Step-by-step explanation:
Let the width be x feet.
Therefore, length = 2x - 10
Perimeter of rectangle = 52
what is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units? square root of 18 units
2 answers:
Answer:
Option 1 is correct that is square root of 18.
Step-by-step explanation:
We will use pythagoras theroem to find the length of hypotenuse
Here, c is hypotenuse,a is one leg and b is the other leg.
Here, a=b=3
On substituting the values in the formula we get:
Hence, Option 1 is correct that is square root of 18.
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A) 4a - 3b + 2c
4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =
= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)
Answer: (6, - 5, 26)
b) magnitude of vector b
c) vector of length 7 parallel to vector c
=> m(5,4,0) = (5m,4m,0)
=>
=> m = 7 / √41 ≈ 1.093
=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)
Answer: (5.465 , 4.372 , 0)
4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =
= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)
Answer: (6, - 5, 26)
b) magnitude of vector b
c) vector of length 7 parallel to vector c
=> m(5,4,0) = (5m,4m,0)
=>
=> m = 7 / √41 ≈ 1.093
=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)
Answer: (5.465 , 4.372 , 0)
Answer:
A.
B.
C.
Step-by-step explanation:
A. . Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND
, or any number you like. But yesterday was 3/14 so let's pick a fun number!
B. Or
. Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind
C. . To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.