Answer:
III only
Step-by-step explanation:
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Answer: 96 inches in 8 feet
Step-by-step explanation:
12 inches in one foot
12x8=96
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = 
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = 
= 
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± 
= ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Answer:
(3,0,0)
Step-by-step explanation:
3x + 5y + z = 9 --------------(I)
-4y - z = 0 -------------------(II)
z = -4y
2x + 3y - 4z = 6 (III)
Substitute z = -4y in equation (I) and (III)
3x +5y - 4y = 9
3x + y = 9 -----------------------(a)
2x + 3y - 4*(-4y) = 6
2x + 3y + 16y = 6
2x + 19y = 6 -------------------(b)
Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x
(a)*(-19) -57x - 19y = -171
(b) <u> 2x + 19y = 6 </u>
-55x = -165
x = -165/-55
x = 3
Plugin x = 3 in equation (a)
3*3 + y = 9
9 + y = 9
y = 9 - 9
y = 0
Plug in y = 0 in equation (II)
-4*0 - z = 0
z = 0
