Answer:
see explanation
Step-by-step explanation:
given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex which is also the axis of symmetry is
= -
y = 3x² - 24x + 38 is in standard form
with a = 3, b = - 24 and c = 38, hence
= - = 4
Substitute x = 4 into the equation for corresponding y- coordinate
y = 3(4)² - 24(4) + 38 = 48 - 96 + 38 = - 10
vertex = (4, - 10)
equation of axis of symmetry is x = 4
So their are 60 min in an hour. you multiply 60 min times 6 (hours). you get 360 min. Then you divide that by 90 min and you get 4
Answer it orbits 4 times
hope that helps
Because 3/6 is equal to 1/2.
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.
Answer:
Step-by-step explanation:
5x+3y=1
4x-5y=4
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4(5x+3y)=4(1)
-5(4x-5y)=-5(4)
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20x+12y=4
-20x+25y=-20
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37y=-16
y=-16/37
5x+3(-16/37)=1
5x-48/37=1
5x=1+48/37
5x=37/37+48/37
5x=85/37
x=(85/37)/5
x=(85/37)(1/5)
x=85/185
x=17/37
Answer: x=17/37, y=-16/37. (17/37, -16/37)
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5x+3y=1
8x-10y=4
-----------------
8(5x+3y)=8(1)
-5(8x-10y)=-5(4)
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40x+24y=8
-40x+50y=-20
----------------------
75y=-12
y=-12/75=-4/25
5x+3(-4/25)=1
5x-12/25=1
5x=1+12/25
5x=25/25+12/25
5x=37/25
x=(37/25)/5
x=(37/25)(1/5)
x=37/125
Answer: x=37/125, y=-4/25. (37/125, -4/25).
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5x+3y=1
9x-2y=5
---------------
2(5x+3y)=2(1)
3(9x-2y)=3(5)
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10x+6y=2
27x-6y=15
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37x=17
x=17/37
5(17/37)+3y=1
85/37+3y=1
3y=1-85/37
3y=37/37-85/37
3y=-48/37
y=(-48/37)/3
y=(-48/37)(1/3)
y=-48/111
Answer: x=17/37, y=-48/111. (17/37, -48/111).
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Answer:
below
Step-by-step explanation:
l = large no
s = small no
l=s+13
l+s = 67
s+13+s = 67
2s+13 = 67
2s = 54
s=27
l= 40