Answer:
Step-by-step explanation:
We can find the equation using the point-slope formula.
where (x₁, y₁) is the point and m is the slope.
We already know the point is (-6,1). We must find the slope.
We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3
Next, define values for the variables.
Substitute the values into the formula.
Now put the equation into the form y=mx+b. First, distribute the -4/3 .
Add 1 to both sides to isolate y.
The equation of the line is y=-4/3x -7
Answer:
Step-by-step explanation:
• General linear equation:
Consinder point (0, 1)
Answer:
8x^6-10x^5+4x^4-5x^3-4x+5
Step-by-step explanation:
Lest distribute the expression given
this is multiply the first term (4x) with the longer expression (2x^5+x^3-1) and then, multiply the second term (-5) with the longer expression (2x^5+x^3-1).
When the above is finish, simply sum all together.
4x* (2x^5+x^3-1)= 8x^6 +4x^4-4x
-5*(2x^5+x^3-1)=-10x^5-5x^3+5
The sum of all together (respecting the coefficient they belong) is shown:
8x^6-10x^5+4x^4-5x^3-4x+5
Answer:
Step-by-step explanation:
We need to simplify . First of we need to know what LCM is, it is the lowest common multiply of two terms or numbers but in this case we are simplifying an algebraic expression so it is terms. Also we need to remember that since we have numbers and letters we must extract the LCM first then do the division so,
12xy ÷ 4y² → First of all we can cancel out the 12 and 4 by 3 and 1
3xy ÷ y² → Then the top y can cancel out with y² so on the numerator there no 'y' and on the denominator there is 'y'
The final answer is
D) 1:6 because she brought 6 paintbrushes and 36 tubes of oil paint, and we can simplify that to 1/6