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2 years ago

X - 2y = - 7:(.3), (-9, )

Mathematics

1 answer:

omeli [17]2 years ago

8 0

Answer:

{x,y}={1,−3}

Step-by-step explanation:

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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .

Evgen [1.6K]

QUESTION 1

The point C(3.6, -0.4) divides AB in the ratio 3 : 2.

The coordinates of A are (-6, 5).

Let the coordinates of B be $(x_2,y_2)$

We use the formula:

$x=\frac{mx_2+nx_1}{m+n}$ to determine the x-coordinate of B.

We substitute the known values to obtain:

$3.6=\frac{3x_2+2(-6)}{3+2}$

$3.6=\frac{3x_2-12)}{5}$

$3.6\times 5=3x_2-12$

$18=3x_2-12$

$18+12=3x_2$

$30=3x_2$

This implies that:

$x_2=10$

We also use the formula:

$y=\frac{my_2+ny_1}{m+n}$ to find the y-coordinate.

$-0.4=\frac{3y_2+2(5)}{3+2}$

$-0.4=\frac{3y_2+10}{5}$

$-0.4\times 5=3y_2+10$

$-2-10=3y_2$

$-12=3y_2$

$-4=y_2$

The coordinates of B are (10,-4)

QUESTION 2.

If point D divides CD in the ratio 4 : 5.

Then the coordinates of D are:

$(\frac{4(10)+5(3.6)}{4+5}, \frac{4(-4)+5(-0.4)}{4+5})$

$(\frac{58}{9}, \frac{-18}{9})$

The coordinates of D are $(\frac{58}{9}, -2)$

8 0

3 years ago

Is the fraction 1/4 equal to 2.5

Rzqust [24]

Answer: No, 1/4 is equal to 0.25

Step-by-step explanation:

1/4

= 0.25

= 25%

* Hopefully this helps:) Mark me the brainliest:)

<em>∞ 234483279c20∞</em>

3 0

3 years ago

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What is the absolute value of -6 ?

storchak [24]

Answer:

the answer is just 6

Step-by-step explanation:

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2 years ago

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In 16 years, Ben will be 3 times as old as he is right now. How old is he right now

ollegr [7]

8 + 16 = 24
8 * 3 = 24
The answer is 8.

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3 years ago

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P L E A S E ~ H E L P ~ M E <br> Find the perimeter of the trapezoid shown.

Dahasolnce [82]

Answer:

the answer is B

Step-by-step explanation:

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3 years ago