<h2>
Answer:</h2>
<u>Distance = 360.55 m</u>
<u>Direction = North-East</u>
<h2>
Step-by-step explanation:</h2>
In the question,
The adventurous dog starts from O, say.
He moves 3 blocks East = 300 m
then,
2 blocks North = 200 m
1 block East = 100 m
1 block North = 100 m
2 blocks West = 200 m
So,
Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>
OE is given by,
In triangle OLE, using Pythagoras theorem,
<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>
Answer:
context?
Step-by-step explanation:
theres no graph to choose from
The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3
When you say initial value I'm assuming you mean the y-intercept
In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula
y - 8 = -3(x - 0)
y = -3x + 8
The y-intercept is when x = 0 so,
y = -3(0) + 8
Therefore y = 8
Use u subsitution the solve by grouping
u=x^2
u^3-16u=4u^2-64
u^3-4u^2-16u+64=0
(u^3-4u^2)+(-16u+64)=0
u^2(u-4)+(-16)(u-4)=0
(u^2-16)(u-4)=0
(u-4)(u+4)(u-4)=0
(u+4)(u-4)^2=0
u=x^2
(x^2+4)(x^2-4)^2=0
(x^2+4)((x-2)(x+2))^2=0
(x^2+4)(x-2)²(x+2)²=0
set to zero
x^2+4=0
x^2=-4
x=+/-2i
x-2=0
x=2
x+2=0
x=-2
the other roots are -2 and 2
for graphinc calculator, graph and find x intercepts
