To make a cake, you need 2 parts flour, 2 parts sugar and 1 part eggs.

A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.

S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

$x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)$

where:

$(x_A,y_A)=(-7,3)$ are the coordinates of point A

$(x_B,y_B)=(-1,0)$ are the coordinates of point B

$(x_C,y_C)$ are the coordinates of point C

Solving the equation for $x_C$ ,

$x_C = x_B + \frac{x_B-x_A}{3}=-1+\frac{-1-(-7)}{3}=1$

Solving the equation for $y_C$ ,

$y_C=y_B + \frac{y_B-y_A}{3}=0+\frac{0-3}{3}=-1$

So, the coordinates of point C are

$C(-1,1)$

Learn more about how to divide segments:

brainly.com/question/3269852

brainly.com/question/11280112

#LearnwithBrainly

4 0

2 years ago

What is the constant variation in the equation 3y=6x? Explain. PLEASE HELP IM DESPERATE

lbvjy [14]

Hi Desperate!

anyways the equation for constant variation is y=kx
3y=6x is it, but we don't want the 3.
so we divide on both sides to cancel out the 3.
y=2x

4 0

3 years ago

100 POINTS!! Express in radical form.

Vilka [71]

Answer:

27 4th root (x^3)

Step-by-step explanation:

(81x) ^ 3/4

We know (ab) ^c = a^c b^c

81 ^ (3/4) * x^3/4

We can rewrite 81 as 3^4

(3^4)^(3/4) * x^3/4

We know that a^b^c = a^ (b*c)

3^(4*3/4) * x^3/4

3^(3) * x^3/4

27 * x^3/4

27 4th root (x^3)

3 0

3 years ago

Read 2 more answers

Marjorie is playing a new board game the rule state that when a player's piece lands on a red square the player must pay a penal

alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

---------------------

When the piece lands on the red square, the penalty is equal to 30 times the sum they roll on two numbers.
Marjorie rolls 4 and 2, thus, the sum is 6.
The penalty is of $6 \times 30 = 180$
She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.

A similar problem is given at brainly.com/question/12166019

6 0

2 years ago

The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.

Minchanka [31]

The small number is 2.

The large number is 3.

Step-by-step explanation:

Let the two consecutive numbers be x and x+1.

x be the small integer.
x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

The sum of two consecutive integers is one less than three times the smaller integer.
This means that, (2x+1) is one less than three times the smaller integer.
Here, the small integer is represented as x.

Therefore, it can determined that :

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

3 0

3 years ago