Let's begin by listing out the information given to us:
We are to find the value of y
Answer:
m=0
Step-by-step explanation:
<em><u>mx²+2x-1=0</u></em>
if x=1/2 then
m(1/2)² +2(1/2)-1=0
m/4+1-1=0
m/4=0
m=0
The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
brainly.com/question/4074386
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Answer:
it'll take 251,991 tons of ore to obtain 126 tons of gold.. That's a lot
9514 1404 393
Answer:
77.6
Step-by-step explanation:
The ratio of light times will be the ratio of distances:
(light time to Neptune) / (light time to Mercury)
= (Neptune distance)/(Mercury distance)
= (27.93×10^8 mi)/(0.3598×10^8 mi) = 27.93/0.3598
≈ 77.6
It takes about 77.6 times as long for light to reach Neptune as it does to reach Mercury.
