2 years ago

A line passes through (−1, 5) and (1, 3). Which answer is the equation of the line?

Mathematics

1 answer:

UNO [17]2 years ago

4 0

Answer:

d) x+y = 4

Step-by-step explanation:

(−1, 5) and (1, 3)

y = mx + b

m = (3 - 5) / (1 - (-1)) = -2 / 2 = -1

b = y - mx = 3 - ((-1) x 1) = 4

equation: y = -x + 4

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Complete the square to form a perfect square trinomial x^2-14x+

fiasKO [112]

Answer: x^2 - 14x + 49

Explanation:

1) Divide the coefficient of x by 2:

14 / 2 = 7

2) so you have to add 7^2 = 49

x^2 - 14x + 49

3) that trinomial is equivalent to:

=> (x - 7)^2

4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2

(x - 7)^2 = x^2 - 14x + 49

Then you have to add 49 to complete the square. and form a perfect square trinomial.

7 0

2 years ago

This problem has to do with Fahrenheit and Celsius

Vinvika [58]

F = 1.8C + 32

С = -10 ⇒ F = 1.8·(-10) + 32 = 14 ⇒   (-10, 14)
С = 0 ⇒   F = 1.8·(0) + 32 = 32    ⇒ (0, 32)
С = 10 ⇒ F = 1.8·(10) + 32 = 50 ⇒ (10, 50)
С = 20   ⇒ F = 1.8·(20) + 32 = 68   ⇒ (20, 68)