9514 1404 393
Answer:
x -y = -5
3x +y = -11
Step-by-step explanation:
We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -1 = +1(x +4)
y -1 = -3(x +4)
We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.
<u>First equation</u>:
y -1 = x +4 . . . . . . eliminate parentheses
-5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant
x - y = -5 . . . . . . standard form
<u>Second equation</u>:
y -1 = -3x -12 . . . . eliminate parentheses
3x +y = -11 . . . . . . add 3x+1 to both sides
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A system of equations with solution (-4, 1) is ...
For the line that has a positive slope, the equation is y = 2x - 1
This is because slope is rise over run(rise/run) or m = y₂-y₁ / x₂-x₁. The line goes up(rise) 2 units, and goes to the right(run) by 1 unit.
The y-intercept(the point the line touches when x = 0) is -1.
You use the equation y = mx + b, try to find m and b(y-intercept) and plug it into the equation.
For the line that has a negative slope, the equation is y = -x + 5
Answer:
See Below
Step-by-step explanation:
The relation is :
=> {(-5,0)(2,8)(2,15)(4,16)}
Domain => x inputs of the relation
Domain = { -5 , 2, 4}
Range => y inputs of the relation
Range = { 0 , 8 , 15 , 16}
Answer:
Step-by-step explanBecause many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.
ation:
Answer:
Step-by-step explanation:
Frequency table for the height of the seedlings,
Height (in inches) Number of seedlings
2
4
2
2
Now we can draw the line plot as attached.
Average height of the seedlings = 
= 
= 
