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sergij07 [2.7K]
3 years ago
6

A B and C are collinear, and B is between A and C. The ratio of AB to AC is 2:7. If A is at (0,-8) and B is (2,-4), what are the

coordinates of point C?
Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answer:

  C = (7, 6)

Step-by-step explanation:

The problem statement tells us the relation between the points is ...

  (B-A)/(C-A) = 2/7

  7(B -A) = 2(C -A) . . . . . . multiply by 7(C-A)

  7B -7A +2A = 2C . . . . . add 2A

  C = (7B -5A)/2 . . . . . . . divide by 2

  C = (7(2, -4) -5(0, -8))/2 = (14, 12)/2 . . . . . fill in the values of A and B

  C = (7, 6)

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Can someone help me plz
Karo-lina-s [1.5K]

Answer:

y = 2x - 10

Step-by-step explanation:

The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2

y = 2x + b

-4 = 6 + b

b = -10

Thank, 5 star, braniliest if helpful

3 0
3 years ago
What is 2x+8y=12 in slope intercept form <br>as well as x-2y=0 in slope intercept form 
earnstyle [38]
the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ 2x+8y=12 \ \ |-2x \\ \\8y=-2x+12\ \ /:8\\ \\y=-\frac{2}{8}x+\frac{12}{8}

y=-\frac{1}{4}x+\frac{3}{4}\\ \\ m=-\frac{1}{4}



x-2y=0 \ \ | -x \\ \\-2y=-x \ \ /:(-2)\\ \\y=\frac{1}{2}x \\ \\ m= \frac{1}{2}






8 0
3 years ago
Read 2 more answers
In the equation 5x-2=-x-20, What is the value of x?<br> a. 2<br> b. -1<br> c. -3<br> d. -2
mestny [16]

Answer:

C choice.

Step-by-step explanation:

5x - 2 =  - x - 20 \\

First, we move the same terms to the same side.

5x + x =  - 20 + 2 \\ 6x =  - 18

Then we move 6 to divide - 18.

x =  \frac{ - 18}{6}  \\ x =  - 3

7 0
3 years ago
When a jug is half- filled with marbles, it weighs 2.6 kg. The jug weighs 4 kg when it is full. Find the weight of the empty jug
baherus [9]

the difference between a full jug and a jug that is half full will give us the weight of the marbles only in a half full jug:
4 - 2.6 = 1.4 kg

In a half full jug that weighs 2.6 kg, the weight of the marbles is 1.4 kg 
the weight of the jug = 2.6 - 1.4 = 1.2 kg

5 0
3 years ago
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Write the decimal equivalent for this fraction 70/100
d1i1m1o1n [39]

Answer:

0.7 is the decimal equivalent to 70/100.

Step-by-step explanation:

You can just do the numerator (70) divided by the denominator (100): 70÷100 = 0.7

8 0
2 years ago
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