Answer:
D. Y+5=-(1/2)*(x+3)
Step-by-step explanation:
Perpendicular Lines are those with the following condition:
y=a*x+b (1)
y=c*x+d (2)
Where 'a' and 'c' are the respective slope
If These two lines are perpendicular, then
a=- 1/c
Equation (1) for our case is written as y=2x-8, meaning that a=2 and b = -8
Using those principles we have that the slope for our needed line ('c') has to be -(1/2).
Now we most use the given point to find the remaining term of the equation (d) so, evaluate (-3,-5) in eq (2) to have this:
-5=(-1/2)*(-3)+d
resulting that d=-5-(3/2)
Eq (2) is written now as the following: y= (-1/2)*x - (5+3/2)
Rearranging terms, we have the following:
y+5=(-1/2)*x-(3/2)
where you can obtain a more pretty expression:
y+5=(-1/2)*(x+3)
The 4 consecutive integers are 95, 96, 97 and 98.
The fourth integer is 98.
<u>Step-by-step explanation:</u>
Let us consider the 4 consecutive integers to be 'x' , 'x+1' , 'x + 2' , 'x + 3'
The sum of the 4 consecutive integers= 386
x + (x+1) + (x+2) + (x+3) = 386
4x + 6 = 386
4x = 380
x = 380/4
x = 95
x+1 = 96
x+2 = 97
x+3= 98
The 4 consecutive integers are 95, 96, 97 and 98.
The fourth integer is 98.
They will get to 90 feet at <u>half a minute</u> or <u>30 seconds</u>.
Answer:
Step-by-step explanation:
Slope = (-1+11)/(-4-1) = 10/-5 = -2
Equation of a line is
y +11 = -2(x-1)
y = -2x +2 -11
y = -2x -9
