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3 years ago

Find the point B on AC such that the ratio of AB to BC is 2:3

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

B(4, - 3 )

Step-by-step explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

$x_{B}$ = $\frac{3(2)+2(7)}{2+3}$ = $\frac{6+14}{5}$ = $\frac{20}{5}$ = 4

$y_{B}$ = $\frac{3(-7)+2(3)}{2+3}$ = $\frac{-21+6}{5}$ = $\frac{-15}{5}$ = - 3

Hence B(4, - 3 )

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3 years ago

– 36 – m = 8(4 + 2m)

valentina_108 [34]

Answer:

m = -4

Step-by-step explanation:

- 36 - m = 8(4+2m)

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3 years ago

Read 2 more answers

Select the polynomial that is a perfect square trinomial. 36x2 − 4x 16 16x2 − 8x 36 25x2 9x 4 4x2 20x 25.

Naya [18.7K]

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

The given polynomial is

$a) 36x^2-4x+16$

What is the form of perfect square polynomial?

$(ax+b)^2$

we solve this method by using perfect square method

add and subtract 1/9

$36x^2-4x+16+\frac{1}{9}-\frac{1}{9}$

factor 36

$\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )$

Now complete the square

$\frac{143}{9}+36(x^2-\frac{1}{18})^2$

Therefore this is not perfect square trinomial.

Similarly for

$b) 16x^2-8x+36$

Complete square is,

$16(x-\frac{1}{4})^2+35$

This polynomial is also not perfect square trinomial.

$c) 25x^2+9x+4\\$

complete square is,

$25(x+\frac{9}{50})^2+\frac{319}{100}$

This polynomial is not perfect square trinomial.

$d)4x^2+20x+25\\$

complete square is,

$(2x+5)^2$

This polynomial is perfect square trinomial.

Therefore,

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

To learn more about perfect square trinomial visit:

brainly.com/question/1538726

3 0

2 years ago