(-4,2) ;m=-1/3 You have to use this formula y=mx+b
1 answer:
Answer:
y = -1/3x +2/3
Step-by-step explanation:
We assume you want the equation of the line through the given point. The point-slope form of the equation is a good place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = -1/3(x +4) . . . . . . fill in given values
y = -1/3x -4/3 +2 . . . . . eliminate parentheses, add 2
y = -1/3x +2/3 . . . . . . . simplify
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Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3
Before inserting the values of the variables, I recommend writing the equation in its simplest form.
First, use the distributive property and distribute 4:-
8x+4y-2y+z
Simplifying,
8x+2y+z
Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.
First, write -2 in lieu of x:-
8(-2)+2y+z
-16+2y+z
Now, write 4 in lieu of y:-
-16+2(4)+z
-16+8+z
-8+z
Final step:-
write -3 in lieu of z:-
-8+(-3)
-8-3
-11
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Answer:
A width: 3 unit cubes
height 3 unit cubes
Step-by-step explanation:
Volume of rectangular prism = 81 unit cubes
= Length of rectangular prism = 9 unit cubes
= Width of rectangular prism
= Height of rectangular prism
Volume of a rectangular prism is given by
The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.
So, the width is 3 unit cubes and the height is 3 unit cubes.
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to
The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}