Answer:
a) L(x,y,z) = (-4,0,2)+(2,8,-7)*t
b) (2-z)/7= y/8=(x+4)/2 (option B)
Step-by-step explanation:
the parametric equation of the line passing through the point P₀= (-4,0,2) and parallel to the vector v=2i + 8j - 7k is
L(x,y,z)=P₀+v*t
therefore
L(x,y,z) = (-4,0,2)+(2,8,-7)*t
or
x=x₀+vx*t = -4 + 2*t
y=y₀+vy*t = 8*t
z=z₀+vz*t = 2 -7*t
solving for t in the 3 equations we get the symmetric equation of the line:
(2-z)/7= y/8=(x+4)/2
thus the option B is correct
Answer:
Between 2.1 and 2.3
Step-by-step explanation:
<u>Step 1: Find between which two numbers</u>
<u />
= 2.23606797749979
2.2360 is between 2.1 and 2.3
Answer: Between 2.1 and 2.3
Answer:
Part A. After 7 hours the amount charged will be the same
Part B. The cost of renting the bike for that many hours (7) will be 60$.
Step-by-step explanation:
5h + 25 = 6h + 18
5h - 6h = 18 - 25
-h = -7
h = -7/-1
h = 7
Company A.
y = 5h + 25
y = (5*7) + 25
y = 35 + 25
y = 60
Company B.
y = 6h + 18
y = (6*7) + 18
y = 42 + 18
y = 60
Binomial 
when added to polynomial 
gives polynomial that does not contain the variable y .
<h3>What is binomial?</h3>
A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
<h3>What is polynomial?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial
when added with
= 
(as 
got cancelled )
that does not contain the variable y
Hence, Binomial when added to polynomial gives that does not contain the variable y .
To know more about Binomial and polynomial here :
brainly.com/question/1698358
# SPJ2
1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630
2. Balance after 1 year with compounded interest = P ( 1 + 
= 600 ( 1 + 
= 600 (1.0511) = $630.66 = approx. $630
