Answer:
y=2.5
Step-by-step explanation:
2y-6=-1
add 6 to negative 1 so that the 2y is all by itself
2y=5
divide 5 by 2
y=2.5
Answer:
-0.25
Step-by-step explanation:
1-3= -2
9-2= 8
-2/8= -0.25
The reason so many objects orbit the Sun in nearly the same plane (called the ecliptic) and in the same direction is that they all formed from this same disk.
While the planets were forming, there was not much peace in our solar system. Clumps of matter of all sizes often collided, and either stuck together or side-swiped each other, knocking off pieces and sending each other spinning. Sometimes the gravity of big objects would capture smaller ones in orbit. This could be one way the planets acquired their moons.
The equation of the line is y = 1/6x + 3
<h3>How to determine the equation?</h3>
The equation of the line is given as:
y = -6x - 14
The above equation has a slope of
m = -6
Let the slope of the other line be n.
So, we have:
n =-1/m ---- slope condition for perpendicular lines
So, we have:
n = 1/6
The equation is then calculated as:
y = n(x - x1) + y1
Where
(x1, y1) = (12,5)
This gives
y = 1/6(x - 12) + 5
Expand
y = 1/6x - 2 + 5
Evaluate the sum
y = 1/6x + 3
Hence, the equation of the line is y = 1/6x + 3
Read more about linear equations at:
brainly.com/question/14323743
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Answer:
7/12
Step-by-step explanation:
You can pretend the given ratio units are the actual weights. Then the desired ratio is ...
book : mug = 7 : 5
book : (book +mug) = 7 : (7 +5) = 7 : 12
The weight of the book is 7/12 of the total weight.