Question 4
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
Answer:
CP = 8 cm
Step-by-step explanation:
Given two chords that intersect inside a circle, then then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
DP × CP = AP × PB ← substitute values
6 × CP = 12 × 4
6CP = 48 ( divide both sides by 6 )
CP = 8
Answer:
2
Step-by-step explanation:
f(x) = x^2 + 1
f(-1) = (-1)^2 + 1
f(-1) = 2
these two bars | | mean <u>absolute value</u>
here's how to find x
| x - 7| = 2
first apply the absolute rule
x - 7 = 2 x - 7 = -2
in both equations add 7 on both sides
x - 7 + 7 = 2 + 7 x - 7 + 7 = -2 + 7
then simplify the expressions
x = 9 x = 5
now combine these two solutions to get your answer
x = 9 or x = 5
hopefully my explanation helps
9514 1404 393
Answer:
-4.5
Step-by-step explanation:
The y-intercept can be found by setting x=0 and solving for y.
-2y = 9
y = -9/2 = -4.5 . . . the y-intercept
__
As an ordered pair, this is (0, -4.5).
