ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
So in 30 min will hike 2 1/4 miles =9 of those 1/4 miles therefore in 10 min will hike 9/3 =3 of those 1/4 miles = 3/4 of a mile
3/4 mile in 10 min;
(3/4)• 4 = 3 miles in 40 min;
6 miles in 80 min;
9 miles in 120 min;
12 miles in 160 min;
15 miles in 200 min;
18 miles in 240 min or 4 hours
Answer:
a:x=-3
c:x=1
Step-by-step explanation:
The zeros of a function are the values of x for which the value of the function f(x) becomes zero.
In this problem, we have the following function:
Here we want to find the zeros of the function, i.e. the values of x for which
In order to make f(x) equal to zero, either one of the factors 
or 
must be equal to zero.
Therefore, the two zeros can be found by requiring that:
1)
2)
So the correct options are
a:x=-3
c:x=1
Answer: y= 3x-1
Step-by-step explanation:
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m =
y2-y1
x2-x1
m =
2--1
1-0
m =
3
1
m = 3
Now putting value of m in equation (i)
y = 3x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (0,-1) for calculating y-intercept:
y = mx + b
-1 = 3(0) + b
-1 = 0 + b
-1 = b
b = -1
Answer:
Value of the answer (3¹²)
Step-by-step explanation:
Given:
(3⁵)² / 3⁻²
Find:
Value of the question.
Computation:
⇒ (3⁵)² / 3⁻²
⇒ (3¹⁰) / 3⁻²
⇒ (3¹⁰) (3)²
⇒ (3¹⁰⁺²)
⇒ (3¹²)
⇒ 531,441
Value of the answer = (3¹²)
