Answer:
Step-by-step explanation:
Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as 
b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)
note that i.i = j.j = k.k =1
b.a = 5(4)+11(0)-2(7)
b.a = 20-14
b.a = 6
||a|| = √5²+11²+(-2)²
||a|| = √25+121+4
||a|| = √130
square both sides
||a||² = (√130)
||a||² = 130
<em>Hence the projection of b unto a is expressed as </em><em></em>
Answer:
A] The slope of f(x) is greater than the slope of g(x).
Step-by-step explanation:
First, you need to calculate the slope of f(x) and g(x) using the slope formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are points of the functions.
To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.
m = 1 - (-1) / 3 - 0
m = 1 + 1 / 3
m = 2 / 3
m = 0.66...
To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).
m = 4 - 2 / 5 - 0
m = 2 / 5
m = 0.4
So the slope of f(x) is greater than the slope of g(x).
Answer:
The circumference of circle is: 31.714 cm
Step-by-step explanation:
Let C be the circumference of the circle
And A be the area of circle
It is given that:
We have to find the radius first so that it can be used to find the circumference
The area of circle is given by the formula:
Putting the value of area
Taking square root on both sides
Now
Putting the value of radius
Hence,
The circumference of circle is: 31.714 cm
Answer:
(0,5)
Step-by-step explanation:
Answer:
The football field is 360 feet long.
Step-by-step explanation:
Remember, there are 3 feet in 1 yard.
1 yard = 3 feet
To find out how long the football field in feet, we must convert 120 yards into feet.
To convert yards to feed, multiply the number of yards by 3 (3 feet per yard).
120 × 3 = 360
The football field is 360 feet long.
I hope this helps. :)
