slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)

Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5

therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58

answer: y=5x-58

Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3

Therefore:
y-0=1/3(x-0)
y=x/3

answer: y=x/3

4 0

3 years ago

a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is t

frez [133]

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0 (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0 (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

$x = -\frac{7}{4} = -1.75$ or $x =\frac{3}{2} = 1.5$

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

Hope this helps!

3 0

2 years ago

Are 6:8 and 9/12 proportional?

swat32

No !!!!!!!!! it’s not

8 0

2 years ago