Answer:
c and e
Step-by-step explanation:
he cant get 2 and there are 8 cards and only one of them is a one
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:
Slope = 0.06
Step-by-step explanation:
From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.
Slope in this scenario will be the rate of change in price of milk with respect to time.
Slope = ∆P/∆t
The standard equation will be expressed as P = mt+c where
m is the slope
t is time
P is the price of milk.
Comparing this with the given model
P(t)=0.06t+2.52
On comparison, we can see that;
m = 0.06
Hence the slope of the expression is 0.06
The answer is 35.
Step By Step Explanation:
First put in terms of numerator/denominator without the 4 in the front. We first multiply 8*4 and then add that to 3. Then our new fraction is 35/8 and then we get our answer of 35
Answer:
12 is the correct answer
Step-by-step explanation:
1) so whenever we're dividing with fractions we need to change the division sign to multiplication and turn the second fraction upside down (reciprocal)
so
6*2/1=12
Julio did change the division sign to multiplication but he forgot to take the reciprocal of the second fraction (he left the second fraction as is)
what Julio did: 6*1/2=3
Hope this helps!
