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Answer:
the desired equation is y = (-1/3)x + 6
Step-by-step explanation:
Let the given line be A: y=3x+2
The slope of line A is m = 3.
The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A: m = -(1/3).
The particular perpendicular line that passes through (3, 5) is then
5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.
Thus, the desired equation is y = (-1/3)x + 6
Answer:
vw= 22
Step-by-step explanation:
To find the dot product of vw, multiply the corresponding numbers and add them.
v= <3, -8, -3> w= <-4, -2, -6>
vw= (3*-4)+(-8*-2)+(-3*-6)
vw= -12+16+18
vw= 4+18
vw= 22
Answer:
V = l×w×h units³
Step-by-step explanation:
The volume of a rectangular prism is V = l×w×h
Using a system of equations, it is found that initially Ada has $0.385.
For the system, we have that the variables are:
- x is Ada's amount.
- y is Betty's amount.
- z is Chris's amount.
- w is David's amount.
$45 total, hence:
Ada <u>gets 2 from Betty</u>, hence:
<u>Chris triples</u> his money and <u>David's</u> money is <u>cut by half</u> four of them have the same amount, hence:
Then:
Solving for w, we find Ada's initial amount.
Initially, Ada has $0.385.
A similar problem is given at brainly.com/question/6120515
