Hi there!
Your question:
8.5 + 49(1-2.5k)=24.5
My answer:
8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute
8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.
12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides
-10k = 12 >>>>>>>>> finally, divide -10 on both sides
k = -1.2
Hope this helps you!
Hey there! I'm happy to help!
28(5280)=147840 feet per hour.
There are 60 minutes in an hour. To find out how many feet Bolt runs in a second we divide by 60.
147840/60=2464
And we divide by sixty again to get to seconds.
2464/60=41 1/15 feet per second.
Have a wonderful day! :D
Answer:
.................
Step-by-step explanation:
Given:
The equation of given line is

A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,

On comparing this equation with slope intercept form
, we get

It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.



Point slope form of a line is

Where, m is the slope.
The slope of perpendicular line is
and it passes through the point (9,5). So the equation of the line is



Adding 5 on both sides, we get


Therefore, the equation of required line is
.
Answer:
3rd option
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁ ) a point on the line
Here m = - 2 and (x₁, y₁ ) = 4. - 6 ) , then
y - (- 6) = - 2(x - 4) , that is
y + 6 = - 2(x - 4)