12x+1=-7
-1 -1
12x=-6
/12 /12
x=-1/2 or x=-0.5
Answer:
X= 70 degrees
Step-by-step explanation:
Answer:
Distance: 13, Midpoint: (-2, 3.5)
Step-by-step explanation:
The distance formula is
. We can plug in the numbers from your question so it would be √(4+8)^2+(6-1)^2 = √144+25=169 =√169 = 13
The midpoint formula is ((x1+x2)/2, (y1+y2)/2), which is -8+4/2, 1+6/2 = (-2, 3.5).
Answer:
slope: 1.25
Part B: The order in which the points are given does not change the value of the slope
Step-by-step explanation:
Part A. Given two points we can find slope using the slope formula

Given the points ( -6, 1/2) and ( -4,3 )
We plug in the y values and x values (starting with the last point give )

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25
Part B. The order in which the points are given does not change the value of the slope
Observe -
* flip the order in which the points are given *
given (-4,3) and (-6,1/2)
we use the same formula
*plug in the y and x values starting with the last point*

The slope still equals 1.25 meaning that the order in which the points are given does not matter.
You might think that the volume of a circle is needed to solve this problem but you can do it in a more simplified manner. First figure out how much water 85 marbles displace.
26-20.9=5.1 liters of water
Now, let us see how much water 200 marbles displace.
85 marble x (200/85) = 5.1 liters x (200/85)
200 marbles = 12 liters
We can find the amount of water needed to fill the tank now.
26-12=14 liters of water
answer: 14 liters of water