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Helga [31]
3 years ago
5

Point C is on the segment AB which has endpoints A(-1, 0) and B(3, 8). Point C is three times as far from point A as it is from

point B. What are the coordinates of point C?
Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

  C = (2, 6)

Step-by-step explanation:

The coordinates of point C can be found as the weighted average of the endpoint coordinates. The weights are the reverse of the relative segment lengths.

For AC : CB = 3 : 1, we have ...

  C = (A +3B)/(1+3) = ((-1, 0) +3(3, 8))/4 = (-1+9, 0+24)/4

  C = (2, 6)

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What is the equation of a line that passes through the points (3, 6) and (8, 4)
Ymorist [56]
First let us find the slope between the two points.

Slope = Change in y / Change in x.

(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁) =  (4 - 6) / (8 - 3) = -2/5 

Slope m = -2/5= -0.4

Using  y = mx + c,   using point (3, 6)

y = -0.4x  + c

6 = -0.4*3 + c

6 = -1.2 + c

6 + 1.2 = c

7.2 = c

c = 7.2

Equation = :       y = -0.4x +c

y = -0.4x + 7.2

y = -4/10  + 72/10

10y = -4x + 72

5y = -2x + 36

Equation =:      5y = -2x + 36

Hope this explains it.
4 0
3 years ago
We know 2 x 6 = 12.
Anon25 [30]

Answer:

A and C is true statements

7 0
3 years ago
Read 2 more answers
Plz help me thank ...
puteri [66]
Answer

396 miles and $28.71
8 0
3 years ago
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Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.
madreJ [45]

The cost per child per child is $10 more at Mr Bob's buffet than it is at Sally's pizza safari.

Answer: Option 3.

<u>Explanation:</u>

According to the data and the information that has been given in the question, the cost of four children for this birthday party at Mr Bob is $60. But the cost of hosting a birthday party at Mr Sally is $50 which is the cost of four children.

So this tells us that the cost of hosting a birthday party is expensive at Mr Bob when compared to the cost of hosting a party at Mr Sally. It is $10 more than Mr Sally.

5 0
3 years ago
Na atmosfera,a temperatura diminui cerca de1 grau a cada 200 m de afastamento da superficie terrestre.Se a temperatura na superf
Alenkinab [10]

Responder:

- 30 ° C

Explicação passo a passo:

Dado que :

A temperatura diminui 1 ° para cada 200 m afastados da superfície terrestre

Temperatura na superfície da terra = 20 ° C

Temperatura atmosférica a uma altura de 10 km de. Superfície Terrestre :

Queda de temperatura para uma altura de 10 km de distância;

10km = 10 * 1000 = 10.000 m

1 * (10000/200)

1 * 50

= 50 ° C

Portanto ;

Temperatura da superfície terrestre - 50 ° C

20 ° C - 50 ° C

= - 30 ° C

4 0
3 years ago
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