Answer:
y = -1/4x+1
Step-by-step explanation:
First we need to find the slope of the line pictured
(1,4) and (0,0)
m = (y2-y1)/(x2-x1)
= (0-4)/(0-1)
= -4/-1
=4
The perpendicular line has a slope that is the negative reciprocal
-1 /(4)
-1/4
We have a point and a line
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +b
-1 = -1/4(8) +b
-1 = -2+b
Add 2 to each side
b = 1
y = -1/4x+1
Answer:
d^-1(t)=t/70
Step-by-step explanation:
Answer:
a diagonal one??? like its linear uhm okay here i have a picture one sec
Step-by-step explanation:
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
<em />
(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
<h2>a < -4</h2>
Step-by-step explanation:
