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3 years ago

How do you find the perimeter of a rectangle with diagonal

1 answer:

5 0

All the sides of a proper rectangle are 90 degrees.
So you use sine and cosine to figure out the two different lengths of sides ( because rectangle sides are parallel). To find area you times the two sides together. To find perimeter you times the two sides by two and add them together.

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. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

3 years ago

Read 2 more answers

Un viajero va a la ciudad cada 18 días y otro cada 24 días. Hoy han coincidido los dos ahi . ¿Dentro de cuántos días volverán a

spayn [35]

Si tengo la razon seria durante 84 dias.

8 0

3 years ago

Which equation models a line that passes through point (-2,2) And has a slope of -8

trasher [3.6K]

So we will be using $y=mx+b$ form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.

$2=-8(-2)+b$

Firstly, do the multiplication: $2=16+b$

Next, subtract 16 on both sides, and your answer will be -14 = b

Using the previous info we have, our equation is y = -8x - 14

8 0

3 years ago

Find the slope and the y-intercept of y=9x-2

Anna71 [15]

Answer:

The Slope is 9 and the y-intercept is -2

Step-by-step explanation:

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3 years ago

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Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equa

levacccp [35]

Answer:

D. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Step-by-step explanation:

3 0

3 years ago

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