Answer:
Step-by-step explanation:
The functions are;
and
We want to find
First we find g(-4) to get:
Now
This implies that,
Answer:
First we must learn to dissect a question.
<h3>Explanation:</h3>
Part 1
We can list our facts first:
- Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
- She needs 13 dozen cookies
She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons
<h3>Part 2</h3>
She needs 9.75 teaspoons and 3 teaspoons make a tablespoon
So..
-1 1/2 is the answer. I'm making 20 characters.
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer:4
Step-by-step explanation:
64 divided by 16 is 4.y-step explanation
