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3 years ago

In a parallelogram ABCD , the bisector of angle A bisects BC at X. Prove that AD=2 AB.

Mathematics

1 answer:

erica [24]3 years ago

7 0

There's no diagram, so I made my own.
But I can't prove AD = 2*AB

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Simplify the expression using the distributive property 2x (x- 9)

Scrat [10]

Answer:

2x^2-18x

Step-by-step explanation:

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3 years ago

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Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
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3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t

Mekhanik [1.2K]

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

15x+18y=561

-15x-10y=-435

–––––––––––

0+ 8y= 126

8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

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3 years ago

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you

Lena [83]

Answer:

10 hours

Step-by-step explanation:

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3 years ago

Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 r

Delvig [45]

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

In point-slope form, the equation is written ...

y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)

If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...

y -3 = 2(x -10)

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