abc - b^3

This is not the formula required in the question but let's see if the formula in the question reduces to this. If it does we have completed the proof.

a(c - b)^3 = a(c^3 - 3c^2b + 3cb^2 - b^3) = ac^3 - 3ac^2b + 3acb^2 - ab^3

c(a - b)^3 = c(a^3 - 3a^2b + 3ab^2 - b^3) = ca^3 - 3a^2bc + 3acb^2 - cb^3.

These are equal so we have

ca^3 - 3a^2bc + 3acb^2 - cb^3 = ac^3 - 3abc^2 + 3acb^2 - ab^3

The 3acb^2 cancel out so we have:-

a^3c - ac^3 = 3a^2bc - 3abc^2 + b^3c - ab^3

ac(a^2 - c^2) = 3abc( a - c) + b^3(c - a)

ac(a + c)(a -c) = 3abc(a - c) - b^3 (a - c)

Divide through by (a - c):-

ac(a + c) = 3abc - b^3 , which is the result we got earlier.

This completes the proof.

3 0

3 years ago

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11111nata11111 [884]

Answer:

the slope is 485

Step-by-step explanation:

The slope form of a line is y=mx+b, or in this case, p(n)=mn+b. The coefficient of n is 485, giving you the slope.

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3 years ago

I need help finding the perimeter and area of the triangle using Pythagorean Theorem. please explain how you did it and what you

kakasveta [241]

Good evening ,

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Answer:

*Perimeter = 9+9+12,7=30,7

*Area=40,5

___________________

Step-by-step explanation:

Look at the photo below for the answer.

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2 years ago

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The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and quotient 2.35 and dividend 18.

natka813 [3]

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

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2 years ago