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4 years ago

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics

1 answer:

AnnyKZ [126]4 years ago

3 0

Answer:

(-2, 3)

Step-by-step explanation:

The point B is:

B(x,y)

AB(A to B) is twice BC(B to C)

AB is 2 - x. BC is x - (-4) = x + 4.

2 - x = 2(x + 4)

2 - x = 2x + 8

3x = -6

x = -2

Same logic as above.

AB is -5 - y. BC is y - 7.

-5 - y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y = 3

The point is (-2, 3).

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Any help appreciated

sergij07 [2.7K]

Answer:

2677

Step-by-step explanation:

Let's make this easier first of all:

a^2-y^3(a-y^2)y^2

a^2-y^5(a-y^2)

a^2-ay^5+y^7

(-2)^2-(-2)(3)^5+3^7

4-(-2*243)+2187

4-(-486)+2187

4+486+2187

490+2187

2677

6 0

3 years ago

Read 2 more answers

If the difference of two numbers is 43 in the sum of the numbers is 13 what are the numbers

bulgar [2K]

A-b = 43----(1)
a+b = 13----(2)

(1)+(2) 2a=56
then a=56/2= 28
so b=13-28= -15

so that the numbers are -15 and 28

4 0

3 years ago

WILL MARK BRAINLIEST

777dan777 [17]

Answer:

Step-by-step explanation:

xy = k

where k is the constant of variation.

We can also express the relationship between x and y as:

y =

where k is the constant of variation.

Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .

Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.

k = (6) = 8

xy = 8 or y =

Example 2: If y varies inversely as x, and the constant of variation is k = , what is y when x = 10?

xy =

10y =

y = × = × =

k is constant. Thus, given any two points (x1, y1) and (x2, y2) which satisfy the inverse variation, x1y1 = k and x2y2 = k. Consequently, x1y1 = x2y2 for any two points that satisfy the inverse variation.

Example 3: If y varies inversely as x, and y = 10 when x = 6, then what is y when x = 15?

x1y1 = x2y2

6(10) = 15y

60 = 15y

y = 4

Thus, when x = 6, y = 4.

2nd answer choice

constant of variation is xy. XY=23. If X=7 then Y=23/7.

3 0

3 years ago

Find the points of intersection of the lines 10x−4y=2 and 2x+8y=7 without graphing.

Jet001 [13]

Answer:

$x=\frac{1}{2},y=\frac{3}{4}$

Step-by-step explanation:

Given:

$10x-4y=2 ,2x+8y=7$

To find: points of intersection of the given lines

Solution:

In substitution method, the system of equations is solved by expressing one variable in terms of another, as a result, removing one variable from an equation.

$10x-4y=2 \\2(5x-2y)=2\\5x-2y=1\\5x=1+2y\\x=\frac{1+2y}{5}$

Put $x=\frac{1+2y}{5}$ in the equation $2x+8y=7$

$2x+8y=7\\2[\frac{1+2y}{5}]+8y=7\\ 2+4y+40y=35\\44y=35-2\\44y=33\\y=\frac{33}{44}\\ =\frac{3}{4}$

Put $y=\frac{3}{4}$ in the equation $x=\frac{1+2y}{5}$

$x=\frac{1+2y}{5}\\=\frac{1}{5}[1+2(\frac{3}{4})]\\=\frac{1}{5}[1+(\frac{3}{2})]\\\\=\frac{1}{5}(\frac{2+3}{2}) \\\\=\frac{1}{5}(\frac{5}{2})\\\\=\frac{1}{2}$

Therefore,

$x=\frac{1}{2},y=\frac{3}{4}$

5 0

3 years ago

Nethan made eight rose bouquets and six daffodil bouquets. Nethan only has enough flowers to make at most 20 rose or daffodil bo

Igoryamba

I<span> found the graph choices: </span>

<span>Given:</span>
8 rose bouquets
6 daffodil bouquets
total of 14 bouquets

enough flowers left to make maximum of 20 bouquets.

x = additional rose bouquets
y = additional daffodil bouquets

20 maximum bouquets - 14 made bouquets = 6 additional bouquets

x + y = 6

y = 6 - x
x = 6 - y

If x = 0 then y = 6
If x = 6 then y = 0
If x = 4 then y = 2
If x = 2 then y = 4

Pls. see attachment for the correct graph.

4 0

3 years ago

Read 2 more answers